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Question

Physics Question on System of Particles & Rotational Motion

What will be the position of centre of mass of a half disc of uniform mass density as shown

A

2aπ\frac{2a}{\pi}

B

4a3π\frac{4a}{3\pi}

C

aπ\frac{a}{\pi}

D

2a3π\frac{2a}{3\pi}

Answer

4a3π\frac{4a}{3\pi}

Explanation

Solution

Fact that C.O.M. of hait disk is at distance of 4a3π\frac{4a}{3 \pi} from center.