P, Q and R are three coplanar forces actin

Your Ultimate Guide to JEE & NEET Question Solutions

$P, Q$ and $R$ are three coplanar forces acting at a point and are in equilibrium. Given $P = 1.9318 \,kg \,wt$, $\sin {\theta _1} = 0.9659$, the value of $R$ is ( in kg wt)

A

$0.9659$

B

$2$

C

$1$

D

$0.5$

$P, Q$ and $R$ are three coplanar forces acting at a point and are in equilibrium. Given $P = 1.9318 \,kg \,wt$, $\sin {\theta _1} = 0.9659$, the value of $R$ is ( in kg wt)

$\frac{P}{{\sin {\theta _1}}} = \frac{Q}{{\sin {\theta _2}}} = \frac{R}{{\sin \,\,150^\circ }}$

$ \Rightarrow \,\frac{{1.93}}{{\sin {\theta _1}}} = \frac{R}{{\sin \,150^\circ }}$

$ \Rightarrow \,R = \frac{{1.93 \times \sin \,150^\circ }}{{\sin {\theta _1}}} = \frac{{1.93 \times 0.5}}{{0.9659}} = 1$