- Sections
- A. General Materials & Mathematics
- B. Statics
- C. Kinematics & Dynamics
- D. Rotational Mechanics
- E. Gravitation & Astronomy
- F. Fluid Mechanics
- G. Vibrations & Mechanical Waves
- H. Sound
- I. Thermodynamics
- J. Electrostatics & Magnetostatics
- K. Electromagnetic Principles
- L. Geometrical Optics
- M. Wave Optics
- N. Spectra & Color
- O. Vision
- P. Modern Physics
Swing Model
Purpose
To model the pumping of a swing using conservation of angular momentum.
Equipment
Variable length pendulum with pulley on stand, as shown.
Images
Description
Start the pendulum mass oscillating with a small amplitude. When the pendulum gets to its lowest position,pull gently down on the rope, shortening the pendulum and thereby increasing its velocity. Release the rope as the pendulum nears its high point. According to a possibly oversimplified analysis, conservation of angular momentum at the low point, before and after the pull is applied, explains why this procedure causes the amplitude of the swing to increase with time. See also discussion of parametric resonance.
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See pagesd1. rotational kinematics & dynamics
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See pagesd2. moment of intertia
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See pagesd3. angular momentum
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See pagesd4. gyroscopes
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See pagesd5. rotational esoterica
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See pagesd1. rotational kinematics & dynamics
-
See pagesd2. moment of intertia
-
See pagesd3. angular momentum
-
See pagesd4. gyroscopes
-
See pagesd5. rotational esoterica