Tag Archives: Simple harmonic motion

Unit 5. Oscillation

1 Sep
Bode plot of the frequency response of an idea...

Bode plot of the frequency response of an ideal harmonic oscillator. (Photo credit: Wikipedia)

Schrodinger equation - harmonics

Schrodinger equation – harmonics (Photo credit: Ethan Hein)

English: Animation demonstrating the simple ha...

Position, velocity and acceleration of an harm...

English: This animation depicts a simple pendu...
English: This animation depicts a simple pendulum consisting of a mass suspended by a light string and released from a small lateral displacement. If the amplitude is very small and the system is undamped, it behaves as a simple harmonic oscillator. (Photo credit: Wikipedia)
Sinusoidal waves correspond to simple harmonic...

Sinusoidal waves correspond to simple harmonic motion. (Photo credit: Wikipedia)

Diagram of a simple gravity pendulum.

Diagram of a simple gravity pendulum. (Photo credit: Wikipedia)

Illustration of a Simple harmonic oscillator

Illustration of a Simple harmonic oscillator (Photo credit: Wikipedia)

Oscillations

1. Recall that the condition for simple harmonic motion is F = –kx, and hence identify situations in which simple harmonic motion will occur    Spec-119

2. Recognize and use the expressions a = – ω2x,           a = –2 cos ωt, v = sin ωt, x = Acos ωt and      T = 1/f = 2π/ω as applied to a simple harmonic oscillator Spec-120.

3. obtain a displacement – time   graph for an oscillating object and recognize that the gradient at a point   gives the velocity at that point  Spec-   121

4. Recall that the total energy of an undammed simple harmonic system remains constant and recognize and use expressions for total energy of an oscillator. Spec-122

5. Distinguish between free, damped and forced oscillations.  Spec- 123

6. Investigate and recall how the amplitude of a forced oscillation changes at and around the natural frequency of a system and describe, qualitatively, how damping affects resonance. Spec-124

7. Explain how damping and the plastic deformation of ductile materials reduce the amplitude of oscillation.                                                                             Spec 125.

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