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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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.
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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 < ...
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