Chapter 14 Oscillations. To understand the physics and mathematics of oscillation. To draw and interpret oscillatory graphs. To learn the concepts of phase and phase constant To understand and use energy conservation in oscillatory system
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To understand the physics and mathematics of oscillation.
To draw and interpret oscillatory graphs.
To learn the concepts of phase and phase constant
To understand and use energy conservation in oscillatory system
To understand the basic ideas of damping and resonance.
Is called simple harmonic motion.
We define ω=2π/T= 2πf, is called
V(max) = ωA
is called phase.
When t = 0, initial condition
Notice: Φo=π/3 and Φo=-π/3 have the same starting x, but different Vo
Then you compare this trigonometric
Function and the figure, you can get
But at t = 0, the slope of curve is negative
So V0 is negative, from
Sin(Φo) is positive, that makes Φo=π/3.
K = 10N/m, The spring stretch at equilibrium is given by ΔL=mg / K = 19.6 cm
That is the amplitude of oscillation
A = 30cm-19.6cm = 10.4 cm
The initial condition y0=-A =AcosΦo
Φo=π. So the oscillator function is