Question

Two blocks $A$ and $B$ of equal masses are attached to a string passing over a smooth pulley fixed to a wedge as shown in the figure. Find the magnitude of acceleration of center of mass of the two blocks when they are released from rest. Neglect friction.

Answer 1

Net force on the system of two blocks is $mgsin{60}^0-mgsin{30}^0=0.366mg$ down the incline so acceleration of the system(center of mass) will be $0.366mg/2m=0.183g=1.83m/s^2$

we have used $g=10m/s^2$

and the $acceleration$ obtained is in the direction $-{120}^0$ from horizontal.