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° and 2m hangs vertically. If the system is released, the blocks move with an acceleration equal to :

Options

A. g / 4
B. g/3
C. g/2
D. g

Answer

C

Explanation

`a = (2mg - mg sin 30^(@))/(3m) = ( 3)/(2) g xx (1)/(3)`
`a= (g)/(2) m//s^(2)`