Recent content by danmel413

Homework Statement A beam is supported at one end, as shown in the diagram (PROBLEM 11 page 281 of Lea, 159 of the course pack). A block of mass M and length l is placed on the beam, as shown. Write down the known conditions at x = 0. Use the Laplace transform to solve for the beam...

T(x,y,z) satisfies ∂T/∂t =D∇2T and T(x,y,z) = T1 + τ(x,y,z)

Homework Statement A rectangular box measuring a x b x c has all its walls at temperature T1 except for the one at z=c which is held at temperature T2. When the box comes to equilibrium, the temperature function T(x,y,z) satisfies ∂T/∂t =D∇2T with the time derivative on the left equal to zero...

Homework Statement A violin string is plucked to the shape of a triangle with initial displacement: y(x,0) = { 0.04x if 0 < x < L/4 (0.04/3)(L-x) if L/4 < x < L Find the displacement of the string at later times. Plot your result up to the n = 10...

Well by the definition of reduced mass, μ=(mHmCl)/(mH+mCl). If were to make it (mHmCl')/(mH+mCl') - (mHmCl)/(mH+mCl) I can reduce it down to (m2HΔmCl)/((mH+mCl')((mH+mCl')). Which is equal to the correct answer if ((mH+mCl')(mH+mCl))=(mH+mCl)2 (The denominator) but I don't understand why the...

Bump. I have the same question. I would assume the change in vibration frequencies would be equal to Δf=(n/2π)√(k/Δμ) but when I look at the solution, the Δμ is in the numerator and there's a factor of -1/(2μ3/2). How does that work? Also, when finding Δμ, the way I've worked it out only works...

Basically I've seen some expressions involving Hermitian Operators that I can't seem to justify, that others on the internet throw around like axiomatic starting points. (AB+BA)+ = (AB)++(BA)+? Why does this work? Assuming A&B are hermitian, I get why we can assume A+B is hermitian, but does...

Thanks everyone for your help. I realized my entire problem came from me not copying down the coefficient equation correctly when I went to solve it.

Homework Statement ISW walls at 0 and L, wavefunction ψ(x) = { A for x<L/2; -A for x>L/2. Find the lowest possible energy and the probability to measure it? Homework Equations Schrödinger equation ψ(x)=(√2/L)*(sin(nπx/L) cn=√(2/a)∫sin(nπx/L)dx {0<x<a} En=n2π2ħ2/2ma2 The Attempt at a...

Homework Statement Basically I have to convert from Gaussian Units in a Transmission Line Experiment. I don't get what the point of expressing Capacitance in cm is and I find this very confusing. Homework Equations The equation I've been given is C'=Q'/V=w/4πh, (1) where the prime denotes "per...

Homework Statement Problem: Consider a "crystal" consisting of two nuclei and two electrons arranged like this: q1 q2 q1 q2 with a distance d betweem each. (q1=e, q2=-e) a) Find the potential energy as a function of d. b) Assuming the electrons to be restricted to a one-dimensional...

Homework Statement Find the velocity x' as a function of the displacement x for a particle of mass m, which starts from rest at x =0, subject to the following force function: F0 + cx Homework Equations Fx = m d2x/dt2 ax=Fx/m=x''=v dv/dx The Attempt at a Solution So I'm pretty sure I'm doing...