What happens to the time period of a pendulum bob filled with water?

[Himal kharel]

A bob of a pendulum has water filled in it. if a small hole is made on it the water continuously leaks . what happens to the time period then?

 

[rock.freak667]

Well if water is leaking out, what will happen to its mass? Hence what will happen to the final angular momentum?

 

[Himal kharel]

i think that the effective length(length from point of suspension to the CG of bob) first increases and then decrease . thus the time period should first increase and then decrease to initial value.

But in my book its given the just opposite

 

[nasu]

The moment of inertia changes too.

 

[PJC01]

The time period of a pendulum bob filled with water will decrease as the water leaks out through the small hole. This is because the addition of the water increases the mass of the bob, making it harder for the pendulum to swing back and forth. As the water leaks out, the mass decreases and the pendulum can swing more easily, resulting in a shorter time period. This effect can be observed in real life with a simple pendulum experiment, where adding or removing weight from the bob will affect the time period of the pendulum. Additionally, the viscosity of the water may also play a role in the time period, as it can create resistance and affect the pendulum's motion. Overall, the time period of a pendulum bob filled with water will decrease as the water leaks out, but the exact change will depend on the amount of water and the properties of the liquid.