Statement of the law, with derivation of differential equation for mass on a spring.

Derivation of differential equation for SHM from conservation of energy in a spring.

Equation for conservation of energy for object in circular potential well; cosine approximation.

Derivation of differential equation for circular well; proof of simple harmonic oscillation; calculation of T and ω.

Demonstration of simple harmonic oscillation for shuttle on large-radius air track; calculation of T.

Demonstration of failure of simple harmonic motion for ball in circular well; calculation of T does not agree with SHM.

Explanation of longer than expected period for ball rolling on circular track in simple harmonic motion using rotational energy.

Proof of SHO and calculation of period for liquid oscillating in U-tube.

Prediction of T for liquid in U-tube; experiment to measure T; error analysis.

Proof of simple harmonic oscillation for torsional pendulum without small-angle; interpretation of equation.

Calculation of T for torsional pendulum; experiment to verify T for large values of θ

Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples.

Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples; table of equations for simple harmonic motion.

Equations for simple harmonic motion; frequency and period of simple harmonic motion; velocity, acceleration, and mechanical energy in simple harmonic motion.

Modeling the motion of a simple harmonic oscillator; gravitational field of a spherical shell of matter; gravitational force inside uniform sphere.

Masses m and 3m are connected by spring; finding energy, velocity, period of oscillations.

Solution (PDF)^#

2-part SHO problem; calculating v_max and f.

Solution (PDF)