Hi, I'm looking for the best book in which I can learn very well electromagnetism. I have good notions of all mathematics till differential equations. Furthermore I basically know analytical mechanics (I have studied on the Landau's Mechanics) and special theory of relativity.
Thanks in...
Hi to all,
Let A^{ik} be an antisymmetric tensor of rank 2; Why is A^{*ik}=1/2e ^{iklm}A_{lm} defined its dual? e^{iklm} is the completely antisymmetric unit tensor.
Furthermore, e^{iklm} is a pseutotensor, what does it mean? Conversely, why the product e^{iklm} e_{prst} is a true tensor...
Let O(X,Y) be a frame of reference with origin in the jumper. The equations of velocity and space in function of time are:
Velocity:
v_x=v_o cos\theta
and
v_y=v_o sin\theta + g*t
Space
s_x=v_o cos\theta * t +s_{ox}
and
s_y=\frac{1}{2}g*t^2 + v_o * sin \theta + s_{oy}
I...
Angular velocity and vectors...
Homework Statement
Given the following vectors:
\vec A=\hat i +\hat j - 2\hat k and \vec C=\hat j - 5\hat k
Let \vec A and \vec C be drown from a common origin and let \vec C rotate about \vec A with angular velocity \vec w of 2 \frac{rad}{s}. Find...
\frac{d(\vec{V}\times \frac{d\vec{V}}{dt})}{dt} = \vec{V}\times \frac{d^2\vec{V}}{dt^2} + \frac{d\vec{V}}{dt} \times \frac{d\vec{V}}{dt} = \vec{V}\times \frac{d^2\vec{V}}{dt^2}
so result of the integral is \vec{V}\times \frac{d\vec{V}}{dt}, is it exact? :)
Yeah, sorry. Really the integral was
\int (\vec{V}\times \frac{d^2\vec{V}}{dt^2}) \,dt
In fact it includes a vector as a result of the cross product whose components are function of t. Does anybody have any idea?
Homework Statement
If {\vec{V}(t) is a vector function of t , find the indefinite integral:
\int (\vec{V}\times \frac{d^2\vec{V}}{dt^2}) \,dt
Homework Equations
The Attempt at a Solution
I have solved it by decomposing and integrating each terms of vector \vec{V}\times \frac{d^2t}{dt^2}...
You can use a frame of reference (X,Y) with origin (0,0) in the cliff and the point P(0,s_{oy}) is where the projectile will be thrown.
Equation of motion respect to X and Y are:
\begin{align*}
s_x=v_ox*t + s_{ox}\\
s_y=\frac{1}{2} * g * t^2 + v_{oy}*t+s_{oy}
\end{align*}
but in according to my...
Hi folk, I have intention to study quantum mechanics as self-educated and so not as exam material. In order to do that, I wold know which are fundamental mathematics knowledge that one should need? I've a bachelor degree in computer science engineering and so I already have knowledge about...