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A solid cylinder rolls up an inclined pl...

A solid cylinder rolls up an inclined plane of angle of inclination `30^(@)` . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 `"m.s"^(-1)` .
The distance up to which the cylinder goes up the plane is

A

4 m

B

3.8 m

C

3.6 m

D

3 m

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A solid cylinder rolls up an inclined plane of angle of inclination 30^(@) . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 "m.s"^(-1) . Time taken for the cylinder to return to the bottom is

    A
    3.5 s
    B
    3.7 s
    C
    3.0 s
    D
    3.8 s

  • A solid sphere rolls down two different inclined planes of same height but of different inclinations in both cases

    A
    tye speed and time of descend will same
    B
    the speed will be same but time of descent will be different
    C
    the speed will be different but time of descent will be same
    D
    speed and time of descent both are different

  • A uniform solid sphere is released from the top of a fixed inclined plane of inclination 30^(@) and height h. It rolls without sliding. The acceleration of the centre of the sphere is

    A
    `(3g)/(5)`
    B
    `(4g)/(5)`
    C
    `(4g)/(7)`
    D
    `(3g)/(7)`

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