Import Question JSON

$\text{When a pendulum is in a non-inertial frame (accelerating train), it experiences a pseudo force.}$ $\text{Let's analyze the forces on the pendulum bob:}$ $\text{1. Weight } mg \text{ acting downward}$ $\text{2. Tension } T \text{ in the string}$ $\text{3. Pseudo force } ma \text{ acting backward (opposite to train's acceleration)}$ $\text{For the pendulum to be in equilibrium in the inclined position:}$ $\text{The net force must be zero in the train's reference frame.}$ $\text{If the string is inclined towards the front of the train, it means the pendulum bob is displaced backward relative to the train.}$ $\text{This backward displacement occurs due to the pseudo force, which acts opposite to the train's acceleration.}$ $\text{Therefore, the train must be accelerating forward.}$ $\text{If the train were:}$ $\text{- At rest or moving with constant velocity: No pseudo force, pendulum would hang vertically}$ $\text{- Decelerating (retarded motion): Pseudo force would act forward, pendulum would lean backward}$ $\text{Since the string leans forward, the train is accelerating forward.}$