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Question

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

A

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B

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C

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D

g

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Solution

## The correct option is B Let us consider incline surfaces of wedge as x-axis and y-axis respectively. We can write accelerations of blocks A and B →aA=mg sin 30∘^i and →aB = mg cos 30∘^j The acceleration of center of mass of two blocks can be written as →acm=mA→aA+mB→aBmA+mB=mg sin 30∘^i+mg sin 60∘^jm+m →acm=g sin 30∘^i+g sin 60∘^j2 →acm=g4^i+√3g4^j⇒|→acm|=g2

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