question_answer

The coefficient of static friction between the two blocks is 0.363, what is the minimum acceleration of block 1 so that block 2 does not fall?         

A) \[~6\text{ }m{{s}^{-2}}\]               

B) \[~12\text{ }m{{s}^{-2}}\]            

C)   \[~~18\text{ }m{{s}^{-2}}\]             

D)               \[~27\text{ }m{{s}^{-2}}\]

Correct Answer: D

Solution :

In the frame of block M, m is in rest N = ma For not falling, \[mg<{{f}_{L}}\] or \[mg<\mu N\] or \[mg<\mu ma\] or \[mg<\mu ma\] or \[a>\frac{g}{\mu }\] \[\therefore \]    \[{{a}_{\min }}=\frac{g}{\mu }=\frac{9.8}{0.363}=27\,m/{{s}^{2}}\] Hence, the correction option is [d].