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Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > 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.)

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.)

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))