MTH 108 Lecture Notes - Lecture 19: Simple Harmonic Motion, Angular Frequency, Wave Equation

• School: University of Miami
• Department: Mathematics
• Course: MTH 108
• Professor: Lun- Yi Tsai

Document Summary

Provide a generalization to each of the key terms listed in this section. The simple harmonic motion is a kind of occasional or oscillatory movement that is under a hindering power relative to the measure of relocation from a balanced or equilibrium position. Total energy equation y (t) = a sin(cid:0) 2 . = a sin(cid:18)q k m (t)(cid:19) v = a cos ( t) a = 2a sin ( t) You are given a 9-kg particle that is moving as the following function of time where the distance is measured in meters while the time"s measured in seconds: x = 5cos(cid:16)1. 5t + Amplitude x = a cos ( t + 0) A = 5 m x = a cos ( t + 0) Angular f requency = x = 5cos(cid:16)1. 5t + = 1. 5 rad s x = a cos ( t + 0) F requency = f = x = 5cos(cid:16)1. 5t +