derive the Rayleigh scattering equation
derive the Rayleigh scattering equation 2 m2-1 ANa (1+ Cos ) I Is m+2
Please provide any MATLAB code you used for plotting.
1 1 2 m2 1. Consider the system above. Derive the equation of motion and calculate the mass and stiffness matrices. a) Calculate the characteristic equation forthe case m 9 kg m 1 kg k 24 N/m k2 3 N/mk3- 3 N/m and solve for the system's natural frequencies. b.) Calculate the eigenvectors u1 and u2 c.) Calculate xi(t) and x2(t), given x2(0)-1 mm, and xi(0) - vz(0) -vi(0) 0 d.)...
m1 m2 Figure 1: 2dof 1. Consider the system above. Derive the equation of motion and calculate the mass and stiffness matrices Note that setting k30 in your solution should result in the stiffness matrix given by Eq. (4.9). a. Calculate the characteristic equation from problem 4.1 for the case m1-9 kg m2-1 kg ki-24 N/m 2 3 N/m k 3 N/m and solve for the system's natural frequencies. b. Calculate the eigenvectors u1 and u2. c. Calculate 띠(t) and...
The ramp angle is 30°. Assume m2 slides down the ramp.
m Derive the equation for the acceleration of the masses if the surface has friction and the masses slide still in the same direction. The coefficient of kinetic friction is uk = 0.20. Under what mass condition is this acceleration equal to g/4?
I need to know how to derive this equation.
15. Frictional Surface m A block of mass mi collides with a block of mass m2 such that block of mass mi becomes at rest while block of mass m2 slides across a surface of negligible as it travels with a constant speed toward the frictional surface, as shown above. The coefficient of kinetic friction between block of mass m2 and the frictional surface is Mk. What is the rate of...
Derive the following equation: E Fo=mag= m (r Ë– 2 i ė)
b) Write out the two equations to be used to derive the acceleration equation for this case . (4pts) Equation 1 for Object ml Equation 2 for Object m2: c) Derive the correct acceleration equation for the modified Attwood machine depict above .(3 pts) Given the following modified Attwood machine pictured. Assume the acceleration will occur in the clockwise direction and m, is greater than m, 28. m 1 m 2 a) Draw the FBD Diagram for each object m,...
How
do I solve this problem?
11. (4 pts) (a) Use integration by parts to derive the formula: cos(cs (x) m cos(x) sin" (x) nsin (nsin (x) (b) (2 pts) Use the formula in part (a) to evaluate co (xxdx
11. (4 pts) (a) Use integration by parts to derive the formula: cos(cs (x) m cos(x) sin" (x) nsin (nsin (x) (b) (2 pts) Use the formula in part (a) to evaluate co (xxdx
(3) Prove the Compton scattering formula: Δλ--( 1-cos θ) for the wavelength shift Δλ of a photon of wavelength λ scattering from an electron of mass me and is scattered through angle θ, c is the velocity of light. What value of θ is the maximum shift experienced?
Assuming that the equation can be approximately applied at all
scattering angles θ, what is the minimum energy of a
scattered X-ray photon if the incident X-ray energy is 67 keV? What
is the largest possible energy of a scattered X-ray emitted at a
scattering angle of 90°?
-116.66 points ~ ZINPHYSLS3 24.P.003. My Notes Ask Your Teacher V Assuming that the equation Ephoton, initial Ephoton, final = 1 + Ephoton, initial (1 - cos > mec² can be approximately...
1. Derive equation of motion 2. Use Laplace transformation to get the analytical solution. 3. Find expression of displacement and velocity Problems I. An instrument is attached to a base whose motion is to be measured. The relative motion between mass m and the base recorded by a rotating drum will indicate the motion of the base. Assume that x is the displacement of the mass, y is the displacement of the base, and z x-y is the motion of...