A mass on a spring undergoes simple harmonic motion with amplitude A. In a time

Question

A mass on a spring undergoes simple harmonic motion with amplitude A. In a time equal to 3 periods (3T), what distance does the mass move and what is its displacement? Explain. Can displacement and acceleration be in the same direction for an object undergoing simple harmonic motion? If no, explain why not. If yes, give an example. A mass m is in simple harmonic motion with amplitude A. The kinetic energy of the mass m does NOT depend on m. What does it depend on? Explain this seemingly odd result.

Explanation / Answer

1.distance=12A.Since for each Period T it travles distance=A

displacement=0.Since displacement is the shortest length between final and initial point

2.displacement and acceleration will be in opposite direction..or else object will never come back..and u cant call it Simple harmonic

3.If it doesnt depend on mass..Since sum of potential and kinetic energy is constant,..it should depend on amplitude

Ex:Simple penddulum

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