Question

The distance of centre of mass of a uniform semicircular disc of radius $R$ , from the geometric center on the axis of symmetry is

• A. $\frac{4 R}{3 \pi }$
• B. $\frac{2 R}{3 \pi }$
• C. $\frac{4 R}{9 \pi }$
• D. $\frac{2 R}{\pi }$

Answer 1

Answer: (A)

Centre of mass of a uniform semicircular disc of radius $R$ lies at a distance of $ h = \frac{4 \text{R}}{3 \pi }$ from the centre on the axis of symmetry as shown in figure.