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 :

• A. \( g \)
• B. \( \frac{g}{3} \)
• C. \( \frac{g}{2} \)
• D. \( \frac{g}{4} \)

Answer 1

The Correct Option is B

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:

\[ 4a = 2g \Rightarrow a = \frac{g}{3} \]