P, Q and R are three coplanar forces acting at a point and are in...

P, Q

and

R

are three coplanar forces acting at a point and are in equilibium. Given : (P=1.9318 \mathrm{~kg}) wt (\left[\sin \theta_1=0.9659\right]), the value of

R

(in (\mathrm{kg}) wt) is P, Q and R are three coplanar forces acting at a point and are in equilibium. Given : (P=1.9318 ~kg) wt ([

Options

A0.9659
B2
C1
D $1 / 2$ .

Correct answer

C. 1

Step-by-step solution

Using Lami's theorem, we have

\begin{aligned} & \frac{P}{\sin \theta_1}=\frac{R}{\sin 150^{\circ}} \Rightarrow \frac{P}{\sin \theta_1}=\frac{R}{\sin \left(180^{\circ}-30^{\circ}\right)} \\ & \Rightarrow \frac{1.9318 \mathrm{kgwt}}{0.9659}=\frac{R}{1 / 2} \\ & \Rightarrow R=\frac{1.9318}{0.9659} \times \frac{1}{2} \mathrm{kgwt}=1 \mathrm{kgwt} .\end{aligned}

Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

The magnitude and direction of the acceleration produced in a body of mass 5 kg when two… NEET 2026 A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of… NEET 2026 A car travels on a circular racetrack of radius 50 m, which is banked at an angle θ . If… NEET 2026 There are two inclined surface of equal length (L) and same angle of inclination 45^ ∘… NEET 2025 A uniform rod of mass 20 kg and length 5 m leans against a smooth vertical wall making an… NEET 2025 A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at 30^ ∘… NEET 2024 A bob is whirled in a horizontal circle by means of a string at an initial speed of 10… NEET 2024 A horizontal force 10 N is applied to a block A as shown in figure. The mass of blocks A… NEET 2024 Full Laws of Motion list All AIIMS PYQs