If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)
A) The period is reduced to one-half of what it was.
B) The amplitude is doubled.
C) The period is doubled.
D) The angular frequency is doubled.
E) The angular frequency is reduced to one-half of what it was.

Question

Quizplus · Accepted Answer

The period of a system undergoing simple harmonic motion is inversely proportional to the frequency, so if the frequency is doubled, the period is halved (A). The angular frequency (ω) is directly proportional to the frequency (ω = 2πf), so if the frequency is doubled, the angular frequency is also doubled (D). The amplitude of the motion is independent of the frequency and is not affected by changes in frequency, so (B) is incorrect. (C) and (E) are incorrect based on the inverse relationship between period and frequency and the direct relationship between angular frequency and frequency, respectively.

If We Double the Frequency of a System Undergoing Simple