Question

Find the magnitude of acceleration of centre of mass of two blocks as shown in figure. Neglect friction everywhere. (g = 10 ms${}^2$)

• A. 1 ms${}^2$
• B. $\frac{1}{\sqrt{2}}$ ms${}^2$
• C. $\sqrt{2}$ ms${}^2$
• D. zero

Answer 1

Answer: (B)

$\frac{1}{\sqrt{2}}$ ms${}^2$

$a=\frac{mgsin{53}^o-mgsin{37}^o}{2m}=1m{s}^{-2}$

$a_{cm}=\left|\frac{m_{1}bar{a}_1+m_2{\overline{a}}_2}{m_1+m_2}\right|=\frac{a}{\sqrt{2}}=\frac{1}{\sqrt{2}}m{s}^{-2}$