Although soldiers are usually required to march together in...

Name: Problem 26, Chapter 13: Holt Physics
Uploaded: 2020-06-19T01:34:26-08:00
Duration: 1 min 58 s
Channel: Nathan Lee
Description: Although soldiers are usually required to march together in step, they must break their march when crossing a bridge. Explain the possible danger of crossing a rickety bridge without taking this precaution.

Although soldiers are usually required to march together in step, they must break their march when crossing a bridge. Explain the possible danger of crossing a rickety bridge without taking this precaution.

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Key Concepts

Resonance

Resonance refers to the phenomenon where a system oscillates with greater amplitude at specific frequencies that match its natural frequency. In the context of a swing, when pushes are applied at regular intervals that match the swing’s natural period, the energy input is maximized, causing the oscillations to build up more efficiently.

Forced Oscillation

Forced oscillation is the process of driving a system by applying an external force at regular time intervals. When this driving frequency is aligned with the system's natural frequency, the external force contributes constructively, leading to larger amplitudes than if the force were applied randomly.

Phase Alignment

Phase alignment is the synchronization of the timing of an external force with the phase of the oscillation. Applying a push at the correct point in the swing's cycle ensures that the force adds energy to the motion in a reinforcing manner, increasing the swing’s amplitude.

Energy Transfer

Efficient energy transfer occurs when the applied force is in sync with the motion of the oscillating system. In a playground swing, well-timed pushes transfer energy into the system at the most opportune moments, thereby increasing the amplitude more effectively than random pushes.

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