If a simple harmonic motion is represented by  d2xdt2 + αx  =  0, its time period is:

Question

If a simple harmonic motion is represented by  d2xdt2 + αx  =  0, its time period is:
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Solution 1

The equation you provided is the differential equation for simple harmonic motion (SHM). In this equation, α is the angular frequency squared (ω²).

The general form of the equation for SHM is d²x/dt² + ω²x = 0.

The angular frequency ω is related to the period of the motion T by the equation ω = 2 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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