Homework Statement
I am trying to make a plot of the magnification factor of an underdamped vibrating system versus the frequency ratio using MATLAB. However, my MATLAB skills are very basic and I keep getting an error message.
Basically I am trying to plot:
MF=1/√((1-r^2)^2+(2ζr)^2)...
Thanks! I plugged the values in for "c" and ended up with the functions sin(kL) and 0.132(kL). I plotted both functions and found that they intersected at kL=0 and kL~0.8rad.
Homework Statement
http://img842.imageshack.us/img842/4917/physp6.jpg
I am trying to solve the above problem. However, I am supposed to solve it with the following values:
U=54.7eV
L=0.2nm
Particle is an electron, so:
m=9.109E-13kg=0.511eV/c^2
Essentially I am supposed to...
I looked back over each step carefully. I must have made my mistake when solving for Pα in Equation 3. I ended up writing a script on MATLAB that solved for the three unknowns and got the answers that way. Thanks for the tips!
Homework Statement
An alpha particle traveling with a kinetic energy of 5.5 MeV and a rest-mass of 3727.8 MeV/c^2 strikes a gold atom with a rest-mass of 183,476 MeV/c^2.
-The gold atom is initially at rest
-The alpha particle deflects perpendicular to the horizontal in the after state...
Homework Statement
In the Compton scattering event seen in the figure, the scattered photon has an energy of 120 keV and the recoiling electron has an energy of 40 keV.
Find:
a) The wavelength of the incident photon
b) The angle θ at which the photon is scattered
c) The recoil angle...
Homework Statement
For a zero initial deflection and for a finite initial velocity, the time dependence of the vibration response of an overdamped system to an impulse is given by:
(1) θ(t)=[I/(mω)√(ζ^2-1)][e^-(ζωt)][cosh(ω√(ζ^2-1))t]
which for large values of time becomes:
(2)...
I figured it out. Once I applied the fact that momentum is a vector and and energy is a scalar, I was able to set up 2 sets of equations for each part of the problem and solve for the momentum values and then the energies.
Thanks for all of the help!
Since momentum is a vector, the total momentum would be zero in the "after" state if they had equal magnitudes, but opposite directions. However, the direction of γ2 is actually arbitrary. The only way that I can seem figure this out is if both photons are moving in the same direction with...
Conservation of relativistic momentum and energy, pion decays
Homework Statement
A small particle (pion), traveling at a velocity V, decays into two rays, γ1 and γ2. Find the Momentum and Energy of γ1 and γ2 if: a) γ1 is in line with V, and b) if γ1 is perpendicular to V.
I drew out the...
Homework Statement
In general, I know that you can use the equation ωn=[k/m]^0.5 to calculate the natural frequency of a hanging spring and mass system.
However, for a non-ideal spring (where the mass of the spring isn't negligible) a correction factor is added to the equation and it...
Homework Statement Police radar detects the speed of a car as follows: Microwaves of a precisely known frequency are broadcast toward the car. The moving car reflects the waves with a doppler shift. The reflected waves are received and combined with an attenuated version of the tansmitted wave...
Homework Statement
Consider the electrical circuit shown:
http://imageshack.us/a/img525/8163/p1circuit.png
Let the state variables be x1(t)=Vc(t), x2(t)=iL(t), and x3(t)=Vc(t); output is Vo(t). Write the state-space equations in matrix form and find the transfer function, T(s)=Vo(s)/Vi(s)...