Question:
All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass 2 kg is :
All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass 2 kg is :
Updated On: Jan 22, 2025
- \( g \)
- \( \frac{g}{3} \)
- \( \frac{g}{2} \)
- \( \frac{g}{4} \)
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The Correct Option is B
Solution and Explanation
Forces and tensions in the system: Apply Newton’s second law.
For the 2 kg block, along the incline:
\[ 2a = g \sin(30^\circ) = \frac{g}{2} \]
For the 4 kg mass:
\[ 4a = 2g \Rightarrow a = \frac{g}{3} \]
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