Question

A pendulum of mass m is suspended from the ceiling of a train moving with an acceleration a. Find the angle in equilibrium position. Also calculate tension in the string

Answer 1

Answer:

just think vectors in terms of components......it will become more obvious

Answer 2

Given :-

Mass of pendulum = m.

Acceleration = a.

From Inertial Frame of Reference.

T CosØ = mg ------(1)

T SinØ = ma -------(2)

Dividing (2)/(1).

T SinØ = ma

___________

T CosØ = mg

TanØ = a/g

Ø = Tan-¹(a/g)

Hence,

Angle to keep in equilibrium = Ø = Tan-¹(a/g).