A Christmas tree ball hangs from a hook in the ceiling.

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SUMMARY

The discussion focuses on calculating the period of oscillation for a Christmas tree ball hanging from a hook, specifically using the formula T=2π√(L/g). The radius of the ball is 8 cm, but the user initially misapplied the formula by treating the ball as a point mass rather than recognizing it as a physical pendulum. The correct approach involves understanding the dynamics of a physical pendulum, which accounts for the ball's mass distribution and radius.

PREREQUISITES
  • Understanding of pendulum dynamics
  • Familiarity with the formula T=2π√(L/g)
  • Knowledge of physical pendulum concepts
  • Basic grasp of gravitational acceleration (g)
NEXT STEPS
  • Research the dynamics of physical pendulums
  • Learn how to calculate the moment of inertia for non-point masses
  • Explore the effects of mass distribution on oscillation periods
  • Study advanced pendulum motion equations and their applications
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Students studying physics, educators teaching pendulum mechanics, and anyone interested in the principles of oscillatory motion.

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Homework Statement



A Christmas tree ball hangs from a hook in the ceiling. If the radius of the ball is 8 cm, find the period of the ball's oscillation as it swings on the hook.

Homework Equations



T=2pi*√L/g

The Attempt at a Solution



I tried pluggin the number and I'm way off the answer. Am i using the right equation?
 
Physics news on Phys.org
A Christmas ball is not a point mass on the end of a string. The system comprises a Physical Pendulum (look it up).
 
true true i got it! thanks! it was complicated.
 

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