Frequency and Period of SHM

AP Physics 1· difficulty 4/5

A mass-spring system has period T0T_0. If both the mass and spring constant are doubled, the new period is

  • A

    2T02T_0

  • B

    T0T_0 (changes cancel; Tm/kT \propto \sqrt{m/k})

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  • C

    2T0\sqrt{2} T_0

  • D

    T0T_0

Explanation

T=2πm/kT = 2\pi\sqrt{m/k}. Doubling both keeps m/km/k same, so TT unchanged.

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