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 (in$$ $$m/s2). Take g $$=$$ $$10$$ $$m/s2$$

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Infinity Learn · Accepted Answer

Let us consider incline surfaces of wedge as $$x-axis$$ and $$y-axis$$ respectively. We can write accelerations of blocks A and B.a→$$A=g$$ $$sin$$ $$30$$ $$i^$$  and  a→$$B=g$$ $$sin$$ $$60$$∘ $$j^The$$ acceleration of centre of mass of two blocks can be written asa→$$cm=mAa$$→$$A+mBa$$→$$BmA+mB=mg$$ $$sin$$ $$30$$∘$$i^+mg$$ $$sin$$ $$60$$∘$$j^m+m=g$$ $$sin$$ $$30$$∘$$i^+g$$ $$sin$$ $$60$$∘$$j^2=g4i^+3g4j^$$ ⇒a→$$cm=g2=5$$ $$m/s2$$

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