Question
A pendulum is made of a vessel filled with water suspended from a string. The water gradually flows out from a hole at the bottom of the vessel. How will the period of pendulum change as the liquid flows out?
Solution
Time period of simple pendulum is,
where,
is the distance of CM of bob from point of suspension.
As the water flows out, T first increases to a maximum and then starts decreasing.
When the whole of the water flows out, time period first increases. Then, having a maximum value T starts decreasing and finally has the same time period as initial.
where,
is the distance of CM of bob from point of suspension. As the water flows out, T first increases to a maximum and then starts decreasing.
When the whole of the water flows out, time period first increases. Then, having a maximum value T starts decreasing and finally has the same time period as initial.
