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## -Simple Pendulum -Physical Pendulum - Torsional Pendulum

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**-Simple Pendulum-Physical Pendulum-Torsional Pendulum**AP Physics CMrs. Coyle http://article.wn.com/view/2010/08/22/Crystal_Mountain_will_feature_new_gondola_terrain_park/**The motion of a simple pendulum is very close to a SHM**oscillator, if the angle is <10o The Simple Pendulum**The tangential component of mg is the restoring force**• s=Lsin q • For small values of q, sin q= q • Since αis proportional to q this motion is SHM and let ω2=g/L**q = qmax cos (wt + f)**Angular frequency: Period: Period of the Simple Pendulum**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?**An object that oscillates about a fixed axis (not through**its center of mass) and the object cannot be approximated as a particle. • Torque = Iα • For small angles sinθ=θ Physical Pendulum**Since α is proportional to θ the motion has the form of an**object in simple harmonic motion. • Angular frequency: • Period: Period of the Physical Pendulum**TorsionalPendulum**• Restoring torque t = -kq =Iα k is the torsion constant of the wire**Angular frequency:**• Period: Period of Torsional Pendulum