Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
A wheel rolling along a rough horizontal surface with an angular velocity ω strikes a rough vertical wall, normally. Find the initial angular velocity, as it tends to roll up the wall (neglect any slippage) due to impulse.
29
Sep
A wheel rolling along a rough horizontal surface with an angular velocity ω strikes a rough vertical wall, normally. Find the initial angular velocity, as it tends to roll up the wall (neglect any slippage) due to impulse. A wheel rolling along a rough horizontal surface with an angular velocity ω strikes a rough vertical [...]
Two bodies with moments of inertia I 1 and I 2 (I 1>I 2 ) have equal angular momenta. If their kinetic energies of rotation are E1 and E 2 respectively, then
29
Sep
Two bodies with moments of inertia I 1 and I 2 (I 1>I 2 ) have equal angular momenta. If their kinetic energies of rotation are E1 and E 2 respectively, then then Two bodies with moments of inertia I 1 and I 2 (I 1>I 2 ) have equal angular momenta. If their kinetic [...]
A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by a cue. Where should it be hit so that the shell does not slip on the surface?
29
Sep
A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by a cue. Where should it be hit so that the shell does not slip on the surface? A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by [...]
A thin uniform rod of length l is initially at rest with respect to an inertial frame of reference. The rod is tapped at one end perpendicular to its length. How far the centre of mass translates while the rod completes one revolution about its centre of mass. Neglect gravitational effect.
29
Sep
A thin uniform rod of length l is initially at rest with respect to an inertial frame of reference. The rod is tapped at one end perpendicular to its length. How far the centre of mass translates while the rod completes one revolution about its centre of mass. Neglect gravitational effect. A sphere rolling on [...]
A stick of length L and mass M lies on a frictionless horizontal table on which it is free to move in any way A small particle of mass m moving on the table and perpendicular to the rod collides elastically with the stick with speed v.What must be the mass m in term of M.L and d of the particle so that it is at rest immediately after the collision.
29
Sep
A stick of length L and mass M lies on a frictionless horizontal table on which it is free to move in any way A small particle of mass m moving on the table and perpendicular to the rod collides elastically with the stick with speed v.What must be the mass m in term of [...]
A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface. A bullet, also a mass m and moving with velocity v, strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R. The angular velocity with which the system rotates after the bullet strikes the hoop is:
29
Sep
A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface. A bullet, also a mass m and moving with velocity v, strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R. The angular velocity with which the system rotates after the [...]
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A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface. A bullet ,
also a mass m and moving with velocity v ,
strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R. The angular velocity with which the system rotates after the bullet strikes the hoop is: ,
A uniform bar of length 6 a and mass 8 m lies on a smooth horizontal table. Two point masses m and 2 m moving in the same horizontal plane with speed 2 v and v, respectively, strike the bar [as shown in the fig.] and stick to the bar after collision. Calculate
29
Sep
A uniform bar of length 6 a and mass 8 m lies on a smooth horizontal table. Two point masses m and 2 m moving in the same horizontal plane with speed 2 v and v, respectively, strike the bar [as shown in the fig.] and stick to the bar after collision. Calculate A uniform [...]
A rod AB of mass M and length 8l lies on a smooth horizontal surface. A particle, of mass ′ m ′ and velocity v 0 , strikes the rod perpendicular to its length, as shown in Figure. As a result of the collision, the centre of mass of the rod attains a speed of v 0/8 and the particle rebounds back with a speed of v 0 /4. Find the following:
29
Sep
A rod AB of mass M and length 8l lies on a smooth horizontal surface. A particle, of mass ′ m ′ and velocity v 0 , strikes the rod perpendicular to its length, as shown in Figure. As a result of the collision, the centre of mass of the rod attains a speed [...]
Tags:
A rod AB of mass M and length 8l lies on a smooth horizontal surface. A particle ,
as shown in Figure. As a result of the collision ,
of mass ′ m ′ and velocity v 0 ,
strikes the rod perpendicular to its length ,
the centre of mass of the rod attains a speed of v 0/8 and the particle rebounds back with a speed of v 0 /4. Find the following: ,
A sphere rolling on a horizontal rough surface Collides elastically with a smooth vertical wall, as shown in Fig. State which of the following statements is true or false. centre of mass gets reversed. b. Angular momentum of the sphere about the point of contact with the wall is conserved. c. Angular momentum of the sphere about a stationary point on the horizontal surface is conserved. d. Just after collision the point of contact with the horizontal surface is moving towards the wall. e. After collision the friction force acts on the sphere such that it decreases the linear speed and increases the angular speed. f. Finally, when the sphere starts rolling, it is moving away from the wall.
29
Sep
A sphere rolling on a horizontal rough surface Collides elastically with a smooth vertical wall, as shown in Fig. State which of the following statements is true or false. centre of mass gets reversed. b. Angular momentum of the sphere about the point of contact with the wall is conserved. c. Angular momentum of the [...]
A sphere is moving on a smooth surface with linear speed v0 and angular velocity ω0. It finds a rough inclined surface and it starts climbing up:
29
Sep
A sphere is moving on a smooth surface with linear speed v0 and angular velocity ω0. It finds a rough inclined surface and it starts climbing up: A sphere is moving on a smooth surface with linear speed v0 and angular velocity ω0. It finds a rough inclined surface and it starts climbing up: September [...]