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The horizontal beam in figure weighs 150...

The horizontal beam in figure weighs `150 N`, and its centre of gravity is at its centre. Find

The horizontal and vertical components of the force exerted on the beam at the wall,

A

Horizontal component is `500 N` towards left and vertical component `75 N` downwards

B

Horizontal component is `500 N` towards right and vertical component `75 N` upwards

C

Horizontal component is `625 N` towards left and vertical component `150 N` upwards

D

Horizontal component is `625 N` towards right and vertical component `150 N` downwards

Text Solution

Verified by Experts

The correct Answer is:
A
Taking torques about the pivot p

`(4m)(3//5)T=(4m)(300N)+(2m)(150N)`
so `T=625N`
b. The horizontal force must balance the horizontal component of the force exerted by the rope, or `T(4//5)=500N`
The vertical is `300N+150N-T(3//5)=75N`
upwards
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