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A mass on a string moves with simple harmonic motion. If
Chapter 13, Problem 71GP(choose chapter or problem)
Problem 71GP
A mass on a string moves with simple harmonic motion. If the period of motion is doubled, with the force constant and the amplitude remaining the same, by what multiplicative factor do the following quantities change: (a) angular frequency, (b) frequency, (c) maximum speed, (d) maximum acceleration, (e) total mechanical energy?
Questions & Answers
QUESTION:
Problem 71GP
A mass on a string moves with simple harmonic motion. If the period of motion is doubled, with the force constant and the amplitude remaining the same, by what multiplicative factor do the following quantities change: (a) angular frequency, (b) frequency, (c) maximum speed, (d) maximum acceleration, (e) total mechanical energy?
ANSWER:
Step 1 of 6
(a) Let the time period be T, spring constant be k and the amplitude be A.
Then,