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System Of Particles And Rotational Motion

Question

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The angular momentum of a rotating body changes from A_o to 4A_o in 4 minutes. The torque acting on the body is:

3/4 A_o

4A_o

3A_o

3/2A_o

Solution

A.

3/4 A_o

Torque is the time rate of total angular momentum of a system of particles.

$Torque T = \frac{dL}{dt} = \frac{(4 A_{o} - A_{o})}{4} = \frac{3 A_{o}}{4}$

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