Question:

A body of weight 2 kg is suspended as shown in figure. The tension $T₁$ in the horizontal string (in kg-wt) is

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A body of weight 2 kg is suspended as shown in figure. The tension $T1$ in the horizontal string (in kg-wt) is \includegraphics[width=0.5\linewidth]51phy.png \labelfig:placeholder
Updated On: Apr 15, 2026
  • $2/\sqrt{3}$
  • $\sqrt{3}/2$
  • $2\sqrt{3}$
  • 2
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The Correct Option is C

Solution and Explanation

Step 1: Equilibrium Analysis
Let $T$ be the tension in the inclined string. Resolving forces vertically: $T \sin 30^{\circ} = 2 \text{ kg-wt}$.
Step 2: Calculation of Inclined Tension
$T \times (1/2) = 2 \Rightarrow T = 4 \text{ kg-wt}$.
Step 3: Horizontal Tension
The horizontal tension $T_{1}$ must balance the horizontal component of $T$: $T_{1} = T \cos 30^{\circ}$. $T_{1} = 4 \times (\sqrt{3}/2) = 2\sqrt{3} \text{ kg-wt}$.
Final Answer: (C)
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