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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 [...]
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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 [...]
Figure given shows a smooth inclined plane fixed in a car accelerating on horizontal road. The angle of incline θ is related to the acceleration a of the car as a = g tanθ. If the sphere is set in pure rolling on the incline.
29
Sep
Figure given shows a smooth inclined plane fixed in a car accelerating on horizontal road. The angle of incline θ is related to the acceleration a of the car as a = g tanθ. If the sphere is set in pure rolling on the incline. A uniform disc of mass m is fitted (pivoted smoothly) [...]
A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then
29
Sep
A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then September [...]
The steel balls A and B have a mass of 500 g each and are rotating about the vertical axis with an angular velocity of 4 rad/s at a distance of 15 CM from the axis. Collar C is now forced down until the balls are at a distance 5 CM from the axis. How Much work must be done move the collar down?
29
Sep
The steel balls A and B have a mass of 500 g each and are rotating about the vertical axis with an angular velocity of 4 rad/s at a distance of 15 CM from the axis. Collar C is now forced down until the balls are at a distance 5 CM from the axis. How [...]
A uniform disc of mass m is fitted (pivoted smoothly) with a rod of mass m/2. If the bottom of the rod os pulled with a velocity v, it moves without changing its and of orientation and the disc rolls without sliding. Find the kinetic energy of the system (rod + disc)
29
Sep
A uniform disc of mass m is fitted (pivoted smoothly) with a rod of mass m/2. If the bottom of the rod os pulled with a velocity v, it moves without changing its and of orientation and the disc rolls without sliding. Find the kinetic energy of the system (rod + disc) A uniform disc [...]
A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity ω = 2 rad/s about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold
29
Sep
A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity ω = 2 rad/s about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold A rigid body is made of [...]
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A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular velocity when the small body reaches the lowest point of the disk is.
29
Sep
A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular [...]
Tags:
A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes vertical.
29
Sep
A uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes vertical. A uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes [...]