Pendulum with Water-Filled Sphere: Does it Change the Period?

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SUMMARY

The discussion centers on a simple pendulum consisting of a hollow sphere with a radius of 0.20m attached to a 0.80m long string, filled with water. It concludes that the drainage of water from the sphere does not affect the period of the pendulum, as the period is independent of mass for simple pendulums. The period is determined solely by the length of the string, confirming that mass variations, such as the draining water, do not influence the oscillation period.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Knowledge of pendulum mechanics
  • Familiarity with the formula for the period of a pendulum
  • Basic principles of mass and gravitational effects
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  • Study the formula for the period of a simple pendulum: T = 2π√(L/g)
  • Explore the effects of mass on oscillatory motion in different systems
  • Investigate the concept of damping in pendulum motion
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Physicsisfun2005
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A hollow spere, radius 0.20m is attached to the end of a 0.80m long string, hung vertically and used as a simple pendulum.


The sphere is filled with water. Suppose there is a small hole in the bottom of the sphere. As the filled sphere swings back and forth, water slowly drains.

Question: If this has no effect on the period explain why. If it does affect the period describe how the period changes and why.
 
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How does the period of a simple pendulum depend on its mass?
 
thats what i thought. I know that mass doesn't effect the period...i thought that the drainage might affect the motion.
 

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