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A rope of negligible mass is wound round...

A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

Text Solution

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`25 s^(-2), 10 m s^(-2)`
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Knowledge Check

  • What is the acceleration produced in a body of mass 0.5 kg if a constant force of 2 N acts on it?

    A
    `1 ms^(-2)`
    B
    `0.25 ms^(-2)`
    C
    `2.5 ma^(-2)`
    D
    `4 ms^(-2)`

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

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