A simple pendulum is kept in train. If the train starts to accelerate, the time period of pendulum ?
time period become infinite. the mass tend to move in backward direction and satyed there due to conservation of momentum.
The time period of a simple pendulum is the time it takes for one complete oscillation, which is the time it takes to swing back and forth from one extreme to another and back. The time period of a simple pendulum is given by the formula:
T = 2π√(L/g)
where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.
Now, if the train starts to accelerate, an additional force is acting on the pendulum due to the acceleration of the train. This force can affect the time period of the pendulum.
To understand how the time period changes, we need to consider two cases:
1. Acceleration along the direction of the pendulum:
If the train accelerates along the direction of the pendulum, the effective force acting on the pendulum will increase, leading to a decrease in the time period of the pendulum. This is because the additional force due to acceleration adds to the force of gravity, making the effective acceleration greater than 'g'.
2. Acceleration opposite to the direction of the pendulum:
If the train accelerates in the opposite direction to the pendulum, the effective force acting on the pendulum will decrease, leading to an increase in the time period of the pendulum. This is because the additional force due to acceleration subtracts from the force of gravity, making the effective acceleration less than 'g'.
Therefore, the time period of the pendulum will depend on the direction of acceleration of the train.