A block of mass m is in contact with the cart C as shown in the figure. The coefficient of static friction - between the block and the cart is u. The acceleration a of the cart that will prevent the block from falling satisfies

Options

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

Answer

C

Explanation

Pseudo force of fictitious force `F_("fic") = m alpha`
Force of friction `f= mu N = mu m alpha `
the block of mass m will not
` f ge mg `
` mu m alpha ge mg or alpha ge (g)/( mu)`