The value of angle such that the acceleration of A is g/6 downwards along the incline plane.

Options

A. `theta = 30^(@)`
B. `theta = 60^(@)`
C. `theta = 45^(@)`
D. `theta = 53^(@)`

Answer

A

Explanation

Acceleration `= (2 mg sin 30^(@) - mg sin theta)/(2m + m)`
Given `a = (g)/(6) (g(2 sin 30^(@) - sin theta))/(3) = (g)/(6) implies sin theta = (1)/(2 theta = 30^(@)`