Question

The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4?^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = ?/3 B) T = ?/2 C) T = ? D) 2 E) 1 F) T = 2?

Name: The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4?^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = ?/3 B) T = ?/2 C) T = ? D) 2 E) 1 F) T = 2?
Uploaded: 2024-06-22T14:38:19-08:00
Duration: 1 min 38 s
Channel: Adi S
Description: The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4?^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = ?/3 B) T = ?/2 C) T = ? D) 2 E) 1 F) T = 2?

          The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4?^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = ?/3 B) T = ?/2 C) T = ? D) 2 E) 1 F) T = 2?

The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4?^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = ?/3 B) T = ?/2 C) T = ? D) 2 E) 1 F) T = 2?

Added by Denise M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/22/2024

Step 1

The general solution for this type of equation is: $$x(t) = A\cos(\omega t) + B\sin(\omega t)$$ Where A and B are constants determined by initial conditions. Now, we know that the period of oscillation (T) is related to the angular frequency (ω) by the Show more…

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The equation of motion for a simple harmonic oscillator is d^2x/dt^2 + 4π^2x = 0, where x is displacement and t is time. The period of oscillation is: A) T = π/3 B) T = π/2 C) T = π D) 2 E) 1 F) T = 2π