(sorry this is so late) Just an FYI...
I went to UCSB and graduated with a BS in Physics. It is an amazing school and I would highly recommend the program, but, if you want to go to grad school for physics save UCSB for that time period. UCSB generally recommends that you do your undergraduate...
work
F(t)=m*f_0*cos(wt) in general
long term motion x(t)=A*cos(wt-delta)
delta= arctan((2Bw)/(w_0^2-w^2))
A^2= (f_0^2)/((w_0^2-w^2)^2+4*B^2*w^2)
< P >=mBw^2*A^2
= m*f_0*cos(wt)*distance
mBw^2*A^2 = mBw^2*(f_0^2)/((w_0^2-w^2)^2+4*B^2*w^2) = m*f_0*cos(wt)*distance
cancel...
I am really struggling with this question...
Question: Consider a damped oscillator, with natural frequency w_0 (omega_0) and damping constant B (beta) both fixed, that is driven by a force F(t)= F_0*cos(wt). Find the rate P(t) at which F(t) does work and show that the average < P > over any...