Geometric object with magnitude (length) and direction.

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2answers
302 views

2D - Kinematics - Linkage System using Vector Algebra

I have this question that I dont know how to solve correctly : My question is, how do I find $V_B$ ? I will find the angular velocities myself, but I want to know the method to get $V_B$ ? I know ...
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1answer
103 views

Utilizing maximum acceleration $a$ for displacement $d$ with initial velocity $v_0$ and final velocity $v_1$

Problem My goal is to move an object from point a to b (displacement $d$) as fast as possible utilizing the maximum available acceleration $a_{max}$, taking into account the initial velocity $v_0$ ...
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0answers
75 views

Surface normal on the earth to the sun at a given point in time

How complicated is it to calculate a surface normal on the spherical approximation of the earths surface pointing towards the sun at a given point in time? What I try do is to highlight a small area ...
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0answers
80 views

Phonon vectors and characteristic length interpretation

Basically I have a set of vectors of unit length, $\{\nu_i\}$, describing the movement of phonons (all orthogonal to each other), $\{\omega_i\}$. Lets say I only have two atoms, $m_1$ and $m_2$. In ...
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44 views

Vector identities equivalence under different coordinates

I've learned to represent curl, rot and Laplacian in the general form using scaling factors, Levi Civita symbol and delta. I was asked to prove some general identities in vector calculus. I was ...
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0answers
64 views

Laue diffraction/equations: Path difference, why a minus sign and not a plus?

The Laue diffraction (that reduces to the Bragg refraction in the end) has for the path difference of the incoming and outgoing beam $$\Delta s = \vec R \cdot ( \vec k_0/k_0 - \vec k^\prime/k^\prime ...
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62 views

How to find the directional cosines?

l+m+n=0 where l,m,n are the directional cosines of a point P in the x,y,z plane. How do I find the angles the radius vector makes with the axes. I get two equations l+m+n=0 and l^2+m^2+n^2=1. But how ...