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

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

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Solution:

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$\Delta x _{ cm }=0 $
$\Rightarrow M (2- x )=3 M ( x ) 4 x =2$
$\Rightarrow x =\frac{1}{2} m$