Simple Harmonic Motion of Vertical Springs Video Lessons

Concept

Problem: A mass is oscillating with amplitude A at the end of a vertical spring of spring constant k.Part (a) The amplitude is doubled, keeping mass and k constant. What is true about the total mechanical energy? Part (b) The amplitude is doubled, keeping mass and k constant. What is true about the maximum speed?

FREE Expert Solution

Part (a)

From the equation of mechanical energy:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{k}}{{\mathbf{A}}}^{{\mathbf{2}}}}$

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Problem Details

A mass is oscillating with amplitude A at the end of a vertical spring of spring constant k.

Part (a) The amplitude is doubled, keeping mass and k constant. What is true about the total mechanical energy?

Part (b) The amplitude is doubled, keeping mass and k constant. What is true about the maximum speed?