If the mass attached to a spring is increased and the constant is decreased, does the period of the oscillating motion increase, decrease or

Question

If the mass attached to a spring is increased and the constant is decreased, does the period of the oscillating motion increase, decrease or stay the same

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Thanh Thu 4 years 2021-08-08T17:22:26+00:00 1 Answers 25 views 0

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    2021-08-08T17:23:26+00:00

    Answer:

    Increase

    Explanation:

    The period of an oscillating system is the time it takes for the system to complete 1 oscillation.

    The period of a spring-mass oscillating system is given by

    T=2\pi \sqrt{\frac{m}{k}}

    where

    k is the spring constant

    m is the mass

    We see that:

    – The period is proportional to the square root of the mass: so as the mass increases, the period increases too (1)

    – The period is inversely proportional to the square root of the spring constant: so as the constant decreases, the period increases (2)

    In this problem:

    – The mass of the system is increased

    – The spring constant is decreased

    Therefore, according to observations (1) and (2), the period of the system will increase.

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