Question

A hollow sphere of mass 4 m is placed as shown in figure and two point mass m are fixed to it at point P and Q. The position of CM of the system is –

• A. $\left( 0, - \frac{R}{2} \right)$
• B. $\left( 0, - \frac{R}{3} \right)$
• C. $\left( 0, - \frac{2R}{3} \right)$
• D. $\left( 0, - \frac{R}{4} \right)$

Answer 1

Answer: (B)

$\left( 0, - \frac{R}{3} \right)$

Answer 2

X_cm = $\frac{mR - mR}{6m}$ = 0

Y_cm = $\frac{4m \times \left( \frac{- R}{2} \right)}{6m}$ = – R/3