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A cylinder rolls without slipping down a...

A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is

A

2

B

3

C

5

D

1

Text Solution

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The correct Answer is:
A
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A uniform sphere of mass m and radius R starts rolling without slipping down an inclined plane. Find the time dependence of the angular momentum of the sphere relative to the point of contact at the initial moment. The angle of inclination of the plane is theta . How will the result be affected in the case of a perfectly smooth inclined plane 2/x (mgsintheta) Rt where 'x' is

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Knowledge Check

  • A solid sphere rolls without slipping on an inclined plane, then which of the following are correct ?

    A
    Torque of friction about point of contact is zero
    B
    Torque of weight about point of contact is zero
    C
    Torque of normal reaction about centre of the sphere is zero
    D
    Angular momentum about point of contact is conserved

  • A solid sphere rolls without slipping on an inclined plane, then which of the following is/are correct ?

    A
    Torque of friction about point of contact is zero
    B
    Torque of weight about point of contact is zero
    C
    Torque of normal reaction about centre of the sphere is zero
    D
    Angular momentum about point of contact is conserved

  • A solid cylinder of mass 'm' rolls without slipping down an inclined plane making an angle theta with the horizontal. The frictional force between the cylinder and the incline is

    A
    `"mg sin"theta`
    B
    `("mg sin"theta)/(3)`
    C
    `"mg cos"theta`
    D
    `("2mg sin "theta)/(3)`

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    A sphere rolls without slipping on an incline of inclination theta . The minimum coefficient of static friction to support pure rolling is to be

    A sphere rolls without slipping on an incline of inclination theta . The minimum coefficient of static friction to support pure rolling is to be

    A sphere rolls without slipping on an incline of inclination theta . The minimum coefficient of static friciton to support pure rolling is to be

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