JEE Main Physics question

PhysicsLaws of MotionJEE Main

A plumb bob is hung from the ceiling of a train compartment. The train moves on an inclined track of inclination 30° with the horizontal. Acceleration of the train up the plane is a = g/2. The angle which the string supporting the bob makes with the normal to the ceiling, in equilibrium, is

Answer: (B)

Solution

In the train's frame, the bob experiences gravity g (down) and a pseudo-force a (down the incline, opposing the train's upward acceleration). Resolving along and perpendicular to the incline: component along the incline

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Question ID VK-153035