-Simple Pendulum -Physical Pendulum -Torsional Pendulum - PowerPoint PPT Presentation

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-Simple Pendulum -Physical Pendulum -Torsional Pendulum

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The Simple Pendulum The motion of a simple pendulum is very close ... Since is proportional to the motion has the form of an object in simple harmonic motion. – PowerPoint PPT presentation

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Title: -Simple Pendulum -Physical Pendulum -Torsional Pendulum


1
-Simple Pendulum-Physical Pendulum-Torsional
Pendulum
  • AP Physics CMrs. Coyle

http//article.wn.com/view/2010/08/22/Crystal_Moun
tain_will_feature_new_gondola_terrain_park/
2
The Simple Pendulum
  • The motion of a simple pendulum is very close to
    a SHM oscillator, if the angle is lt10o

3
  • The tangential component of mg is the restoring
    force
  • sLsin q
  • For small values of q, sin q q
  • Since a is proportional to q this motion is SHM
    and let ?2g/L

4
Period of the Simple Pendulum
  • q qmax cos (wt f)
  • Angular frequency
  • Period

5
  • Question If a pendulum was taken to a planet
    where the acceleration due to gravity was four
    times that of g on the earth, how would the
    period change?

6
Physical Pendulum
  • An object that oscillates about a fixed axis (not
    through its center of mass) and the object cannot
    be approximated as a particle.
  • Torque Ia
  • For small angles sin??

7
Period of the Physical Pendulum
  • Since a is proportional to ? the motion has the
    form of an object in simple harmonic motion.
  • Angular frequency
  • Period

8
Torsional Pendulum
  • Restoring torque
  • t -kq Ia
  • k is the torsion constant of the wire

9
Period of Torsional Pendulum
  • Angular frequency
  • Period
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