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 tension in the cable is

• A. 392.00
• B. 392.0
• C. 392

Answer 1

Answer: (A), (B), (C)

Consider the torques about an axis perpendicular to the page and through the left end of the horizontal beam.


$\sum \tau =(+T\sin {30}^{\circ })d-\left(196\right)d=0$

$\Rightarrow T=392\text{N}$