Starting from the origin, a body oscillates simple harmonically with a period of 2s. After what time will its kinetic energy be 75% of the total energy?

Question

Starting from the origin, a body oscillates simple harmonically with a period of 2s. After what time will its kinetic energy be 75% of the total energy?
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Solution 1

In simple harmonic motion, the kinetic energy (KE) and potential energy (PE) vary sinusoidally and are 90 degrees out of phase. The total energy (TE) is constant and is the sum of the kinetic and potential energy.

The kinetic energy is given by KE = TE * (1 - cos^2(wt)), where w is the angular fre Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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