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Question

# Two blocks A and B each of equal mass m are released from the top of a smooth fixed wedge as shown in figure. Find the magnitude of acceleration of COM of the two blocks.

A
2g
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B
g
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C
2g3
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D
g2
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Solution

## The correct option is D g2Let us consider the inclined surfaces of the wedge as x-axis and y-axis respectively as shown in the figure below :- Therefore, we can write acceleration of block A and B as : →aA=mgsin30∘^i [x- axis direction] →aB=mgsin60∘^j [y- axis direction] Acceleration of COM →aCOM=mA→aA+mB→aBmA+mB →aCOM=mgsin30∘^i+mgsin60∘^jm+m →aCOM=g4i+√3g4j ⇒|→aCOM|=g/2

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