Comparing this to the x-component of uniform circular motion, we found as a poss

Question

Comparing this to the x-component of uniform circular motion, we found as a possible solution for the above equation:

Consider an oscillator with mass 0.261 kg and spring constant 15.7 N/m. If the amplitude of the oscillation is 3.82 cm, what is the maximum speed? You must use the equations of circular motion to answer the question, not conservation of energy.

Analyzing Newton's 2nd Law for a mass spring system, we found .

Comparing this to the x-component of uniform circular motion, we found as a possible solution for the above equation:

with , and A the amplitude (maximum displacement from equilibrium).

Explanation / Answer

maximum speed is

v max = w A = root k/m A = root ( 15.7/0.261) ( 0.0382 m) = 0.296 m/s

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