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A cord is wound round the circumference ...

A cord is wound round the circumference of a wheel of radius r. The axis of the wheel is horizontal and its moment of inertia about this axis is I. A weight mg is attached to the end of the cord and is allowed to fall from rest. The angular velocity of the wheel, when the weight has fallen through a distance h, is

A

`[(2gh)/(l+mr)]^(1//2)`

B

`[(2mgh)/(I+mr^(2))]^(1//2)`

C

`[(2mgh)/(1+2mr^(2))]^(1//2)`

D

`(2gh)^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is l. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

    A
    `sqrt((2gh)/(I + mr))`
    B
    `sqrt((2mgh)/(I + mr^(2)))`
    C
    `sqrt((2mgh)/(I+ 2mr^(2)))`
    D
    `sqrt(2gh)`

  • A cord is wound around the circumference of wheel of radius r the axis of the wheel is horizontal and moment of inerita about it is / The weight mg is attached to the end of the cord and falls from rest after falling throgh a distance h the angular velocity of the wheel will be

    A
    `[mgh]^(1//2)`
    B
    `[(2mgh)/(I+2mr^(2))]^(1//2)`
    C
    `[(2mgh)/(I+mr^(2))]^(1//2)`
    D
    `[(mgh)/(I+2mr^(2))]^(1//2)`

  • A cord is wound round the circumference of wheel of radius r . The axis of the wheel is horizontal and fixed and moment of inertia about it is I . A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h , the angular velocity of the wheel will be.

    A
    `sqrt((2 gh)/(I + mr))`
    B
    `[(2 mgh)/(I + mr^2)]^(1/(2))`
    C
    `[(2 mgh)/(I +2 m)]^(1/(2))`
    D
    `sqrt(2 gh)`

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