Frequency and Period of SHM

AP Physics 1· difficulty 3/5

A mass on two identical springs (each kk) in <strong>series</strong> oscillates with period

  • A

    2πm/k2\pi\sqrt{m/k}

  • B

    2π2m/k2\pi\sqrt{2m/k}

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  • C

    2πm/(2k)2\pi\sqrt{m/(2k)}

  • D

    2π4m/k2\pi\sqrt{4m/k}

Explanation

Series: keff=k/2k_\text{eff} = k/2. T=2πm/(k/2)=2π2m/kT = 2\pi\sqrt{m/(k/2)} = 2\pi\sqrt{2m/k}.

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