Question

the pendulum hanging from the ceiling of a railway carriage makes 30 degree with vertical when it is accelerating the acceleration on the carriage is​

Answer 1

Answer:a=g/3^2

Explanation:

For explanation see the posted picturr

Answer 2

answer : g/√3 m/s²

explanation : a rough diagram is shown in figure. here it is clear that pendulum is acceleration with acceleration, a if train is moving forward.

at equilibrium,

horizontal component of tension = ma

or, Tsinα = ma .....(1)

vertical component of tension = mg

or, Tcosα = mg ......(2)

from equations (1) and (2),

Tsinα/Tcosα = ma/mg

or, tanα = a/g

or, a = gtanα

given, angle made by pendulum with vertical, α = 30°

⇒ a = gtan30° = g/√3

hence, acceleration of pendulum on the carriage is g/√3 m/s²