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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.

Answer

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A cord of negligible mass is wound round the rim of a fly wheel of mass 4 kg and radius 10 cm. A steady pull of 50 N is applied on the cord. The flywheel is mounted on a horizontal axis with frictionless bearings. (a) Compute the angular acceleration of the wheel. (b) Find the work done by the pull, when 1.5m of the cord is unwound. (c ) Find also the kinetic energy of the wheel at this point. Assume that the wheel starts from rest. (d) Compare answers to parts (b) and (c ).

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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