1/ Describe and define periodic motion and simple harmonic motion (SHM). 2/ Use
ID: 2116813 • Letter: 1
Question
1/ Describe and define periodic motion and simple harmonic motion (SHM).
2/ Use the period, amplitude and phase to describe SHM, and find the position, velocity and acceleration.
3/ Use and distinguish frequency and angular frequency.
4/ Relate the force law (e.g. Hooke%u2019s law for a spring) and the mass to the period in SHM.
5/ Explain the interchange of potential and kinetic energy in mechanical oscillations.
6/ Use energy conservation in solving for parameters of an oscillating system.
7/ Explain the motion of the simple and physical pendulums; recognise the approximation used in deriving
the small-amplitude formula for the period of a pendulum.
8/ Explain the behaviour of a damped oscillator, including the effects of different degrees of damping.
9/ Explain the phenomenon of resonance.
10/ Sketch resonance diagrams (amplitude vs driving frequency).
11/ Explain the dependence on driving (forcing) frequency, natural frequency, and degree of damping.
Explanation / Answer
1. Periodic motion is the motion which repeats itself after a certain interval of time whereas Simple harmonic motion is the motion which can be described in the form of a sinusoidal nature.
2. X=ASin((2pi/T)t)
X: position,
T: Period
A: Amplitude
(2pi*t/T): phase
v=A*(2pi/T)*Cos((2pi/T)*t)
a=-A*(2pi/T)^2*Sin((2pi/T)t)
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