Recent content by hangainlover

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    Critical angle (torque) at which the block tips over

    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wanted to get confirmation from someone that simplifying the torque analysis by saying all forces act through the CM is no longer valid in this case.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
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    Critical angle (torque) at which the block tips over

    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...
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    Critical angle (torque) at which the block tips over

    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...
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    Critical angle (torque) at which the block tips over

    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...
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    Critical angle (torque) at which the block tips over

    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...
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    Critical angle (torque) at which the block tips over

    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...
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    MATLAB Cavity simulation on matlab with spatially dependent phase

    "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.
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    MATLAB Cavity simulation on matlab with spatially dependent phase

    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...
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    Simulating e&m wave propagation

    i have looked at Microwave Studio and COMSOL. there websites don't seem to sell them.. do you know where i can purchase these products?
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    Simulating e&m wave propagation

    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...
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    Solving paraxial equation (to get cavity modes)

    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...
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    Can Mathematica Produce High-Quality Plots of Hermite Gaussian Polynomials?

    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 ...
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    Proof by Induction Homework: Proving F_n|F_{kn}

    I have uplloaded the problem statement in the attachment sorry i forgot to mention that
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    Proof by Induction Homework: Proving F_n|F_{kn}

    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}...
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    Larmor precession pi/2 out of phase

    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...
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