Simple Pendulum and harmonic motion

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SUMMARY

The discussion focuses on solving a simple pendulum problem involving a mass of 0.25 kg and a length of 1.0 m, displaced at an angle of 15 degrees. Key calculations include determining the maximum speed, maximum angular acceleration, and maximum restoring force. The restoring force was calculated as 0.634 N using the equation mgsin(theta). The discussion emphasizes using the simple harmonic motion model and the law of conservation of energy for precise calculations.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Knowledge of basic physics equations related to pendulums
  • Familiarity with the law of conservation of energy
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Study the derivation of maximum speed in simple harmonic motion
  • Explore the calculation of angular acceleration in pendulum motion
  • Research the effects of damping on pendulum motion
  • Learn about the energy conservation approach in oscillatory systems
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Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for practical examples of pendulum dynamics.

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Homework Statement


A sim[le pendulum has a mass of .25kg and a length of 1.0m. It is displaced
through an angle of 15degrees and then released. What are (a) the maximum
speed, (b) the maximum angular acceleration, and (c) the maximum restoring
force? Solve the problem once by using the simple harmonic motion model for
the motion of the pendulum, and then solve the problem more precisely by
using more general principles.


Homework Equations




The Attempt at a Solution


The problem that I am having is getting started. I know this isn't
hard. I got the part (c) for the second on with the restoring force to be
mgsin theta = .634N and it is correct. I know the answer for the simple
models are close to the more precise ones but I can't find any way to
start.
Thanks for any help,
Kevin
 
Physics news on Phys.org
Think of where the bob will reach its maximum speed. You might also want to make use of the law of conservation of energy :wink:
 

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