Question

A $20\text{kg}$ floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole, as shown in figure. A cable at an angle of ${30}^{\circ }$ with the beam helps to support the light. The horizontal force exerted on the beam by the pole is

Answer 1

Since the beam is at rest, we can say that $\sum F_x=0$

$\therefore H-T\cos {30}^{\circ }=0$

Substituting the data given in the question,

$H=392\cos \left({30}^{\circ }\right)=339\text{N},\text{to the right}$