Thread Closed

Oscillation problem. Please help me! I'm stupid...

 
Share Thread Thread Tools
Oct15-06, 02:12 PM   #1
 
Unhappy

Oscillation problem. Please help me! I'm stupid...


A particle of mass m is moving under the ocmbined action of the forces -kx, a damping force -2mb (dx/dt) and a driving force Ft. Express the solutions in terms of intial position x(t=0) and the initial velocity of the particle.

For the complementary solution, use x(t) = e^(-bt) A sin (w1t + theta)
And the for the particular solution, use Ct + D

w1^2 = w0^2 - b^2 w0^2 = k/m

Here's what I have so far:
m (dx^2/dt^2) + 2mb (dx/dt) + kx = Ft

(dx^2/dt^2) + 2b (dx/dt) + w0^2 x = At (A = F/m)
The complementary solution is x = e^(-bt) (A1e^(w1t) + A2e^-(w1t). I dont know how to convert this to the form above. And I am totally clueless as to how to find the particular solution.

Please help!
PhysOrg.com
PhysOrg
science news on PhysOrg.com

>> Bird's playlist could signal mental strengths and weaknesses
>> Minus environment, patterns still emerge: Computational study tracks E. coli cells' regulatory mechanisms
>> Bacterium uses natural 'thermometer' to trigger diarrheal disease, scientists find
Thread Closed
Thread Tools


Similar Threads for: Oscillation problem. Please help me! I'm stupid...
Thread Forum Replies
Oscillation problem Introductory Physics Homework 1
Oscillation problem Introductory Physics Homework 2
oscillation problem Introductory Physics Homework 2
Is damped oscillation a kind of forced oscillation? General Physics 5
Oscillation problem Classical Physics 0