Question

In the figure shown, the acceleration of wedge is (neglect friction) :

• A. $\frac{F}{M}$
• B. $\frac{F}{m+M}$
• C. $Zero$
• D. $\frac{F}{m}$

Answer 1

The correct option is C $Zero$

Consider the free body diagram of wedge.

Net force on wedge $=0$ (see figure)

At first pulley there is horizontal force $F$ eastward and an inclined force $F$ along the wedge slope downward.

At second pulley force $F$ westward and $F$ along the wedge slope upward hence the forces along wedge cancelling each other and also horizontal forces hence the resultant force on the wedge is zero therefore acceleration is zero.