Question:
The tension in the string in the pulley system shown in the figure is
The tension in the string in the pulley system shown in the figure is
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The tension in the string in the pulley system shown in the figure is \includegraphics[width=0.5\linewidth]15phy.png \labelfig:placeholder
Updated On: Apr 15, 2026
- 75 N
- 80 N
- 7.5 N
- 30 N
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The Correct Option is A
Solution and Explanation
Step 1: Equations of Motion
For 10 kg block: $10g - T = 10a$ (Eq. i). For 6 kg block: $T - 6g = 6a$ (Eq. ii).
Step 2: Solving
Adding equations: $4g = 16a \Rightarrow a = g/4 = 2.5 \text{ m/s}^2$. Substitute $a$ in (ii): $T = 6(g + a) = 6(10 + 2.5) = 6 \times 12.5 = 75 \text{ N}$.
Final Answer: (A)
For 10 kg block: $10g - T = 10a$ (Eq. i). For 6 kg block: $T - 6g = 6a$ (Eq. ii).
Step 2: Solving
Adding equations: $4g = 16a \Rightarrow a = g/4 = 2.5 \text{ m/s}^2$. Substitute $a$ in (ii): $T = 6(g + a) = 6(10 + 2.5) = 6 \times 12.5 = 75 \text{ N}$.
Final Answer: (A)
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