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

Options

A. `6 ms^(-2)`
B. `12 ms^(-2)`
C. `18 ms^(-2)`
D. `27 ms^(-2)`

Answer

D

Explanation

In the frame of block M, m is in rest.

For not falling, `mg lt f_(L)`
`"or "mg lt mu N`
`"or " mg lt mu ma`
`"or "a gt (g)/(mu)`
`therefore " "a_("min")=(g)/(mu)=(9.8)/(0.368)=27m//s^(2)`