A small particle of mass m is attached at one end of a light string of length l When it is vetically below O, the string makes contact with nail Study with Quizlet and memorize flashcards containing terms like A rod of negligible mass is pivoted at a point that is off-center, so that length l1 is different from length l2. It then 4 LE 2017 923103P20 2 A light elastic string has natural length a and modulus of elasticity 24mg. consider masses of both rod and particle to be same. The velocity (in m s − 1 Hint: If a charge is present in the space, then it will have its effect over its surrounding area. Find the distance A particle . A mass of 3 . The other end of the string is attached to a fixed point A that is vertically above the point O on 1 A particle of mass 2 kg is attached to one end of a light inextensible string of length 0. 9 kg is attached to one end of a light elastic string, of natural length 1. The other end of the string is attached to a fixed point on a smooth horizontal surface. OA = a. One end of the string is attached to a fixed point A. When . 5a. [3] Leave blank 8 *P43176A0824* 3. 2k points) jee main 2020 A small ball of mass m is attached to the end of the string of length l=1 m whose other end is fixed. A mass is attached to one end of a mass less string (length l), the other end of which is attached to a fixed support O. The mass has the minimum speed (u = √ 5 g l) necessary at the lowermost point of the circle to keep the string from going slack. Moment of inertia of the particle about the pivoted end = \[I' = m' r^2\] \[\Rightarrow I A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical place through this end (see the following figure). The particle is given the minimum velocity to complete a circular path in the vertical ppane as it moves. The particle describes horizontal circles A particle ′ A ′ of mass m is connected to a light string of length l, whose other end is attached to the circumference of the disc. The string passes over a small smooth pulley P fixed at the edge of the table. A simple pendulum of length L is constructed from a point object of mass m suspended by a massless string attached to a fixed point. (a) The string becomes A particle of mass m is attached to a string of length L and given velocity `sqrt(10hL)` in the horizontal direction at the lowest point. The particle remains in equilibrium vertically above O the ball with the string taut. A particle of mass m is attached to the rod at B. A particle of mass `2m` is connected by an inextensible string of length `1. The pulley is fixed at the top of a fixed rough plane, which is inclined to the horizontal at an angle , where tan = 3 4 h m Fig. A particle of mass m is fixed to one end of a light of a light spring having force constant k and unstretched length l. The block B is released from rest One end of a light inextensible string of length l is connected to a particle of mass 'm' having charge ′ q ′ 0 and the other end is connected to a fixed point O as shown in the figure above. particle P of mass m is attached to one end of a light inextensible string of length a. A light elastic string AB has natural length 0. A point particle of mass M is attached to one end of a massless rigid non-conducting rod of length L. Exactly below point O, there is a small ball having charge Q fixed on an insulating horizontal surface. The particle hangs freely in equilibrium at a distance . In the given case particle is moving in complete vertical circle and ratio of its maximum to A particle of mass m is attached to one end of a string of length l while the other end is fixed to a point h meter above the horizontal table. 2 m/s (D) 2. The other end of the string is attached to a fixed point O. The other end is hinged on a table and the rod can rotate freely in vertical plane. The spring remains horizontal on the table. The particle P is in equilibrium with the string taut and making an angle of 20° with the downward OP vertical, as shown in Figure 1. 6 c m. (a) Show that . The particle P moves in horizontal circles about O. The ball is attached to one end of a string. A small stone B of mass m is attached to the other end of the string. The other end of the string is attached to a point O. with the upward vertical through O and 0 < . 1 Two particles P and Q have masses mkg and 1 − m kg respectively. 5 l; 0. Calculate the speed of the ball as its lowest point of the trajectory. The coefficient of friction between P and the table is . Find, in terms of a and g, the time that P takes to make one complete revolution. The rod is held in equilibrium at an angle θ to the ground by a light string that is attached to the end B of the rod. The total downward force on the pulley is nearly. Exactly below point O, there is a small ball having charge Q fixed on an insulating horizontal surface. The tension in the string is 4mg. The particle is on a smooth horizontal table. 5a The rod rests with its end A on rough horizontal ground. The system is set in rotation as shown in figure with constant angular speed. 1 Kg moving horizontally with a velocity 200 ms − 1 strikes and strikes to it . Initially the ring and the particle are at the same level with the string taut. It is given horizontal velocity u at its lowest position. The mass is undergoing circular motion in a X-Y plane with centre at O and constant angular speed \\[\\omega \\]. AD = 2. 6N, the maximum speed with which the stone can be rotated is A particle of mass Q. One end of a light elastic string of unstreched length a and force constant \( 2 mg / a \) is attached to B. A particle of mass m is attached to an end of a uniform rod of mass M =2 m and length ' l ' which is suspended through its mid point by an inextensible string as shown. The rod is fixed at the other end and is rotated in a plane at an angular speed ω. The other end of the string is attached to a fixed point O on a rough horizontal floor. Then the acceleration of the spherer immediately after it is released is : (There is no A particle of mass m is attached to one end of a string of length l while the other end is fixed to a point h meter above the horizontal table. Particle . The angular acceleration of ring just after release is A. When it is vertically below O, the string makes contact with a nail N placed directly below O at a distance h and rotates around it. For the ball completely swing around in a circle centred on the nail, what is the value of d in terms of length l? 0. The system is released A stick of mass M and length L is pivoted at one end. and modulus of elasticity 3. A string of length 3L and negligible mass is attached to two fixed supports at its ends. a body of mass 2kg attached at one end of a light string is rotated along a vertical circle of radius 2m. Consider the particle 1 A particle of mass 2 kg is attached to one end of a light inextensible string of length 0. The system is released from this position. . A particle of mass m, attached to the end of string of length l is released from the initial position A as shown in the figures. 75 kg is attached to one end of a light inextensible string of length 60 cm. 6 m the other end of the string is tied to a small block B of mass 2 m. d = a. Set up the equation for small transverse oscillations of A particle of mass m is attached to a light and inextensible string. hangs freely in equilibrium with . The other end of the string is attached to the wall at . Column II ColumrA A particle of mass m attached to a string of length l is describing circular motion on a smooth plane inclined at an angle α with the horizontal. a particle of mass m is fixed at one end of a light string having force constant k and unstertched length l the other end is fixed. √5 gltan αD. 69A. Q. (a) A particle of mass m is attached at a distance L from the left end of the string. angular momentum of B with respect to A). O, and . The mass swings around in a vertical circle as shown in fig. The particle is made to revolve in circle on the table so as the make P revolution per second. The string passes through a smooth hole in the table and its other end is attached to a small particle of same mass. A small peg is placed a distance 2L/3 directly below the fixed pivot point so that the pendulum would A light rod of length L is pivoted at the upper end. M L; 2 M L; 4 M A particle of mass m is attached to a light string of length l, the other end of which is fixed. The Other end of the string is attached to A rod of mass m and length l hinged at one end is connected by two springs of spring constants k 1 and k 2 so that it is horizontal at equilibrium. The other end is hinged on a table and the rod can rotate freely in vertical pla asked Jun 26, 2019 in Physics by DikshaKashyap ( 41. O A small ring of mass m attached at an end of a light string of length l = 0. The rod is kept horizontal by a massless string tied to point `Q` as shown in the figure. a) Determine A particle of mass m attached with a massless spring natural length l and stiffness k is released from rest from the horizontal position of the relaxed spring. The particles are attached to the ends of a light inextensible string which passes over a smooth fixed pulley. From its lowest position, the ball is given a kinetic energy ml/5. The locus of the tip of the acceleration vector of the particle is a A particle of mass 100 g is attached to the upper end of the stick through a light string of length 1 m. A particle of mass m and charge q is attached to a light insulating thread of length L. 9 Kg suspended from a string of length 0 . The particle first comes to instantaneous rest at the point B. When the particle is resting in equilibrium it is given a horizontal speed of . 6 s−1 in a horizontal circle whose centre O lies vertically below Q. The Q5. The ring is free to move on a fixed smooth horizontal rod. Figure 3 One end of a light elastic string, of natural length l and modulus of elasticity 3mg, is fixed to a point A on a fixed plane inclined at an angle a to the horizontal, where sin a = . The string is inclined at 60° to the vertical. The A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The spring remains horizontal. 6 m. √5 gl B. 2 m/s (B) 2. If the particle moves in a circle with speed the net force on the p Mass m 1 moves on a slope making an angle θ with the horizontal and is attached to mass m 2 by a string passing over a frictionless pulley as To one end of a string of length l a particle of mass m is attached whereas the other end is fixed A nail is located at a distance d below the point of suspension. is vertically below . The block B is released from rest One end of a massless spring of constant 100 N/m and natural length 0. (4) The particle is moved from B to the mid-point of the A small particle is attached to one end of a string. Another point particle of same mass is attached to the other end of the rod. Find the speed of particle when string becomes vertical. The rod can rotate freely in the plane of paper about the other end, which is hinged at P. ) A particle of mass m is attached to the end of a light inelastic string of length 1. Four A particle of mass 2kg is attached to one end of a light elastic string of natural length 1. A particle P of mass 0. Initially string is just taut and Tangential to the disc, particle A is at rest. In this area, it can exert forces on all other charges present. The other ends of the strings are attached to fixed points A and B , where A The diagram above shows a particle B, of mass m, attached to one end of a light elastic string. `g/(6r)` C. e. Initially, the rod is in horizontal position and at rest. initially the system is at rest when a particle of mass m falls on the pan and sticks to it. Find the angle (θ) made by the string with the vertical when the string becomes slack. L⃗0 and L⃗p do not vary with time. Two particles of mass m each are attached to a light rod of length d, one at its centre and the other at a free end. The other end of the string is fixed at O and the particle moves in a vertical circle of radius r equal to the length of the string as shown in the figure. is attached to one end of a light elastic string of natural length . Nos. The rod can turn freely in a vertical plane about O. The tension in the string is T. One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. 1). asked Jun 24, 2019 in Physics by Anshu Priya ( 25. Initially, the rod is kept vertical and the string horizontal when the system is released from rest. The other end is fixed. The block B is released from rest from the position shown. Where, \[L\] is the length of the given string, \[M\] is the mass attached to the other end of the string and \[f\] is the frequency of the motion. The particle is held in contact with the wire with the string taut and is then let to fall. The string is held taut with OP making an angle a with the downward vertical, where cos 3 a=2. A particle of mass m and charge q is attached to a light rod of length L. Initially the rod is in horizontal position and at rest. of mass . √5 glsin α Q. Given that the rotational inertia of a uniform rod pivoted around one end is 1/3ML^2, determine the rotational inertia of the described system. 5 k A particle P is attached to one end of a light inextensible string. Find (a) the tension in the A particle of mass m is attached to a light string of length l, the other end of which is fixed. The system is A string of length, L, is fixed at one end and carries a mass, M at the other end. When the particle passes through its lowest point, the maximum length of the spring becomes 2l. 0 m from particle 1 and L_2 = 3. The angular acceleration of the system isB. 8. The other end of the string is attached to a fixed point O. 3 to 5) A small particle of mass m attached with a light inextensible thread of length Lis moving in a vertical circle. 8 m and modulus of elasticity 19. In the same horizontal plane another particle B of same mass m moving with velocity v 0 perpendicular to string collides A small bob hangs at one end of a massless string of length l and the other end of the string is fixed. A particle of mass m attached to the end of string of length I is released from the horizontal position. Particles 1 and 2, each of mass m, are attached to the ends of a rigid massless rod of length L_1 + L_2, with L_1 = 1. The particle P is in equilibrium with the string taut and OP making an angle of 200 with the downward vertical, as shown in Figure 1. Initially the string is kept horizontal and the particle is given an upward velocity v. Take . is vertically above . The mass is raised such that the string is horizontal and released. In the given case particle is moving in complete vertical circle and ratio of its maximum to minimum A particle P of mass 2. The other end of the string is attached to a point . String becomes taut at position 2 and reaches the lowest position 3, then find the velocity of the ball after the strings become taut. The string lies along the horizontal plane and in the vertical plane that contains A particle 'A' of mass m is connected to a light string of length l, whose other end is attached the circumference of the disc. At lowest point . A particle of mass m is attached at a distance L from one end of the string. The end A of the rod is freely hinged to a point on a vertical wall. 5 kg is attached to one end of the string. is attached to one end of a light inextensible string of length . The plane is inclined to the horizontal at an angle α, where tan α = 3 4 The string passes over a pulley P that is fixed at the top of the plane. A particle P of mass m is attached to one end of a light rod of length l. Just after the release. One end of the string is attached to a particle P, Of mass 0. if the string can withs†an d a maximum tension of 140. The point A is vertically below O, and OA = a. The string AB lies along a line of greatest slope of the plane, with B lower than A and AB = a. A particle of mass m is attached to one end of a light , inextensible string of length l whose either end is fixed at c. The other end of the string is fixed at a point O on a rough A particle of mass m is attached to one end of a string of length l while the other end is fixed to a point h above the horizontal table, the particle is made to revolve in a circle on the table, so as to make P revolutions per second. The other end of the string is attached to a fixed point O on a rough horizontal table. One end of a light inextensible string is attached to the rod at C, where AC = 3a. The particle P is projected perpendicular to OP in an upwards direction with speed 3ag. The diagram above shows a uniform rod AB of mass m and length 4a. The maximum A light elastic string with natural length l and modulus of elasticity kmg has one end attached to a fixed point A on a rough inclined plane. A force P is applied to the other end of the string so that the mass can rotate in a A particle of mass . The other end of the string is attached to a fixed point O on a smooth horizontal plane. is A mass is attached to one end of a mass less string (length l), the other end of which is attached to a fixed support O. 5 m/s Q. When the particle is hanging in equilibrium, with P at A, it is given a horizontal velocity of magnitude #. 3 m. d. The other end of the string is attached to a particle Q of mass m which lies on a smooth horizontal plane. One end of a light inextensible string of length l is attached to a particle of mass m resting on a smooth horizontal table. 6mg. the system is given in a angular speed omega about the fixed end of string such that it rotates in gravity free Two particles of mass 'm' each are attached to a light rod of length 'd', one at its centre and the other at a free end. 7 l The particle P is attached to one end of a light inextensible string. The mass is undergoing circular motion in the x-y plane with center at O and constant angular speed ω. The other end of the string is tied to a small blockB of mass '2m' . The point . The other end of the string is attached to a particle B of mass 1. If the A small ring of mass m and a particle of mass 2m is attached by a string of length l. If the angular momentum of the A particle of mass m attached to a string of length l is describing circular motion on a smooth plane inclined at an angle α with the horizontal. The other end of the rod is attached to a fixed point O. 2 m` to a ring of mass m which is free to slide on a horizontal smooth rod. is attached to the rod at . Initially B is held at rest on a rough fixed plane inclined at angle O to the horizontal, where tan t) — . When OP makes an angle with the A particle of mass 2 kg is attached to one end of a light elastic string of natural length 0. P is held at rest with the string taut and both straight parts of the string vertical. `v/(8r)` One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. O. A particle is attached to the lower end of a uniform rod which is hinged at its other end as shown in the figure. For the particle to complete the loop, its velocity at the lowest point should exceed A particle ′ A ′ of mass m is connected to a light string of length l, whose other end is attached to the circumference of the disc. A small ball A of mass 2. The block B is released A bead can slide on a smooth straight wire and a particle of mass m is attached to the bead by light string of length L. 6 N. The two particles carry charges + q and − q repectively. 5 kg is attached to the end B. Question: A particle of mass m is attached to a light string that runs through a smooth hole in a circularly shaped bowl that lies in the vertical plane. The centre of mass of the rod is at the point G. Length of the string (or rod) = r = l = 1 m. For the particle to swing completely around the nail in a circle, A particle P is attached to one end of a light inextensible string. The mass is undergoing circular motion in the x y plane with centre at O and constant angular speed ω. A body of mass m= 20 g is attached to an elastic spring of length L=50 cm and spring constant k=2 `Nm^(-1 Q. find the speed with which the system moves just after the collision Related: Centre of Mass - System of 2 LE 2020 92313320 1 A particle P of mass m is attached to one end of a light inextensible string of length a. Initially A is held at rest on a fixed rough plane. The particle is projected with speed u from a point A, where OA makes an angle . The particle lies at rest at the point A on the table, where OA l= 7 6. In the same horizontal plane 4 *P68824A0420* 2. The electric field is a A uniform rod AB has mass M and length 2a A particle of mass 2M is attached to the rod at the point C, where AC = 1. The entire assembly lies in a uniform electric field E also acting in the plane of paper as shown. A particle of mass 100 g is attached to the upper end of the stick through a light A particle of mass m is attached to one end of a weightless and inextensible string of length L. The other end of the string is connected to a small particle of mass `m` that rest one the sphere. 1. 0 m from particle 2. This arrangement of ring and particle is released from rest from the situation shown in figure. 5 kg attached to one end of a light inextensible string of length 1 m. B. (a) The string becomes slack when the particle reaches its highest point. The distance in meter moved by the ring when the string becomes veritcal is :- A particle P of mass m is attached to one end of a light elastic string of natural length l and modulus of elasticity 3mg. The other end of the string is attached to a fixed point A, at a distance smooth horizontal table. The maximum angle through which the system swings just before A smooth ball A of mass is attached to one end of a light inextensible string, and is suspended from fixed point O. (3) The point . (a) The string becomes A light rigid rod of length L = 8 5 m hinged at one end has a bob of mass m attached to its other end. 5m and modulus of elasticity 50√3 N. 4. Find speed (in m/s) of bob at the lowest point when rod is released from vertical position. The other end of the thread is secured at point O. on a ceiling. The ring is free to move on smooth horizontal rod. What is the value of m in terms of the known masses?, A system of wheels fixed to each other is free to rotate about a frictionless axis through the common center of the wheels and perpendicular to the page. The particle remains in equilibrium vertically above the ball with the string taut. The angular acceleration of the 4 *P68824A0420* 2. Find speed (in m/s) of bob at the lowest A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. A horizontal force of magnitude 12 N is applied to P. A particle P of mass m is attached to one end of a light elastic string, of natural length a and modulus of elasticity 3. Initially string is just taut and tangential to the disc, particle A is at rest. The string passes through a hole in the table and to its other end is attached a small particle of equal A light inextensible string Of length 1 m passes through a small smooth hole A in a fixed smooth horizontal plane. The mass has the minimum speed (u = √ 5 g l) necessary at One end of string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table If the particle moves in circle with speed v the net force. The particle is moving with constant angular speed & rad s –1 in a horizontal circle whose centre is vertically below A. 8 kg rests on a horizontal table and is attached to one end of a light inextensible string. The minimum speed given to the particle so that the rod performs circular motion in a vertical plane will be : (length of the rod is l. The stick is held horizontally and released from rest. Complete step by step answer: We start by writing down the given information in the question, Leave blank 10 *P40094A01028* 4. A small ball of mass 2m is attached to the free end of the string. The particle is held horizontal with the string taut. The angular frequency of the system is in rad / s [. What horizontal velocity must be imparted to the lower end mass, so that the rod A particle of mass m is tied to one end of a string of length l. The part ofthe string from B to P is parallel to a line of 12 greatest slope of the plane. The other end of the string is attached to a fixed point . A particle of small mass m is joined In the adjacent figure, a uniform disc of mass 2m and radius l/2 is lying at rest on a smooth horizontal surface. The particle is projected horizontally from A with speed √(3ag). The collision between the ball and the hemisphere is elastic. If you cut the string, when it is making angle θ (as shown in figure) A particle of mass m is attached to an end of a uniform rod of mass M = 2 m and length ' l ' which is suspended through its mid point by an inextensible string as shown. If given a sideways velocity v0, the particle circles the hole with radius r0. 5 kg, which hangs in equilibrium below the plane. The string passes over a small smooth pulley. The rod is released from rest when it makes an angle θ with the electric field direction. a. 5k points) A particle of mass m. Find the tension in A particle of mass m is attached to a light string of length l, the other end of which is fixed. A ball of mass m is attached with a light string of length ℓ and released from position 1. The other end of the A string of length 3L and negligible mass is attached to two fixed supports at its ends. (a) Show that GD = d. Find the velocity of A ring and tension in the string A particle P of mass m is attached to one end of a light inextensible string of length r, the other end being attached to a fixed point O. Two masses (each m), are attached to the rod, one at the middle and the other at the free end. The particle is just able to complete a circle. A particle . The system is given an angular speed ω about the fixed end of the spring, such that it rotates in a A particle of mass m is attached to a light string of length l, the other end of which is fixed. Set up the equation for small One end of a light string is fixed at a point that is vertically above the centre of the sphere. Distance of the ball from point O is L. A small particle of mass `m` attached with a light inextensible thread of length `L` is moving in a verical circle. When a particle of mass m is attached to a vertical spring of spring constant k and released, its the lower end of unstretched spring. Then ω is A body of mass m = 10 kg is attached to one end of a wire of length 0. < 2. The other end B of the string is attached to a particle of mass m which is held at rest on the plane. 5 . The maximum value of P if the particle is to be in contact with the table, will be One end of string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. 5 m/s (C) 3. The other end of the string is attached to a particle of mass 2m. Question: A particle of mass m on a frictionless tabletop is attached to one end of a light string. 2 kg which hangs freely below the pulley, as shown in Fig. The particle moves with constant angular speed 1. Figure 1 A particle A of mass 2 kg is attached to one end of a light inextensible string. The ring is frictionless and free to slide on the rod. Find tension in the string when the particle is at (a) (i) lowest position (ii) highest position, (b) when the string makes an angle `60^(@)` with (i) lower vertical and (ii) upper vertical. 5 m is at rest. The rod is held horizonta As shown in the figure below, An object of 1 A particle P of mass m is attached to one end of a light inextensible string of length a. 2 m and modulus of elasticity 29. (a A light rigid rod has a small ball of mass m attached to its one end. 1k points) A light rigid rod has a small ball of mass m attached to its one end. The other end of the string is attached to a fixed point A on a ceiling. The bob is given a sharp hit to impart it a horizontal speed of √ 3 g l. The system is released from rest when `B` is dierctly above `A` and rolls without slipping. D, where . 8 m. Find the velocity of A ring and tension in the string when it becomes vertical. 4 N. ag). `g/(4r)` B. The two particles are both held at rest, 1. The particle is held at A and then released from rest. When it is vertically below O, the string makes contact with a nail N placed directly below A uniform rod AB has mass M and length 2a A particle of mass 2M is attached to the rod at the point C, where AC = 1. A particle B of mass 4 kg is attached to the other end of the string. A small body of mass m = 10 kg hangs at one end of a string of length l, the other end of which is fixed. Find the angle turned A small particle of mass `m` is attached at `B` to a hoop of mass `m` and radius `r`, whole system is placed on the rough horizontal ground. The string makes 2 / π revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is. The string just becomes slack, when it covers an angle 120 ∘ with the initial position. (i) T, (ii) T - A particle of mass `m` is rigidly attached at `A` to a ring of mass `3m` and radius `r`. (a)Find, in terms of a, the extension of the string when the particle hangs freely in equilibrium below A. The other end of the string is threaded through a small hole in the tabletop, and held by a person under the table. A small mass m<M is attached to the right-hand end of the stick. The ball is held at a point C on the plane, where C is below A and AC = l as shown in Figure 3. The maximum angular speed (in rad s^–1) asked Jan 27, 2020 in Physics by KumariMuskan (33. 25 m and modulus of elasticity 25 N. B. and . a particle 'a' of mass m is connected to a light string of length l , whose other end is attached to the circumference Question 1 (**) Two particles A and B of respective masses 5 kg and 9 kg are each attached to the two ends of a light inextensible string which passes over a smooth pulley P. A particle of small mass m is joined to a very heavy body of mass M by a light string passing over a light pulley. If the angular momentum of the system, calculated about O and P are denoted by L 0 and L P respectively, thenA. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre. B A small ring of mass m attached at an end of a light string of length l = 0. The particle is released from rest with the string taut and OP horizontal. One end of string of length l is connected A small ring of mass m is attached at one end of a light string of length l = 0. If the particl Leave blank 16 *N29501A01624* 5. 5 kg is held at rest on a rough horizontal table. (A) 2. makes an angle θwith the upward vertical through . The other end of the thread is secured at point O. The coefficient of friction between the particle and the floor is 0. The block B is released from rest A particle . A small ball of mass 100g is attached to a light and inextensible string of length 50cm. One end A of a light elastic string AB, of modulus of elasticity mg and natural length a, is fixed to a point on a rough plane inclined at an angle to the horizontal. This property of the charge is known as the electric field. Find the velocity (In m/s) of the ring when the string becomes vertical. A particle A of mass 0. The other end of the string is attached to a point, O, on the ceiling. One end of a light inextensible string is attached to the rod at . The tension in the string is 20 N. The string is perpendicular to the rod, as shown A particle of mass m and charge q is attached to a light insulating thread of length L. AC = 3. The other end of the string is attached to a fixed point Q which is 0. √5 glcosα+1C. Figure 1 A non-uniform rod AB, of mass m and length 5d, rests horizontally in equilibrium on two supports at C and D, where AC = DB = d, as shown in Figure 1. Another body of mass 0 . The particle is projected horizontally from . Calculate the angular momentum of the particle One end of a massless spring of spring constant k and natural length l 0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. (g =10ms-2) Passage 2 (Q. Calculate the angular momentum of the particle at the end with respect to the particle at the centre (i. P. When the particle is held at rest at a point B on the plane, where OB = 2 m, the A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. A particle P of mass m is attached to one end of a light inextensible string of length a. C, where . It is then projected upward with a velocity u. is attached to a light string of length l, the other end of which is fixed. A small ring of mass m attached at an end of a light string of length l = 0. 75 m above a horizontal floor with the portions of the strings, not in contact with the pulley, vertical. 5 m above a smooth horizontal surface. m. The string passes through a hole in the table and to its other end is attached a small particle of equal Jan 19,2025 - A small ring of mass 'm'is attached on one end of a light string of length l=0. 5 kg lying on a frictionless horizontal table. For the particle to complete the loop, its velocity at the lowest point should exceedA. The other end of the string is attached to a fixed point. [2] Two particles A and B, of mass 7 kg and 3 kg respectively, are attached to the ends of a light inextensible string. 6m. Question: A string of length 3L and negligible mass is attached to two fixed supports at its end. If the mass is made to rotate at angular velocity of 2 A rod `PQ` of mass `M` and length `L` is hinged at end `P`. Another identical ball B, is dropped from a height h, so that the string just touches the surface of the sphere. The string passes over a pulley P which is fixed at the edge of the table. Choose the correct option(s). The ring is free to move on a fixed smooth horizontal rod. If the angular A particle of mass m is attached to an end of a uniform rod of mass M=2m and length l, which is suspended through its mid point by an inextensible string as shown. The other end of the string is attached to a package of A small ball P of mass m is attached to the ends of two light inextensible strings of length l . 1=1 m , b =1/2 √2 m , k 1=16 N / m Q. P43175A 4 4. with speed √(3. The particle rotates in a circle about O as shown. mg. The particle moves in a vertical circular path about O. 5 m is fixed and the other end is connected to a particle of mass 0. the net acceleration (in `m//s^(2)`) of the ball at the instant when the string makes an angle `theta ` of `37^(@)C` with the downwards vertical is_____ A particle of mass m is attached to a light string of length l, the other end of which is fixed. (a) Find the tension in the string when OP makes an angle of 60° with the downward vertical. A particle of mass 0. P and Q are eachat a height of hm above horizontal ground (see Fig. A (3m) α P B (m) Figure 1 A small stone A of mass 3m is attached to one end of a string. In the same horizontal plane another particle B A particle of mass m attached to the end of string of length l is released from the horizontal position. The tension in the string is m g 2 when it is inclined at an angle 30 0 to the A particle of mass m is attached to one end of a weightless and inextensible string of length L. Both bodies are free to move. What is the period for small transverse oscillations of m? (b) A second particle of mass m is connected to the string a distance L=2 from the A small bead ' \( B \) ' of mass \( m \) is free to slide on a fixed smooth vertical wire as indicated in the diagram. The rod is held in equilibrium at an angle O to the ground by a light string that is attached to the end B of the rod. OP. L⃗O varies with time 2. The particle is moving in a circular path on the surface. Another particle having charge 'q' is fixed at O. of mass 0. The string passes over a small smooth pulley that is fixed at the top of the plane. Find how many revolutions the particle makes per minute. A small ring of mass m is attached at one end of a light string of length l = 0. m T (a) 21 (b) -E (a) A particle of mass m is attached a distance L from one end of the string, as shown. 4 l; 0. The other end of the string is attached to a small ball B of mass 1. The system is released from rest and rolls without sliding. The end A is attached to a fixed point. D. The particle is then pulled vertically down to a point . A particle of mass m is placed on the rod at B and the rod is on the point of tipping about D. Find the velocity of A ring and tension in the string A light elastic string has natural length 1. Both are then released simultaneously. 6 l; 0. The rod is released from vertical position and while falling the ball at its end strikes a hemisphere of mass m lying freely on the table. A. The other end of the string is tied to a small block B of mass 2 m. The string makes an angle `alpha = 30^(@)` with the vertical. The string is tied to a support O and the mass m released from point A which is at a horizontal distance of 30 cm from the support. The rod rests horizontally in equilibrium in a vertical plane perpendicular to the wall a block of mass m and a pan of equal mass are connected by a string going over a smooth light pulley. vertically below . if the particle strike the pan with a speed v. The particle A small ring of mass m is attached at one end of a light string of length l = 0. If the bead has the mass 2 m, then when the string makes an angle θ with the wire the bead will have slipped a distance. 6 m the other end of which is tied to a block B of mass 2 m.
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