A mass m on a spring with a spring constant k is in simple harmonic motion with a period T. If the same mass is hung from a spring with a sp

Question

A mass m on a spring with a spring constant k is in simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 3k, the period of the motion will be _______.

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Thiên Di 5 months 2021-08-26T10:34:12+00:00 1 Answers 0 views 0

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    2021-08-26T10:35:14+00:00

    Answer:

    d) decreased by a factor of the square root of 3

    Explanation:

    Data provided in the question

    Mass = M on a spring

    Spring constant = k

    Period = T

    Spring constant = 3k in the case when the same mass is hung

    Based on the above information, the period of the motion is

    As we know that

    T = 2\times Pi\times \sqrt{\frac{m}{k}}

    Based on this, there is a decrease by a factor of the square root of 3

    hence, the correct option is d.

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