Physics 1402A/B Lecture 10: Lecture 10 Notes - SHM1 (Mass-Spring Systems)

• School: Western University
• Department: Physics
• Course: Physics 1402A/B
• Professor: Jan Cami

Document Summary

Characterize the frequency, angular frequency, period and amplitude for oscillations. Describe simple harmonic motion (smh) with a linear restoring force quantitatively. Here we will study periodic motion, which is a motion that repeats over and over again. The simplest form of oscillatory motion is called simple harmonic motion (shm). The mathematical representation of the position simple harmonic motion is x(t) = acos( t + ) x = position of the object, t = time. A = amplitude of motion = maximum displacement away from the equilibrium position. = phase constant that depends on the initial condition. Depends on the properties of the system, not the initial conditions. T = period of motion (s) f = /2 = 1/t (cycles/second, hz) Depends on initial conditions properties of the system. A x is dependent and t is independent. Velocity: v = dx/dt v = -asin( t + )* v = -a sin( t + )