question_answer

What is the minimum acceleration \[({{a}_{0}})\] of the cart in the given figure so that block \[P\] will not fall? (Assume coefficient of friction as\[\mu \]).

A) \[g/\sqrt{\mu }\]                            

B) \[g/\mu \]

C) \[2\mu g\]                                         

D) \[{{\mu }^{2}}g\]

Correct Answer: B

Solution :

Due to frictional force, the block will be prevented from falling. From figure, we have                 \[N=m{{a}_{0}}\]                                             ... (i)                 \[f=mg=\mu N\]                                              ... (ii) Solving Eqs. (i) and (ii), we get                 \[mg=\mu (m{{a}_{0}})\] \[\Rightarrow \]               \[{{a}_{0}}=g/\mu \]