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

Answer: (B)

$\frac{g}{3}$

Answer 2

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:

$4a = 2g \Rightarrow a = \frac{g}{3}$