Physic Labs

Problem 1

A mass mm attached to a spring of constant kk oscillates without damping with amplitude AA. Find its maximum speed and period. Assume ideal objects and components, neglect unstated losses, and use SI units. (a) Derive the primary requested quantity from the appropriate law. (b) Analyze quantitatively how the result depends on the given parameters. (c) Check a physically meaningful limiting case and explain its meaning. State sign conventions, show reasoning, and check dimensions. (a) Calculate the requested quantity from the data. (b) Give the law or expression showing parameter dependence. (c) Examine a limit consistent with the model.
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T=2πm/k, vmax⁡=Ak/m, amax⁡=kA/m\boxed{T=2\pi\sqrt{m/k},\ v_{\max}=A\sqrt{k/m},\ a_{\max}=kA/m}
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The boxed results answer each part in order and satisfy the assumptions and dimensional requirements.