The initial position, velocity, and acceleration of an object moving in simple harmonic motion are x, v, and a; the angular frequency of oscillation is w. (a) Show that the posi- tion and velocity of the object for all time can be written as x(t) = x, cos wt + sin ot v(1) = -xw sin ot + v,cos ot (b) Using A to represent the amplitude of the motion, show that z2 – ax = v? – ax, = w²A?

The initial position, velocity, and acceleration of an object moving in simple harmonic motion are x, v, and a; the angular frequency of oscillation is w. (a) Show that the posi- tion and velocity of the object for all time can be written as x(t) = x, cos wt + sin ot v(1) = -xw sin ot + v,cos ot (b) Using A to represent the amplitude of the motion, show that z2 – ax = v? – ax, = w²A?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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