Question

Four co-planar concurrent forces are acting on a body as shown in the figure to keep it in equilibrium. Then the values of P and $\theta$ are

• A. $P=4N,\theta ={90}^0$
• B. $P=2N,\theta ={90}^0$
• C. $P=1N,\theta ={90}^0$
• D. $P=5N,\theta ={90}^0$

Answer 1

The correct option is B $P=2N,\theta ={90}^0$

Balancing in Y direction.

$\sqrt{3}+pcos\theta -2\times \frac{\sqrt{3}}{2}=0$

$\to pcos\theta =0$

Angle is ${90}^0$

In x direction $1+2\times \frac{1}{2}-p\times 1=0$

$p=2$