A rod ab of mass m and length l is lying on a horizontal frictionless surface a particle of mass m. The ratio of masses (M m) is x1.
A rod ab of mass m and length l is lying on a horizontal frictionless surface a particle of mass m. (a) Find the ratio m/M (b) A point P on the cord is at rest immediately after the collision. The cart rolls without friction in the horizontal direction. Find the ration m/M. Find the distance AP A frictionless rod ABC and a particle P of mass m are lying on a frictionless horizontal floor as shown in top view of the situation. Jun 12, 2019 · A rod `AB` of mass `M` and length `L` is lying on a horizontal frictionless surface. Jun 6, 2019 · A straight rod `AB` of mass `M` and length `L` is placed on a frictionless horizontal surface. The block slides over a rough surface 15 m in length (µk = 0. It collides and sticks to the rod at a distance 2d=3 from the pivot. Knowing that the rod weighs 2 lb, determine: (a) The acceleration of point A. (b) A point P on the rod is at rest immediately after collision. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v0 in a direction perpendicular to AB. J 2 m C. They are placed on a frictionless horizontal surface. A uniform rod of length L and mass 4m lies on a frictionless horizontal surface on which it is free to move anyway. A particle of mass `m` traveling along the surface hits the end `A` of the rod with a velocity `v_ (0)` in a direction perpendicular to `AB`. If g is acceleration due to gravity, work A rod AB of mass M and length L is lying on a horizontal frictionless surface. Problem V-3 applied in the direction shown. 2 J m Q. A horizontal force having contstant magnitude `F` and fixed direction starts acting at the end `A`. Nov 7, 2021 · A particle of mass m traveling along the surface hits the end A of the rod with a velocity v_ (0) in a direction perpendicular to AB. If the block compresses the Two small balls A and B, each of mass m, are joined rigidly at the ends of a light rod of length L. After the collision the particle comes to rest. An impulse Mv, perpendicular to the rod, is given at one end of the rod as shown in the figure. One end of the rod can pivot about an axis that is perpendicular to the rod and along the plane of the page. A horizontal force of constant magnitude F acts on the rod at a distance of L/4 from the centre. There is no friction at the pivot. A particle of mass m travelling along the surface hits the end A of the cord with a velocity v0 in a direction perpendicular to AB and comes to rest. After collision, particle comes to rest. A uniform rod of length ℓ and mass m rests on a frictionless horizontal surface. The collision is completely elastic, and after the collision, the particle comes to rest. Find the initial acceleration of end B. Jun 7, 2023 · A rod CD of length L and mass M is placed horizontally on a frictionless horizontal surface as shown A second identical rod AB which is also placed horizontally perpendicular to CD on the same horizontal surface is moving along the surface with a velocity v in a direction perpendicular to rod CD and its end B strikes the rod CD at end C and A rod AB of mass M and length L is lying on a horizontal frictionless surface. Find a numerical value for the ratio m/M . The position of the cart in the inertial frame Oxyz is given by xi ˆ . The distance covered by one of the end points of the rod during the time the rod completes one full rotation is nl. Find the distance Nov 7, 2024 · A rod of mass M and length L is lying on a horizontal frictionless surface. A uniform rod of mass and length is kept on a smooth horizontal plane. An inelastic ball of mass m is fixed with the rod at a distance L/3 from O. (c A rod of mass m and length L, lying horizontally, is free to rotate about a vertical axis through its centre. The two spheres are resting on a horizontal, frictionless surface when A is suddenly given the velocity v 0 (3. Assume that the rod has mass m and length of L. The ratio m M is : A rod `AB` of mass `M` and length `L` is lying on a horizontal frictionless surface. Problem 1: A slender uniform rod of mass m2 is attached to a cart of mass m1 at a frictionless pivot located at point „A‟. An impulse P is applied to the end B. Find the ratio m/M (b). 4) before moving again on a frictionless surface and then impacting upon a uncompressed spring. (b) The velocities of A and B 13A frictionless rod ABC and particle P of mass m are lying on a frictionless horizontal floor as shown in the top view of the situation. An impulse J is applied to the end B, perpendicular to the rod in the horizontal direction. The angular velocity acquired by the rod is : A uniform, rigid rod of length 2m lies on a horizontal surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. The rod is lying on the smooth horizontal surface. Find the ration `m//M`. Jan 20, 2020 · A rod AB of mass `M` and length L is lying on a horizontal frictionless surface. The rod is suddenly made to move with a constant velocity U towards the right along portion BC. The value of ' x ' will be ______. After collision, the particle becomes stationary, but the rod translates with speed v and rotates anticlockwise with angular speed ω about the centre of the rod O. A rod of mass M and length L is lying on a horizontal frictionless surface. 75 lb is applied at A in a direction perpendicular to the rod. The initial acceleration of end B is xF /M. A particle of mass `m` traveling along the surface hits the end `A` of t Q. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + + particle) system. A rod of length l lying horizontally on a smooth horizontal surface is moving with centre of mass velocity v and angular velocity ω = 2v l. A particle of mass m travelling along the surface hits the end A of the rod with a velocity vo in a direction perpendicular to AB. A horizontal force having constant magnitude F and fixed direction starts acting at the end A. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v0 in a direction perpendicular to AB . The cart is connected to a fixed wall by a spring and a damper. Another ball of mass 2 m moving with speed u towards one ball and perpendicular to the length of A rod of mass m and length L, lying horizontally, is free to rotate about a vertical axis through its centre. (c A straight rod AB of mass M and length L is placed on a frictionless horizontal surface. A particle of same mass M M moving with speed v0 v 0 perpendicular to the length of the rod strikes the end of the rod and sticks to it. A ball of mass m moving with speed v as shown in the figure. A uniform rod of length l and mass 4 m lies on a frictionless horizontal surface on which it is free to move anyway. shown. 20 m is lying on a horizontal frictionless surface. A A rod rod CD CD of of length length L L and and mass mass M M is is placed placed horizontally horizontally on on a a frictionless frictionless horizontal horizontal surface surface as as shown. A particle of mass m travelling along the surface hits the end of the rod with a velocity vo in a direction perpendicular to AB. Find x. A uniform rod of length l and mass 4m lies on a frictionless horizontal surface on which it is free to move. A horizontal force having constant magnitude F and a fixed direction starts acting at the end A. (c) The location of the point on the rod that has zero acceleration. After the collision the particle comes to rest (i) Find the ratio m/M (b) A point P on the rod is at rest immediately after collision. The rod is suddenly made to move with a constant velocity v towards the right along portion BC. Nov 10, 2023 · A rod of mass m and length l is lying on a horizontal frictionless surface. If one of the particle is given an impulse MV as shown in the figure then angular PROBLEM 14. Aug 4, 2021 · A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. Rigid Rod rigid uniform rod of length d and mass m is lying at rest on a horizontal frictionless table and pivoted at the point P. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v0 in a direction perpendicular to AB. The collision is elastic. A uniform slender rod is at rest upon Find: a frictionless horizontal surface when a force F is applied in the direction shown. A uniform rod AB of mass m and length l at rest on a smooth horizontal surface . The ratio of masses m M is 1 x. (b) The velocities of A and B Jun 12, 2019 · A uniform rod of mass M M and length L L lies on a frictionless horizontal plane. The magnitude of the torque produced by Question: Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force F is Rectangular applied in the direction shown. 2 J m B. After the collision the particle comes to rest (a). Jun 7, 2019 · A rod AB of mass `M` and length L is lying on a horizontal frictionless surface. angular velocity of of the rod. A particle of mass m, traveling along the surface, hits one end of the rod with a velocity u in a direction perpendicular to the rod. A particle of mass m travelling along the surface hits the end A of the rod wi A rod of mass M and length L is lying on a horizontal frictionless surface. Jan 16, 2022 · A frictionless rod ABC and a particle P of mass m are lying on a frictionless horizontal floor as shown in top view of the situation. A ball of mass m moving with speed v as shown in figure collides with the rod at one of the ends. Calculate tension in the rope at distance x as shown. A straight rod AB of mass M and length L is placed on a frictionless horizontal surface. 5 m v 2 (b) m v 2 (c Two small balls A and B, each of mass m, are connected by a light rod of length L. (Hint: Apply conservation of linear momentum, angular momentum, and A rod AB of mass M, length L is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A particle of mass m traveling along the surface hits the end A of the rod with a velocity v0 in a direction perpendicular to AB. A rod with length L, mass m, and resistance R slides without friction down parallel conducting rails of negligible resistance, as shown in the figure. A particle of mass m traveling along the surface hits one end of the rod with a velocity u in a direction perpendicular to the rod. Question: A rod AB of mass M and length L is lying on a horizontal frictionless surface. If the ball comes to rest immediately after the collision, then find the angular velocity ω of the rod just after collision. 45 Two small spheres A and B, of mass 2. The ratio of masses (M m) is x1. Find the distance AP (c) Find the A uniform rod of mass `M` and length `L` lies on a frictionless horizontal plane. The system is lying on a frictionless horizontal surface. A particle of mass m traveling along the surface hits the end 'A' of the rod with a velocity V0 in a direction perpendicular to AB. Velocity of end ' B ' just after collision will be: ωL 2ωL A rod AB of mass M, length L is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity {eq}V_0 {/eq} in a direction perpendicular to AB. A ball of mass m moving with speed v as shown in figure, collides with the rod at one of its ends. (b) The velocities of A and B Problem V-3 applied in the direction shown. The system is lying on a horizontal frictionless surface. The collision in elastic. The rod pivots about a fixed frictionless axis at one end. (b) The acceleration of point B. A uniform rod of length L and mass M is lying on a frictionless horizontal plane and is pivoted at one of its ends as shown in figure. (c Jan 14, 2023 · Two small balls A and B, each of mass m, are connected by a light rod of length L. A rod AB of mass M, length L is lying on a horizontal frictionless surface. After the collision, the particle comes to rest. The particle of mass m collides with the rod horizontally with the velocity v0 perpendicular to the rod and gets stuck to it as shown in the figure Jul 21, 2023 · A rod AB of mass M, length L is lying on a horizontal frictionless surface. A particle of same mass `M` moving with speed `v_ (0)` perpendicular to the length of the rod strikes the end of A uniform rod of length L and mass 4m lies on a frictionless horizontal surface on which it is free to move anyway. Following Mar 26, 2024 · A uniform slender rod AB rests on a frictionless horizontal surface, and a force P of magnitude 0. (b) The velocities of A and B Two small balls A and B, each of mass m, are connected by a light rod of length L. A particle of mass `m` travelling along the surface hits the end A of the rod with a velocity `v_ (0)` in a direction perpendicular to AB. The time taken by the rod to turn thro A rod of mass M and length L is lying on a horizontal frictionless surface. It collides with the rod at one of the ends. A horizontal pulling force F is acting at one end of rope. The collision is completely elastic. The mass of the bullet is one-sixth the mass of the rod. A uniform rope of mass M and length L is placed on a smooth horizontal surface. A particle of mass m travelling along the surface hits the end A of the cord with a velocity v 0 in a direction perpendicular to AB and comes to rest. A particle of mass m travelling along the surface hits the end 'A' of the rod Oct 24, 2022 · Samuel Discussed A rod of mass ' M ' \& length ' L ' lying on a frictionless horizontal surface is initially given an angular velocity ' ω ' about vertical axis with centre of mass at rest but not fixed. Speed of the particle P at a distance l 6 from the centre towards A of the rod after time t = π m l 12 J is: A. A uniform rod AB of mass m and length l are on a smooth horizontal surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v 0 in a direction perpendicular to AB. A particle of mass m travelling along the surface hits the end ‘A’ of the rod with a velocity V0 in a direction perpendicular to AB. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its center and becomes embedded in it. A particle of mass ‘m’ travelling along the surface hits at one end of the rod with a velocity ‘u’ in a direction perpendicular to the rod. The collision is plastic. b. The value of ‘x’ will be _____. The particle of mass m collides with the rod horizontally with the velocity v0 perpendicular to the rod and gets stuck to it as shown in the figure A uniform rod of length l and mass 4m lies on a frictionless horizontal surface on which it is free to move. If the ball comes to rest immediatel A rod AB of mass M and length L is lying on a horizontal frictionless surface. A second force F is applied to the free end of the rod so that the rod remains at rest, as shown in the figure. Assuming (a) Determine that the the rod acceleration has mass of m the and rod's length center of L, of mass G; and determine the (a) acceleration of (b) the Determing rod’s Jan 14, 2023 · Two small balls A and B, each of mass m, are connected by a light rod of length L. 5 kg and 1 kg, respectively, are connected by a rigid rod of negligible weight. Find: (a) The angular velocity of the system after the collision. The particle of mass m collides with the rod horizontally with the velocity v0 perpendicular to the rod and gets stuck to it as shown in the figure. The ratio of masses (𝑚 𝑀) is 1 𝑥. Two small balls A and B, each of mass m, are connected by a light rod of length L. (b) The velocities of A and B A 5-kg mass with initial velocity 20 m/s slides along a frictionless horizontal surface then up a frictionless ramp (2 m longhand at an angle 30 degrees to the horizontal) and onto a second horizontal surface. The mass of the bullet is one A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. A particle of mass 'm' travelling along the surface hits at one end of the rod wi A rod of mass M and length L is lying on a horizontal frictionless surface. J m D. Find the maximum angle through which the stick will rise. A rod AB of mass M and length L is lying on a horizontal frictionless surface. Subsequently end A of rod collides with nail P, which is near to A such that end A becomes stationary immediately after impact. (b) The velocities of A and B Feb 14, 2023 · A uniform rod of mass \ ( m \) and length \ ( l \) is placed over a smooth horizontal surface along the \ ( y \)-axis and is at rest as \ ( \mathrm {P} \) shown in figure. Two particles each of mass M, are connected by a rigid rod of negligible mass and length L. A point-like object of mass m is moving to the right with speed v. a). Find: (a) Determine the acceleration of the rod's center of mass G; and (b) Determing the rod's angular acceleration. Find the initial acceleration of end `B`. If the ends and of the rod move with speeds and respectively perpendicular to the rod, find the: a. A rod AB of mass M and length L is kept on a smooth horizontal surface. What is the work done by the rod on the particle till it leaves the rod? (a) 0. The rod is initially at rest. Find the distance AP A rod AB of mass M and length L is lying on a horizontal frictionless surface. The portion AB of the rod is bent to form a quarter of a circle. A horizontal impulse J is given to the rod at a distance 2L/3 from O in a direction perpendicular to the rod. The rod is initially perpendicular to the force. 5 m/s) i . A bullet travelling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its centre and becomes embedded in it. The rod is pivoted about a fixed frictionless axis at one end. Assume that the ball remains in contact A uniform rod of length L rests on a frictionless horizontal surface. A particle of mass ' m ' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. Assuming (a) Determine that the the rod acceleration has mass of m the and rod's length center of L, of mass G; and determine the (a) acceleration of (b) the Determing rod’s A rod AB of mass M and length L is lying on a horizontal frictionless surface. Two particles each of mass M are connected by a massless rod. Find the distance AP (c) Find the Jun 7, 2019 · A rod AB of mass `M` and length L is lying on a horizontal frictionless surface. A particle of mass m moving with speed v0 collides with the stationary rod (shown in figure) at point C, at L 4 distance from the centre of the rod. A bar of mass M = 1. A particle of mass 'm' travelling along the surface hits at one end of the rod with velocity 'u' in a direction perpendicular to the rod. . (a) Find the ratio m/M. A 10N force is applied to the rod at its midpoint at an angle of 37°. A horizontal force of constant magnitude F acts in the rod at a distance of L 4 from the centre. 00 kg and length L = 0. Kinetic energy of the rod (in Joule). The rails are connected together at the bottom as shown, forming a conducting loop with the rod as the top member. A particle of mass m travelling along the surface hits the end ‘A’ of the rod with a velocity v0 in a direction perpendicular to AB. Determine (a) the linear momentum of the system and its angular momentum about its mass center G, (b) the velocities of A and B after the rod A rod of mass ' M ' \& length ' L ' lying on a frictionless horizontal surface is initially given an angular velocity ' ω ' about vertical axis with centre of mass at rest but circular motion is not fixed. Find the distance AP. (a) What is the final Science Physics Physics questions and answers 3) A uniform rod of length L rests on a frictionless horizontal surface.