Question

In Fig. , find the acceleration of m assuming that there is friction between m and M, and all other surface are smooth and pulleys light and $\mu$ = coefficient of friction between m and M.

• A. $\frac{3\sqrt{5}mg}{m+5m+2\mu m}$
• B. $\frac{2\sqrt{6}mg}{m+5m+2\mu m}$
• C. $\frac{12\sqrt{5}mg}{m+5m+2\mu m}$
• D. $\frac{mg\left(1-\mu \right)}{M+m}$

Answer 1

The correct option is D $\frac{mg\left(1-\mu \right)}{M+m}$

$\begin{array}{c}ma=mg-T=f=mg-T-\mu mg\\ ma+Ma=mg-\mu mg\\ \left(a=\frac{mg\left(1-\mu \right)}{M+m}\right)\\ Hence,\\ optionDiscorrectanswer.\end{array}$