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A hollow spherical shell has mass 8.25 k g and radius 0.240 m . It is initially

ID: 1392512 • Letter: A

Question

A hollow spherical shell has mass 8.25kg and radius 0.240m . It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.895rad/s2 .
A hollow spherical shell has mass 8.25kg and radius 0.240m . It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.895rad/s2 .
A hollow spherical shell has mass 8.25kg and radius 0.240m . It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.895rad/s2 .
A hollow spherical shell has mass 8.25kg and radius 0.240m . It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.895rad/s2 .
A hollow spherical shell has mass 8.25kg and radius 0.240m . It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.895rad/s2 .

Explanation / Answer

Here ,

acceleration, a = 0.895 rad/s^2

moment of inertia , I = (2/3)*mr^2

I = (2/3)*8.25 * 0.240^2

I = 0.317 Kg.m^2

Now , for the torque applied ,

using second law of motion

T = I*acceleration

T = 0.317 * 0.895

T = 0.284 N.m

the torque acting on the sphere is 0.284 N.m

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