PHYS 1003 Lecture Notes - Lecture 21: Simple Harmonic Motion, Angular Frequency
26 Dec 2017
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Position: we will use the cosine version to describe the position of a simple harmonic oscillator. Angular frequency in rad/s (different from f frequency!: phase angle in rad (defined x at t=0) Velocity: the velocity of an object undergoing shm is. Acceleration: (acceleration not constant so related to a but not = to a) Displacement and acceleration are maximum when velocity is zero. The phase angle is used to shift the starting conditions of the oscillation. For example, given an equation and an initial speed, we can isolate for the phase angle when t=0. We (cid:272)a(cid:374) use newto(cid:374)"s se(cid:272)o(cid:374)d law to deter(cid:373)i(cid:374)e the for(cid:272)e o(cid:374) a(cid:374) o(cid:271)je(cid:272)t undergoing shm. Simple harmonic motion is where the restoring force is proportional to the displacement and in the opposite direction to the displacement. Since f= -kx then m 2 x = kx and : The oscillating mass always oscillates at a single frequency.
