A block of mass m is in contact with the cart C as shown in figure -

The coefficient of static friction between the block and the cart is `mu` , The accelertion `alpha ` of the cart that will prevent the block from failing satisfies -

Options

A. `alpha gt (mg)/(mu)`
B. `alpha gt (g)/(mu m)`
C. `alpha ge (g)/(mu)`
D. `alpha lt (g)/(mu)`

Answer

C

Explanation

Here F= mg and N `m alpha ` but `f le mu N`
`mg le mu m alpha implies alpha ge (g)/(mu)`