Question

A mass M is suspended by a rope from a rigid support at P as shown in the figure. Another rope is tied at the end Q, and it is pulled horizontally with a force F. If the rope PQ makes angle θ with the vertical then the tension in the string PQ is

• A. $F\sin\theta$
• B. $F/\sin\theta$
• C. $F\cos\theta$
• D. $F/\cos\theta$

Answer 1

Answer: (B)

$F/\sin\theta$

Answer 2

From the figure

For horizontal equilibrium

$T\sin\theta = F$

$\therefore$ $T = \frac{F}{\sin\theta}$