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A force of 100N need to be applied paral...

A force of `100N` need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is plane is `30^(@)` . How much horizontal force need to be applied to do the same?

A

`50N`

B

`87N`

C

`100N`

D

`115N`

Text Solution

Verified by Experts

The correct Answer is:
D
Given that `mgsintheta=100N` . If horizontal force required be `F` , then component of `F` will balance the weight i.e., `Fcostheta=100`
or `F=(100)/(costheta)=(100)/(cos30^(@)=115N`
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