A rod bent at right angle along its centre line, is placed on a rough horizontal fixed cylinder of radius `B` as shown in figure. Mass of rod is `2m` and rod is in equilibrium. Assume that friction force on rod at A and B are equal in magnitude.

Options

A. Normal force applied by the cyinder on the rod at `A` is `3mg//2`.
B. Normal force appplied by the cylinder on rod at `B` must be zero.
C. Friction force acting on rod at `B` is upwards
D. Normal force applied by the cyinder on rod at `A` is `mg`.

Answer

A, C

Explanation

`N_A+f_B=2mg, N_B=f_A`

`mgR-f_AR-f_BR=0`
`mg=f_A+f_B` and given `f_A=f_B`