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    Oscillations: The spring with varying force constant

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    Many real springs are more easily stretched than compressed. We can represent this by using different spring constants for and for . As an example, consider a spring that exerts the following restoring force:

    A mass on a frictionless, horizontal surface is attached to this spring, displaced to by stretching the spring and released.

    1) Find the period of the motion.
    Express your answer in terms of and .

    2) Does the period depend on ?

    yes

    no

    3) Are the oscillations simple harmonic?

    yes

    no

    4) What is the most negative value of that the mass reaches?

    5) Is the oscillation symmetric about the point ?
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    Please see the attachment

    Many real springs are more easily stretched than compressed. We can represent this by using different spring constants for and for . As an example, consider a spring that exerts the following restoring force:

    A mass on a frictionless, horizontal surface is attached to this spring, displaced to by stretching the spring and released.

    I think the force is - kx for x > 0
    And - 2kx for x < ...

    Solution Summary

    The spring is having different force constants for stretching and compressing, The period is calculated and other four parts are discussed and answered.

    $2.49

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