Ok.. that's what i wanted to hear..
I wanted to get confirmation from someone that simplifying the torque analysis by saying all forces act through the CM is no longer valid in this case.
Thank you
my work based on your angle definition
well.. i have calculated the net torque based on the way you defined theta and phi...
i don't see how the general expression goes to zero...
Yes, and the net torque according to my work for sub critical angles does not absolutey go to zero... and I have not been able to identify what i did wrong...
the only explanation to my net Torque not going to zero is for sub critical angle where the flat base is fully in contact with the...
i have defined alpha and theta, so your phi is 90 - alpha.
I feel like for sub critical angles, this CM treatment in calculating the net torque may not work.
Just like when it is at the critical angle, Fnormal and Ffrictin do not come into play because they are drawn from the pivot point, not...
thank you for your reply.
The question is set up such that friction doesn't exist.
Also, i took into account the fact that Fn = Fg cos (theta)
i don't see what part of my work is wrong because my conclusion for some arbitrary angle less than the critical angle, (when the base is fully in...
Homework Statement
I know this tipping a block question has been asked many times and I know how to find the critical angle at which a block tips over.
I was just wondering how one would go about analyzing the torque of the system. We all know that anywhere from 0 to the critical angle...
"basic paraxial optics toolkit' seems very useful but its either my lack of knowledge or the way it is designed but I am not sure how to simulate introducing spatially dependent phase between cavity mirrors.
Hello there,
I have been searching for MATLAB simulations that analyze optical cavities and there are some useful codes.
Yet, I haven't found codes that analyze what happens to cavit transverse modes if spatially dependent phase is introduced between mirrors
Does anybody know if there...
Hello everyone.
I'm really struggling to simulate a cavity problem.
My goal is to be able to know what's going to happen if i introduce spatially dependent phase inbetween mirrors of a cavity that supports certain transverse modes.
Well, i believe solving for eigenmodes of a cavity is...
Hello,
I've been going through some cavity material and attempted analyses regarding transverse modes.
Invariably, they always deal with general solutions of paraxial equation and do not have solutions specific to specific cavities
I do know that general solutions to paraxial equation...
Homework Statement
Hello everyone,
I was trying to plot (density plot and 3d plot) Hermite Gaussian polynomials on Mathematica hoping the plot will be good enough to show patterns such as this link ...
Homework Statement
I have proved the first one and I am trying to do the second using the result from part 1)
Homework Equations
F_1=1, F_2=2, F_n=F_{n-1}+F_{n-2}
The Attempt at a Solution
base case: F_1|F_k since F_1=1
Assume it works for n, F_n|F_{kn}
show F_{n+1}|F_{kn+k}...
Homework Statement
I was going over the solution where it says \s_x, s_y are out of phase by pi/2.
They first wrote equation of motion for \s_x, s_y and then did something to the matrix and now the have equation of motion for \s_+, s_-
They rewrite \s_x, s_y in terms of \s_+, s_- to see that...