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A solid cylinder of mass M and radius R ...

A solid cylinder of mass M and radius R rolls without slipping down on inclined plane of length L and height h what is the speed of its centre of mass when the cylinder reaches its bottom?

A

`sqrt(4/3gh)`

B

`sqrt(4gh)`

C

`sqrt(2gh)`

D

`sqrt(3/4gh)`

Text Solution

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The correct Answer is:
A
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A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h . What is the speed of its center of mass when the cylinder reaches its bottom

Knowledge Check

  • A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. what is the speed of its centre of mass when the cylinder reaches its bottom

    A
    `sqrt((3)/(4)gh)`
    B
    `sqrt((4)/(3)gh)`
    C
    `sqrt(4gh)`
    D
    `sqrt(2gh)`

  • A solid cylinder of mass m and radius r rolls down an inclined plane with height h without slipping. The speed of its centre of mass when it reaches at bottom is

    A
    `sqrt(2gh)`
    B
    `sqrt((4)/(3)gh)`
    C
    `sqrt((3)/(4))gh`
    D
    `sqrt((4g)/(h))`

  • 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

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