/sci/ - Science & Math

>>11362162
>Z = Z1*Z2/(Z1+Z2)
yes
>V = sqrt(P*conj(Z))
what lmao
You've got [math] \mathbf{V} [/math]. You've got [math] Z=\frac{Z_1Z_2}{Z_1+Z_2} [/math]. Power over [math] Z_1 [/math] is [math] \mathbf{I}^2Z_1=\frac{\mathbf{V}^2}{Z^2}Z_1 [/math]. Active power is the real part of this complex number. You figure out the rest.
>>11362187
No LARPing in here.
>>11360420
Antimony#5965

>>11255305
but what's not to get about RREF?

Antimony#5965

>>11196775
MOHR'S CIRCLE PROCEDURE (to find principle plane stresses)

1) Draw a coordinate system with [math] \tau [/math] being the vertical axis and [math] \sigma [/math] the horizontal

2) Place point [math] C=\Big(\frac{\sigma_x+\sigma_y}{2},\ 0\Big) [/math] on the coordinate system

3) Place points [math] A=\big(\sigma_x,-\tau_{xy} \big) [/math] and [math] B=\big(\sigma_y,\tau_{xy} \big) [/math] on the coordinate plane. You should have a straight line at this point. This is the diameter of Mohr's circle.

4) Draw circle.

5) The angle between [math]A[/math] and the positive [math]\sigma[/math] axis is TWICE the angle between [math]\sigma_x[/math] and [math]\sigma_1[/math]

6) The radius of the circle is [math]\tau_{max}[/math]

Or, you know, you could just use the rank 2 tensor transformation law ya dingus

[eqn] \sigma'=Q\sigma Q^T [/eqn] with Q being the rotation matrix.

Or, you could use this (can handle 3D stress) https://www.desmos.com/calculator/opc1o0cwfz

>is cooking delicious food really needed
>is listening to good music really needed
>is dancing really needed
Sexual intercourse makes my life better than it would be otherwise.

>>11168365
Because the hull isn't one continuous piece of metal. Looks like a weld failed.

>>11140661
why is that touhou holding kafka's metamorphosis?