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A solid sphere of mass M and radius R is...

A solid sphere of mass `M` and radius `R` is pulled horizontally on a rough surface as shown in Fig. Choose the incorrect alternatives.

A

The magnitude of the frictional force is `F/3`.

B

The frictional force on the sphere acts forward.

C

The acceleration of the centre of mass is `(2F)/(3M)`

D

The acceleration of the centre of mass is `F/M`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Acceleration of centre of mass,
`a_(C) = F/M = 1/(1+ K^(2)/R^(2)) = (5F)/(7M) (therefore K=sqrt(2/5) R)`

Frictional forces `f=F[1/(1+R^(2)/K^(2))] = (2F)/7`
Since, f+ve, friction is directed backward, Option (a), (b), ( c) and (d) are incorrect.
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