The minimum acceleration that must be impprted to the cart in the figure so that the block `A` will not fall (given `mu` is the coefficient if friction between the surface of block and cart) is given by:

Options

A. `mug`
B. `g//mu`
C. `(g)/(sqrt(mu))`
D. `(mu)/(g)`

Answer

B

Explanation

The friction force on the block on the block will prevent the block from falling it.
From figure:
`N=ma` and
`F=mg` implies `muma=mg` implies `a=g//mu` .