Frequency and Period of SHM

AP Physics 1· difficulty 3/5

A mass mm is attached to two springs (each with constant kk) in <strong>parallel</strong>. The period of oscillation is

  • A

    2πm/k2\pi\sqrt{m/k}

  • B

    2π2m/k2\pi\sqrt{2m/k}

  • C

    2πm/(2k)2\pi\sqrt{m/(2k)}

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  • D

    2π4m/k2\pi\sqrt{4m/k}

Explanation

Effective keff=2kk_\text{eff} = 2k. T=2πm/(2k)T = 2\pi\sqrt{m/(2k)}.

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