simple_harmonic_motion - Department of Physics and...

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Jun 1, 2002 Physics Problem Solving 03: Newton’s Laws Page 1 of 11 Department of Physics and Astronomy The University of Western Ontario First Year Physics Courses Simple Harmonic Motion Problems Pictorial Model Sketch. Frame of reference. Physical Model Identify Forces. Free Body Diagrams. Mathematical Model Apply 3 F = ma. Apply the simple harmonic motion equations Solve the equations. Draw the graphs of x, v and a versus time.
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Jun 1, 2002 Physics Problem Solving 03: Newton’s Laws Page 2 of 11 Summary of SHM Equations Some books use x = cos T t Others use x = sin T t Position x = x m cos ( T t + N ) x = x m sin ( T t + N ) Velocity v = ! x m T sin ( T t + N ) v = x m T cos ( T t + N ) Acceleration a = ! x m T 2 cos ( T t + N ) = ! T 2 x a = ! x m T 2 sin ( T t + N ) = ! T 2 x Frequency f Angular frequency T = 2 B f Period T = 1/f = 2 B / T Energy ½ mv 2 + ½ kx 2 is constant Systems Mass and a spring Simple Pendulum Physical Pendulum Torsional Pendulum
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Jun 1, 2002 Physics Problem Solving 03: Newton’s Laws Page 3 of 11 Example 1 Find: v; a; f; T; initial phase. Sketch the graphs of x, v and a versus t. Solution.
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simple_harmonic_motion - Department of Physics and...

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