All Questions
5
questions
0
votes
1
answer
182
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Expressing $\phi$ and $\theta$ in terms of time difference of arrival
I have an experimental setup consisting of three receivers with known locations $\langle x_i, y_i, z_i \rangle$, and a transmitter with unknown location $\langle x,y,z \rangle$ emitting a signal at ...
0
votes
3
answers
7k
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Pendulum with moving support
Consider a mass $m$ connected to an oscillating pivot by a massless rod of fixed length $l$. The pivot is located at $(x_0(t), 0)$, where $x_0(t)=A_0\cos(\omega_0t)$. The $y$-axis is positive ...
3
votes
3
answers
2k
views
Differential length of a logarithmic spiral
I am working on a problem that asks to find the magnetic field at the origin of a logarithmic spiral $r = e^\theta$ from $\theta = 0$ to $\theta = 2\pi$, where the angle $\theta$ is measured ...
2
votes
1
answer
536
views
Moment of inertia of a circle
A wire has the shape of the circle $x^2+y^2=a^2$. Determine the moment of inertia about a diameter if the density at $(x,y)$ is $|x|+|y|$
Thank you
2
votes
0
answers
2k
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Parametrization of square to calculate Dot-product in line-integrals and area-integrals, electric field from $\frac{dB}{dt}$?
I am calculating 3A of Tfy-0.1064 in Aalto University. I realized here that I am misunderstanding something in vector calculus: the thing market in green particularly.
I know
$$\nabla\times E= -\...