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Question

Physics Question on Centre of mass

What is the distance of centre of mass of a half ring from centre if the ring has radius = 0.5 m. [XI]

A

1π\frac{1}{\pi}

B

13π\frac{1}{ 3\pi}

C

23π\frac{2}{3\pi}

D

12π\frac{1}{2 \pi}

Answer

1π\frac{1}{\pi}

Explanation

Solution

Distance of center of mass of half ring from center y=2Rπ=2×0.5π=1πy = \frac{2R}{\pi} = \frac{2 \times 0.5}{\pi} = \frac{1}{\pi}