Energy in the Simple Harmonic Oscillator 01

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Last updated 1:46 PM on 11/7/25
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8 Terms

1
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What are the two main forms of energy in SHM?

Kinetic energy (K = ½mv²) and potential energy (U = ½kx²)

2
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Write the total mechanical energy in SHM.

E=K+U=1/2​mv2+1/2​kx2

3
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When is the energy all potential?

At the maximum displacement (x = ±A).

4
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When is the energy all kinetic?

At the equilibrium position (x = 0).

5
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What is the total mechanical energy in terms of amplitude?

E=1/2​kA2

6
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Is total mechanical energy constant?

Yes, it is conserved in a frictionless system.

7
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What is the velocity as a function of position in SHM?

v= ±ω sqrt(A2−x2​)

8
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What is the difference between total mechanical energy and total energy?

Total mechanical energy = kinetic + potential (in ideal systems).
Total energy = includes all forms (mechanical, heat, sound, etc.).