For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?

Option 1 - x = 0

Option 2 - x = ± A

Option 3 - x = ± A/√2

Option 4 - x = A/2

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Answered by

Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 3

Detailed Solution:

K = U

½ mω² (A² - x²) = ½ mω²x²

A² - x² = x²

A² = 2x²

x = ± A/√2

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