Energy in Simple Harmonic Motion Video Lessons

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Problem: An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E.What is the object's velocity when its potential energy is 2/3E?Answer in terms of m, k, A

FREE Expert Solution

Maximum velocity:

vmax=kmA

Potential energy is given as,

P.E = 2/3E

But, E = P.E + K.E

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Problem Details

An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E.

What is the object's velocity when its potential energy is 2/3E?
Answer in terms of m, k, A

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Based on our data, we think this problem is relevant for Professor Bauer's class at UCLA.