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

Options

A. a. Normal force applied by cylinder on rod at `A` is `3mg//2`
B. b. Normal force applied by cylinder on rod at `B` must be zero.
C. c. Friction force acting on rod at `B` is upward.
D. d. Normal force applied by cylinder on rod at `A` is mg.

Answer

A, C

Explanation

`N_(A)+f_(B)=2mg`
`N_(B)=f_(A)`
`mgR-f_(A)R-f_(B)R=0`
`mg=f_(A)+f_(B)` and given `f_(A)=f_(B)`