Frequency and Period of SHM

AP Physics 1· difficulty 2/5

A mass-on-spring oscillator's mass is quadrupled. How does the period change?

  • A

    It stays the same.

  • B

    It doubles.

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  • C

    It quadruples.

  • D

    It halves.

Explanation

T=2πm/kT = 2\pi\sqrt{m/k}. If m4mm \to 4m, T2π4m/k=2TT \to 2\pi\sqrt{4m/k} = 2T.

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