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Q.

A solid sphere of mass 2 kg and radius 1m free to rotate about an axis passing through its centre. A constant tangential force ‘F’ is required to rotate the sphere with 10rad s–1 in 2 s starting from rest. Then the value of F is

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a

8N

b

10 N

c

2 N

d

4 N

answer is B.

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Detailed Solution

We know that ω=ωο+αt

From the given values,

α=102=5 rad/s2

Now the moment of inertia for solid sphere,

I=25MR2=45

Torque,

τ=Iα=rF

F=IαR=45×5=4N

Hence the correct answer is 4N.

 

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