Question

Consider three systems, each with three masses, $m_1,m_2,m_3\left(m_1>m_2>m_3\right)$ with centre of mass at point $A,$ as shown in the figure - $1,$ figure - $2$ and figure - $3$ respectively. The same force $\overrightarrow{F}$ is applied on the each system separately to just one of the three masses as shown. Which of the following statements is true.

• A. The magnitude of acceleration of centre of mass of the system is largest in figure - $1$ .
• B. The magnitude of acceleration of centre of mass of the system is largest in figure - $2$ .
• C. The magnitude of acceleration of centre of mass of the system is largest in figure - $3$ .
• D. In all cases, the centre of mass of system has same acceleration.

Answer 1

Answer: (D)

${\overrightarrow{a}}_{CM}=\frac{{\overrightarrow{F}}_{net}}{\Sigma mi}$