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A block of mass M is pulled along a hor...

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m as shown in A horizontal force F is applied to one end to the rope. Find (i) The acceleration of the rope and block The force that the rope exerts on the block (ii) Tension in the rope at its mid point.

Text Solution

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(i) Accelaration `a=(F)/((m+M))`
(ii) Force exerted by rope `T=Ma=(M.F)/((m+M))`
(iii) `T_(1)=((m)/(2)+M)a=((m+2M)/(2))((F)/(m+M))`
Tension in rope at midpiont `T_(1)=((m+2M)F)/(2(m+M))`
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