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,

Options

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

Answer

A

Explanation

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