A ladder rests against a frictionless vertical wall, with its upper end `6 m` above the ground and the lower end `4 m` away from the wall. The weight of the ladder is `500 N` and its `CG` at `1//3^(rd)` distance from the lower end. Wall's reaction will be (in newton)

Options

A. 111
B. 333
C. 222
D. 129

Answer

A

Explanation

The ladder touches the wall at A and th nomal reaction is denoted by R. The whole system is in equilibrium.
Take moments of forces about B.
`Rxx6=500xx(4)/(3)`
or `R=(500xx4)/(6xx3)=(1000)/(9)` or R=111N.