The simple pendulum and its period. Other bodies that oscillate: a liquid in a U-tube, a floating block and a rod swinging about one end. Damped oscillations that die away, and forced oscillations with resonance.
3 lessons, about 1 h 30 min3 simulations12 problems6 practice questionsPython in every lesson
Created by StemPy LabA bob on a light string swings with simple harmonic motion when the angle is small. The pull back is , so . The period does not depend on the mass or on a small amplitude. In a lift or a car, use the gravity the bob feels, .
Any body that is pulled back in proportion to its displacement oscillates with . A liquid column of length in a U-tube has . A floating body with depth under water has . A body swinging about a pivot has .
A damping force makes the amplitude fall as , by the same factor in each equal time; the energy falls as . A periodic force makes a body oscillate at the driving frequency. Its amplitude is largest when the driving frequency equals the natural frequency: resonance. Less damping gives a taller, sharper peak.
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