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Oscillations: The spring with varying force constant

Please see attachment. Thanks.

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 ?



3) Are the oscillations simple harmonic?



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

5) Is the oscillation symmetric about the point ?


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.