Recent content by scotty_le_b

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    Why must this expression for the curl be wrong?

    Hi, So I used the formula ##\nabla \times(\mathbf{c}\times\mathbf{r}) = (\nabla \cdot \mathbf{r})\mathbf{c}+(\mathbf{r}\cdot\nabla)\mathbf{c}-(\nabla\cdot\mathbf{c})\mathbf{r}-(\mathbf{c}\cdot\nabla)\mathbf{r}##. Then the terms where ##\nabla## acts on ##\mathbf{c}## will be zero since...
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    Why must this expression for the curl be wrong?

    Homework Statement Without explicit calculation, argue why the following expression cannot be correct: $$\nabla \times (\mathbf{c} \times \mathbf{r}) = c_{2}\mathbf{e_{1}}+c_{1}\mathbf{e_{2}}+c_{3}\mathbf{e_{3}}$$ where ##\mathbf{c}## is a constant vector and ##\mathbf{r}## is the position...
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    Change of boundaries for an integration by substitution....

    Sorry that's a typo it should read ##\frac{\pi}{8}## in the question not ##\frac{\pi}{2}##. Ah yeah of course that makes perfect sense. Thank you so much!
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    Change of boundaries for an integration by substitution....

    Homework Statement Let: ##I=\int _{-1} ^{1}{\frac{dx}{\sqrt{1+x}+\sqrt{1-x}+2}}## Show that ##I=\int_{0}^{\frac{ \pi}{8}}{\frac{2cos4t}{cos^{2}t}}## using ##x=sin4t##. Hence show that ##I=2\sqrt{2}-1- \pi## Homework EquationsThe Attempt at a Solution The substitution is ##x=sin4t## which...
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    Solving hyperbolic trigonometric equations

    Homework Statement Show that the real solution ##x## of $$tanhx=cosechx$$ can be written in the form ##x=ln(a \pm \sqrt{a})## and find an explicit value for ##a##. Homework Equations $$cosh^{2}x-sinh^{2}x=1$$ $$coshx=\frac{e^{x}+e^{-x}}{2}$$ The Attempt at a Solution I reduced the original...
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    Question using the Sine Rule and Bearings

    I've got it now there was angle missing from the diagram :L
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    Question using the Sine Rule and Bearings

    Homework Statement 3 towns are located at D,F & E; the vertices of an scalene triangle. The bearing of F from D is 48 degrees. D to E=640m and E to F=430m. Point G is located at the end of a south line at F. a)i)Find angle DFG ii) Find angle GFE iii) Find angle DFE b) Calculate angle...
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    Schools Universities in Scotland: Physics

    In Scotland St Andrews has one of the best reputations for physics but on their website they only list astrophysics, condensed matter and photonics as research fields. Edinburgh also has a good reputation and it does do research in particle physics. I've also heard that Strathclyde has a very...
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    Is it possible for a program to open/close a circuit?

    Sorry about that I did mean by sending the signal. Thanks :)
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    Is it possible for a program to open/close a circuit?

    I just wondered if someone could programme a computer to, when certain data is inputted, open or close a circuit?
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    Angular forms of acceleration, velocity and displacement

    I have been going through my equations and writing them up on the computer so I can refer to that when needed and have go to angular acceleration, velocity and displacement equations yet I don't have very many equations for those topics and I wondered if anyone had some equations for finding...
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    Is the Gravitational Acceleration on Jupiter Different from Calculated Values?

    I was wondering what would g equal on Jupiter if you could stand on its surface? I wrote a computer programme (my 1st one) to work g out anywhere and when i plugged in the numbers for Earth it gave me 9.799 which is correct and for Jupiter it gave me 24.778 but when I looked it up I kept finding...
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    Potential Energy and the Conservation of Energy

    What I meant by that it was moved up to say a shelf then on the shelf it was not moving. Sorry
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    Potential Energy and the Conservation of Energy

    Would I be right in saying the following: Potential energy arises from the conservation of energy. To lift a mass you must exert a force counteracting the force of gravity. As it moved and a force was exerted work was done on it. As it is not moving it has no kinetic energy. Due to the...
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