Question
Question: A block of mass M is tied to one end of a massless rope. The other end of the rope is in the hands o...
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 2M 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 of the wedge when the block meets the pulley ?
(Man does not leave his position during the pull)
A
0.5 m
B
1 m
C
Zero
D
2/3 m
Answer
0.5 m
Explanation
Solution
3mx = m (2 – x) ; 3x = 2 – x ; 4x = 2 ; x = 0.5 m