Register to reply

Matching Initial Position and Velocity of Oscillator

by Linus Pauling
Tags: initial, matching, oscillator, position, velocity
Share this thread:
Linus Pauling
#1
Nov7-09, 03:27 PM
P: 190
1. Find C and S in terms of the initial position and velocity of the oscillator.
Give your answers in terms of x_0, v_0, and omega. Separate your answers with a comma.




2. x(t) = X_0 + v_0*t + 0.5at^2
x(t) = C*cos(omega*t) + S*sin(omega*t)




3. Taking the derivative of x(t):

v(t) = -C*omega*sin(omega*t) + S*omega*sin(omega*t)

Thus,

x_0 = C
v_0 = S*omega

How don't quite see how to solve for C and S in terms of x_0, v_0, and omega only.
Phys.Org News Partner Science news on Phys.org
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
Linus Pauling
#2
Nov7-09, 03:34 PM
P: 190
This is as good as I've gotten it:

C = [x_0 + v_0*t + 0.5at^2] / cos(omega*t)

S = [x_0(1-cos(omega*t)) + v_0*t + 0.5at^2] / sin(omega*t)


Register to reply

Related Discussions
Harmonic oscillator v=1 most likely position Advanced Physics Homework 0
Find Acceleration with only Initial Velocity and Final position? Introductory Physics Homework 6
Initial Position Introductory Physics Homework 1
Given an initial position and velocity of a receiver, find the velocity of a ball Introductory Physics Homework 7
Initial Conditions of an Undamped Forced Harmonic Oscillator Introductory Physics Homework 4