Simple Pendulum Homework: Amplitude of 25 cm/s Push

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SUMMARY

The discussion centers on calculating the amplitude of a simple pendulum with a 500 g bob and a 75 cm massless rod, given an initial push of 25 cm/s. The amplitude can be determined using the principles of simple harmonic motion, specifically the relationship between velocity and amplitude. The neglect of damping simplifies the calculations, allowing for a direct application of energy conservation principles to find the maximum displacement in degrees.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Knowledge of energy conservation principles
  • Familiarity with pendulum mechanics
  • Basic trigonometry for converting amplitude to degrees
NEXT STEPS
  • Study the equations of motion for simple harmonic oscillators
  • Learn how to apply energy conservation in pendulum systems
  • Explore the effects of damping on pendulum motion
  • Investigate the relationship between velocity and amplitude in oscillatory systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for examples of pendulum behavior in simple harmonic motion.

trusean
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Homework Statement


A pendulum consists of a 500 g bob at the end of a massless 75 cm rod.
(a) While it is hanging vertically down, the bob is given a push that starts it moving at 25
cm/s. What is the amplitude of the resulting oscillation in degrees? You may neglect
damping.



Homework Equations





The Attempt at a Solution

 
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trusean said:

Homework Statement


A pendulum consists of a 500 g bob at the end of a massless 75 cm rod.
(a) While it is hanging vertically down, the bob is given a push that starts it moving at 25
cm/s. What is the amplitude of the resulting oscillation in degrees? You may neglect
damping.



Homework Equations





The Attempt at a Solution


Okays, first off an attempt is at least required before we can help you, and most importantly without the attempt we can see what you're doing wrong, or what you may have misunderstood.
 

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