What is the total distance traveled by an object moving back and forth in Simple harmonic motion in a time interval equal to its period when its amplitude is equal to A?
I have no clue where to start, help!
P.S. Here is another question I am stumped on, How is the period of a simple harmonic vibration related to its frequency?An object moving back and forth in simple harmonic motion in a time interval equal to its period?First Question:
Consider the mass on a spring, beginning at rest at x=A.
As the spring restores the mass, it travels a distance A.
As the mass travels further due to its inertia, straining the spring again, it travels a distance A.
As the spring restores the mass again, it travels a distance A.
As the mass travels due to its inertia, returning to the initial position, it travels a distance A.
Four distances of A, thus the total distance traveled during its oscillation period is 4*A.
Second Question:
Frequency is the reciprocal of period. This is true for any situation for which both frequency and period are applicable concepts.
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