L4_11.pptx - Topics for Today Pendulum(15-4 Torsion...

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Topics for Today Pendulum (15-4) Torsion pendulum (15-3)
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A pendulum is a mass on one end of a string with the other end fixed in place. If you start the mass swinging, it will swing back and forth, much like a mass on a spring will oscillate back and forth. This is another example of simple harmonic motion. Pendulum
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Forces on mass are: Gravity – pulling down Tension – pulling towards fixed point If you analyze the motion in terms of linear variables, it is a 2D problem. Better to do in terms of angular variables. = angle of mass w.r.t. vertical I = moment of inertia = = torque = ? Find torque for tension and gravity Force Diagram
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= torque = Tension is parallel to , produces no torque Angle between gravity and is , so But what about sign? For , use right hand rule and torque points into the board, which is opposite angular momentum for increasing. So Force Diagram
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Approximate around 0 as a line.
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