A block of mass M is tied to one end of massless rope. other end of rope is in hands of a man of mas

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4-1.Newton's Laws of Motion

hard

A block of mass $M$ is tied to one end of massless rope. The other end of rope is in the hands of a man of mass $2M$ as show in figure. Initially the block and the man are resting on a rough plank of mass $2M$ as shown in figure. The whole system is resting on a smooth horizontal surface. The man pulls the rope. Pulley is massless and frictionless. What is the magnitude of displacement of the plank when the block meets the pulley ......... $m $ (Man does not leave his position on the plank during the pull).

A

$0.5$

B

$0.6$

C

$1.5$

D

$2$

Solution

$4m x = m(3 -x)$

$ \Rightarrow x = \frac{3}{5} = 0.6\ m$

Standard 11

Physics

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