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A solid cylinder of mass m rolls on a ro...

A solid cylinder of mass `m` rolls on a rough surface with velocity `v_(0)`. It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is `mu`. No frictional exists between cylinder and cube. The cylinder collides the, cube at `t = 0`, then.

Percentage of energy of cylinder lost due to collision is:

A

zero

B

`50%`

C

`66.67%`

D

`33.33%`

Text Solution

Verified by Experts

The correct Answer is:
D
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A solid cylinder of mass m rolls on a rough surface with velocity v_(0) . It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is mu . No frictional exists between cylinder and cube. The cylinder collides the, cube at t = 0 , then. Regarding frictional force acting on cylinder we can say that:

A solid cylinder of mass m rolls on a rough surface with velocity v_(0) . It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is mu . No frictional exists between cylinder and cube. The cylinder collides the, cube at t = 0 , then. Time after which the cylinder starts pure rolling again:

Knowledge Check

  • A solid cylinder of mass m rolls on a rough surface with velocity v_(0) . It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is mu . No frictional exists between cylinder and cube. The cylinder collides the, cube at t = 0 , then. Velocity of cube when the cylinder starts pure rolling:

    A
    `(v_(0))/2`
    B
    `(v_(0))/3`
    C
    `(2v_(0))/3`
    D
    `(v_(0))/4`

  • A solid cylinder of mass m rolls on a rough surface with velocity v_(0) . It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is mu . No frictional exists between cylinder and cube. The cylinder collides the, cube at t = 0 , then. Maximum separation between cylinder before it collide the cube again is:

    A
    `(v_(0)(2))/(mug)`
    B
    `(v_(0)^(2))/(4mug)`
    C
    `(v_(0)^(2))/(4mug)`
    D
    zero

  • A solid cylinder of mass m rolls on a rough surface with velocity v_(0) . It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is mu . No frictional exists between cylinder and cube. The cylinder collides the, cube at t = 0 , then. Velocity of cylinder with which it will collide with cube again is:

    A
    `v_(0)`
    B
    `(v_(0))/3`
    C
    `(2v_(0))/3`
    D
    `(v_(0))/4`

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