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Video Clips
RealVideo®
8:49 minutes (1:20 - 10:09)
Statement of the law, with derivation of differential equation for mass on a spring.
Prof. Walter Lewin
F=ma (6:52 of V6)
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RealVideo®
5:08 minutes (19:35 - 24:43)
Derivation of differential equation for SHM from conservation of energy in a spring.
Prof. Walter Lewin
Force and Potential Energy (7:00 of V13)
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RealVideo®
8:03 minutes (24:43 - 32:46)
Equation for conservation of energy for object in circular potential well; cosine approximation.
Prof. Walter Lewin
Conservation of Energy (17:00 of V11)
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RealVideo®
7:25 minutes (32:46 - 40:11)
Derivation of differential equation for circular well; proof of simple harmonic oscillation; calculation of T and ω.
Prof. Walter Lewin
Oscillation in Circular Well I (24:43 of V13)
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RealVideo®
6:42 minutes (40:11 - 46:53)
Demonstration of simple harmonic oscillation for shuttle on large-radius air track; calculation of T.
Prof. Walter Lewin
Oscillation in Circular Well II (32:46 of V13)
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RealVideo®
4:36 minutes (46:53 - 51:29)
Demonstration of failure of simple harmonic motion for ball in circular well; calculation of T does not agree with SHM.
Prof. Walter Lewin
Oscillation in Circular Well II (32:46 of V13)
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RealVideo®
2:48 minutes (46:47 - 49:35)
Explanation of longer than expected period for ball rolling on circular track in simple harmonic motion using rotational energy.
Prof. Walter Lewin
Ball in Circular Well (46:53 of V13), Rotational Kinematics (beginning of V19), Simple Harmonic Motion
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RealVideo®
7:19 minutes (20:48 - 28:07)
Proof of SHO and calculation of period for liquid oscillating in U-tube.
Prof. Walter Lewin
Simple Harmonic Motion
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RealVideo®
4:18 minutes (28:07 - 32:25)
Prediction of T for liquid in U-tube; experiment to measure T; error analysis.
Prof. Walter Lewin
Simple Harmonic Oscillation in a U-Tube (20:48 of V30)
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RealVideo®
6:09 minutes (32:25 - 38:34)
Proof of simple harmonic oscillation for torsional pendulum without small-angle; interpretation of equation.
Prof. Walter Lewin
Simple Harmonic Motion
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RealVideo®
11:06 minutes (38:34 - 49:40)
Calculation of T for torsional pendulum; experiment to verify T for large values of θ
Prof. Walter Lewin
Torsional Pendulum Equation (32:25 of V30)
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Lecture Notes
PDF - 1.6 MB
#Page 1 to page 6
Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples.
Prof. Stanley Kowalski
Hooke's Law, Conservation of Energy, Second Derivatives
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PDF - 1.6 MB
#Page 1 to page 18
Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples; table of equations for simple harmonic motion.
Prof. Stanley Kowalski
Hooke's Law, Conservation of Energy, Second Derivatives
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PDF
Page 1 to page 2
Equations for simple harmonic motion; frequency and period of simple harmonic motion; velocity, acceleration, and mechanical energy in simple harmonic motion.
Dr. George Stephans
Springs
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PDF
Page 1 to page 6
Modeling the motion of a simple harmonic oscillator; gravitational field of a spherical shell of matter; gravitational force inside uniform sphere.
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Lecture 16
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Practice Problem
PDF
#Problem 7
Masses m and 3m are connected by spring; finding energy, velocity, period of oscillations.
Prof. Walter Lewin
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Exam Question
PDF
#Problem 2d to problem 2e
2-part SHO problem; calculating vmax and f.
Prof. Walter Lewin
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