In the system shown in figure all surfaces are smooth.Rod is moved by external agent with acceleration `9 ms^(-2)` vertically downwards.Force exerted on the rod by the wedge will be

Options

A. `120 N`
B. `200 N`
C. `160 N`
D. `180 N`

Answer

B

Explanation

`tan theta = (9)/(a)`
`:. a = (9)/(tan 37^(@)) = (9 xx 4)/(3) = 12`

also, `N sin 37^(@) = ma`
`:. N = (10 + 12 xx 5)/(3) = 200 N`