Simple Harmonic Motion - Period (T)

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SUMMARY

The discussion focuses on the period (T) of a pendulum in simple harmonic motion. The correct formula for the period is T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. It is established that doubling both the mass of the bob and the length of the pendulum does not affect the period, as the mass does not appear in the equation. The conclusion is that the new period remains T, unaffected by the changes in mass or length.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with the formula T = 2π√(L/g)
  • Basic knowledge of pendulum mechanics
  • Concept of gravitational acceleration (g)
NEXT STEPS
  • Study the effects of mass on simple harmonic motion
  • Explore the relationship between length and period in pendulums
  • Learn about the dynamics of springs using T = 2π√(m/k)
  • Investigate real-world applications of simple harmonic motion in engineering
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Students studying physics, educators teaching mechanics, and anyone interested in the principles of oscillatory motion.

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[SOLVED] Simple Harmonic Motion - Period (T)

1. A pendulum oscillates with a period T.

If both the mass of the bob and the length of the pendulum are doubled, the new period will be _____.




2. T = 2(pi) x rad (k/m)



3. Since L is not a part of the equation, it shouldn't affect the period - right? If that's true, then shouldn't the new period be: T/rad (2) ?

Sorry, I don't know how to insert symbols (i.e. pi and rad).
 
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That equation is for the time period of a spring. The equation for a pendulum is:

[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]
 
Thanks. I just figured that out after 5 mins of Googling. My professor hasn't gone over that yet. I guess that is what Friday's lecture is about...since this HW isn't due unti Sunday. Thanks again!
 

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