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In the system shown in figure all surfac...

In the system shown in figure all surface 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

A

`120 N`

B

`200 N`

C

`160 N`

D

`180 N`

Text Solution

Verified by Experts

The correct Answer is:
B
`(9)/(a) = tan 37^(@) = (3)/(4)`
`:. a = 12 m//s^(2)`
Let `N =` normal reation between rod and wedge.Then `N sin 37^(@)` will provide the necessary `ma` force to the wedge
`:. N sin 37^(@) = ma = (10) (12) = 120`
`N = (120)/(sin 37^(@)) = (120)/(0.6)`
`= 200 N`
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