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A solid spherical ball is rolling withou...

A solid spherical ball is rolling without slipping towards a fixed inclined plane with speed `V0`. Find the maximum height, that the ball reached on the incline.

Text Solution

Verified by Experts

The correct Answer is:
`(7V^2)/(10g)`
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Knowledge Check

  • The condition that a rigid body is rolling without slipping on an inclined plane is

    A
    it has acceleration less than g.
    B
    it has rotational and translational K.E. to be equal
    C
    it has linear velocity equal to radius times angular velocity
    D
    the plane is fricitionless.

  • A solid cylinder is rolling without slipping down an inclined plane. Then its angular momentum is :

    A
    Conserved about COM of the cylinder
    B
    Conserved about point of contact
    C
    Conserved about all the points
    D
    Not conserved about any point

  • A solid spherical ball is rolling without slipping down an inclined plane. The fraction of its total kinetic energy associated with rotation is

    A
    `(2)/(5)`
    B
    `(2)/(7)`
    C
    `(3)/(5)`
    D
    `(3)/(7)`

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