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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Laws of Motion

AIIMS 2016 · Physics · Laws of Motion

A body of mass 60 ~kg is suspended by means of three strings P, Q...

A body of mass 60 kg60 \mathrm{~kg} is suspended by means of three strings P,QP, Q and RR as shown in the figure is in equilibrium. The tension in the string PP is A body of mass 60 ~kg is suspended by means of three strings P, Q and R as shown in the figure is in equilibrium. The

Options

  1. A130.9 g N130.9 \mathrm{~g} \mathrm{~N}
  2. B60gN60 \mathrm{gN}
  3. C50 g N50 \mathrm{~g} \mathrm{~N}
  4. D103.9 g N103.9 \mathrm{~g} \mathrm{~N}

Correct answer

D. 103.9 g N103.9 \mathrm{~g} \mathrm{~N}

Step-by-step solution

A body of mass 60 ~kg is suspended by means of three strings P, Q and R as shown in the figure is in equilibrium. The
Rcos⁡60∘=Q=60 g60 gR \cos 60^{\circ}=Q=60 \mathrm{~g}^{60 \mathrm{~g}}R=60 gcos⁡60∘=120 gP=Rsin⁡60∘=120 g×32=103.9 g N\begin{aligned} & R=\frac{60 \mathrm{~g}}{\cos 60^{\circ}}=120 \mathrm{~g} \\ & P=R \sin 60^{\circ}=120 \mathrm{~g} \times \frac{\sqrt{3}}{2}=103.9 \mathrm{~g} \mathrm{~N}\end{aligned}$$
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