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 system's potential energy when its kinetic energy is equal to 3/4E?

FREE Expert Solution

The potential energy of a simple harmonic oscillator:

U=12kA2

Total energy:

E = KE + U

U = E - KE = E - 3/4E = 1/4E

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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 system's potential energy when its kinetic energy is equal to 3/4E?

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Our tutors have indicated that to solve this problem you will need to apply the Energy in Simple Harmonic Motion concept. You can view video lessons to learn Energy in Simple Harmonic Motion. Or if you need more Energy in Simple Harmonic Motion practice, you can also practice Energy in Simple Harmonic Motion practice problems.

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