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

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Discussion Overview

The discussion revolves around the effects on the time period of a pendulum bob filled with water when a small hole is made, allowing the water to leak out. Participants explore the implications of changing mass and moment of inertia on the pendulum's behavior.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the impact of leaking water on the mass of the bob and its subsequent effect on angular momentum.
  • Another participant suggests that the effective length of the pendulum changes, initially increasing and then decreasing, which they believe affects the time period accordingly.
  • A different viewpoint indicates that the moment of inertia of the pendulum also changes as the water leaks out.
  • There is a mention of a discrepancy between the participants' reasoning and the information provided in a textbook, highlighting differing interpretations of the situation.

Areas of Agreement / Disagreement

Participants express differing views on how the time period of the pendulum is affected by the leaking water, with no consensus reached on the correct interpretation of the effects.

Contextual Notes

Participants have not fully resolved the implications of changing mass and moment of inertia on the pendulum's time period, and there are references to assumptions about effective length that remain unexamined.

Himal kharel
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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?
 
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Well if water is leaking out, what will happen to its mass? Hence what will happen to the final angular momentum?
 
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
 
The moment of inertia changes too.
 

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