Recent content by physicist10

Homework Statement Hello, I want to obtain a solution to a, where k is a constant. The formula is: k/a = tan(a) I need to write a MATLAB code for this but I have been struggling for hours. And I must send the project to my professor in an hour. :( Homework Equations I know that I need to...

I make the substitution and apply the multiplication derivative rule? I know that one boundary condition is u(0,t)=0. Are there more?

Thanks. This helps a lot. These might be fundamental questions but I'll ask them anyway: 1) How do I obtain F(x,t)? 2) After I obtain F(x,t), how do I go to k from that? I thought F = kx but in this case F is a function.

Actually not quite. Are we trying to obtain F(x,t)? And what about my other questions: What is the mass? Is it the mass of the spring + mass of the brick? And if I understood correctly, the external force applied has no effect on the natural frequency. Right? Thanks for any help!

Well, first I have no idea what the force function is. Is it sinusoidal? And formulas: F = kx k = Gd^4 / 8D^3n What is the mass? Is it the mass of the spring + mass of the brick? And if I understood correctly, the external force applied has no effect on the natural frequency. Right...

Homework Statement Consider the spring-mass system shown. A dynamic load, P(t), is applied with a frequency of 300 rpm. The helical compression spring is made of a music wire. When installed, the spring force is to vary between 100 and 500 N while the spring height varies over a range of...

Thanks Zirkus!

Aha, he's probably talking about the traction vector. However, this was very helpful. Thanks

Homework Statement Homework Equations General plane formulas. The Attempt at a Solution I thought that the plane has 2 stress components. σn and σs. σn is a multiple of (l, m, k) vector. For σs, I made up a vector (a, b, c) which is orthogonal to (l, m, k). And I equated all...

Hello, I am struggling with this problem. It is probably the easiest problem ever... What I did: The plane has 2 stress components. σn and σs. σn is a multiple of (l, m, k) vector. For σs, I made up a vector (a, b, c) which is orthogonal to (l, m, k). And I equated all vectors. I'm...

Oh yes, I found it now. I must equate the cosine term (cos(π/8 - Φ/2)) to zero. But why exactly?

Hmm, thanks hikaru. How can I proceed? I have no idea.

Let's see. The sum of the two waves is: E = 2E0 sin(wt + π/8 + Φ/2) cos(π/8 - Φ/2) = 0 That is satisfied when wt + π/8 + Φ/2 = kπ wt=2πft=2π, so we can drop it. Φ = 2kπ - π/4

Phase difference is Φ - π/4. So d/λ = (Φ - π/4)/2π d = (2k+1)/2 λ for destructive interference So, (2k+1)/2 λ = (Φ - π/4)/2π λ Φ = 2kπ + 5π/4 ------------- The second way, I added 2 wave functions together and I equated the expression to zero. I found Φ = 2kπ - π/4

Homework Statement In Young's double-slit interference experiment with light of wavelength \lambda, two light waves come from the slits and are superposed at the point P on the screen. These waves have the following forms: E1 = E0 sin(wt + π/4) E2 = E0 sin(wt + Φ) Find the possible...