Q.
Two blocks of masses$\ m$ and $2m$ are connected by a light string passing over a frictionless pulley. As shown in the figure, the mass $m$ is placed on a smooth inclined plane of inclination $30{^\circ}$ and $2m$ hangs vertically. If the system is released, the blocks move with an acceleration equal to
A) $g/4$
B) $g/3$
C) $g/2$
D) $g$
Explanation
(c) [image:5_image268.png]
$2mg - T = 2ma$ …(i)
$T - mg\sin{30{^\circ}} = ma$ …(ii)
(i) + (ii) gives,
$2mg - \frac{mg}{2} = 3ma \Rightarrow a = \frac{g}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.