the vertices of a triangle are 0, and the points A (a, 0) and B (0,a) where a>0.
the point P moves in the plane OAB such that OP square + AP square + BP square = k square, where k is a positive constant. show that k mst be bigger than (2/3)a X square root of 3
i tried. but can't even know...
Ok, so if a ball is thrown vertically upward with velocity v on the Earth's surface. (Air resistance being neglected). I have to show that the ball lands a distance (4wsin(beta)v^3/3g^2) to the west where w is the angular velocity of the Earth's rotation and beta is the colatitude angle...
Does anyone know of an “Idiot’s Guide to Coordinate Transforms…”, or good rules of thumb to employ to determine the “proper” set of coordinates for a particular problem? I’m not really having any trouble with the mathematical machinery like finding the Jacobian, etc.; my problem is actually...
A baseball bat of length 1.05 cetimeters has a lenear density given by l=.950 + 1.050x^2/l^2 find the x cooridinate of the center of mass in centimeters.
How am I supposed to work this problem?
Hi all, I'm trying to solve Exercise 1.4.3 in Foster & Nightingale's "A Short Course in General Relativity."
The question essentially provides the metric for Euclidean space in spherical coordinates and the matrix representing the coordinate transformation from spherical to cylindrical...
I'm trying to understand the manifold properties of world-sheets in string theory. I'm told that world sheets are manifolds and that manifolds are locally Euclidean. So I would like to know the characteristics between the space-time coordinates of the world-sheet given as xμ verses the 2D...
Greeting
A TA has got me very and utterly confused. He won't be avaible for a few days, so I'm asking you guys.
Consider the transformation to cilindrical coord.
x-->r.con[the]
y-->r.sin[the]
z-->z
I have the Jabobian (no problems here).
He then asks the differential da , where a...