**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 *= – *ω ^{2}*

*x*,

*a*= –

*Aω*cos

^{2}*ωt*,

*v*=

*Aω*sin

*ωt*,

*x*=

*A*cos

*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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