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. `agt(mg)/(mu)`
B. `agt(g)/(mu)`
C. `age(g)/(mu)`
D. `alt(g)/(mu)`

Answer

C

Explanation

When a cart moves with some acceleration toward right, then a pseudo force `(ma)` acts on block toward left. This force `(ma)` is action force by a block on cart. Now, block will remain static w.r.t. cart, if frictional force `muRgemg`
implies `mumagemg[asR=ma]`
implies `age(g)/(mu)` .