Question

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

• A. Horizontal component is $500N$ towards left and vertical component $75N$ downwards
• B. Horizontal component is $500N$ towards right and vertical component $75N$ upwards
• C. Horizontal component is $625N$ towards left and vertical component $150N$ upwards
• D. Horizontal component is $625N$ towards right and vertical component $150N$ downwards

Answer 1

The correct option is B Horizontal component is $500N$ towards right and vertical component $75N$ upwards

For horizontal equilibrium $F_x=T\sin \theta =625\times \frac{4}{5}=500N$ (towards right can see in fig.)

For vertical equilibrium $F_y+T\cos \theta =(150+300)N{F}_y+625\left(\frac{3}{5}\right)=450F_y=450-375=75N$ (upwards, can see in fig.)