find in which direction will the frictional force act? Also find in this case the rate of increase of length ‘ab’ of the thread at time t after the application of force. (No slipping occurs.)

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A spool of thread of mass m and moment of inertia I is attached to the block of mass M. Along a horizontal line passing through the centre of the spool, a constant force F is applied as shown. The surface under the block is smooth while beneath the spool is rough. Show that if M=(I)/(r(R-r)), no frictional force will act on the spool. Now suppose M=(2I)/(r(R-r)), find in which direction will the frictional force act? Also find in this case the rate of increase of length ‘ab’ of the thread at time t after the application of force. (No slipping occurs.)
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A spool of thread of mass m and moment of inertia I is attached to the block of mass M. Along a horizontal line passing through the centre of the spool, a constant force F is applied as shown. The surface under the block is smooth while beneath the spool is rough. Show that if [...]
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Tags: a constant force F is applied as shown. The surface under the block is smooth while beneath the spool is rough. Show that if M=(I)/(r(R-r)) , A spool of thread of mass m and moment of inertia I is attached to the block of mass M. Along a horizontal line passing through the centre of the spool , find in which direction will the frictional force act? Also find in this case the rate of increase of length 'ab' of the thread at time t after the application of force. (No slipping occurs.) , no frictional force will act on the spool. Now suppose M=(2I)/(r(R-r)) ,