Recent content by rhythmiccycle

Mikey w, thank you so much. Your example makes sense. i now see the apparent contradiction between math and physics is that math examples take the density as 1, but in the case ofa Wire, density equal m over the length of the wire, then the answers are consistent. Thank you

Thanks a lot. I need some time to digest this. I'll let you all know how it goes. Thanks again

I'm trying to answer: http://ocw.mit.edu/courses/physics/8-03-physics-iii-vibrations-and-waves-fall-2004/assignments/ problem set 1 # 1.6 there is an answer provided, but he assumes that the rod is the same as two pendulums. I'm trying to solve it directly using a line integral as the path...

I'm thinking x= R cos(t), y= R sin(t) is a circle when t goes from 0 to 2Pi. at all times the distance from axis is r, and so r^2 = x^2 + y^2 I thin this is the formula: ∫i(x[t]^2 + y[t]^2)*√( x'[t]^2 + y'[t]^2) dt because above it says: "The moments of inertia about the x-axis, y-axis and...

thanks for the replies that helps, but i found another answer some where else: I found an equation here http://www.math24.net/physical-applications-of-line-integrals.html that looks like what I want, but that equation says the same circle around the z axis would have a moment of inertia of...

I'm trying to understand Moment Of Inertia using integration. But it seems the calculus definition of physics definition are different. (I'm trying to apply my math skill to physics) example of apparent contradiction: here:http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html#mi it says the...

consider the attached triangle picture (sorry its sloppy) in that case Sin(theta) = x (hypotenuse is 1, opposite is x) thus sin^-1(x) = theta. For that same theta, using a^2 + b^2 = c^2... x^2 + b^2 = 1^2 b^2 = 1-x^2 b = sqrt( 1 - x^2) and cos(theta) = adj / hyp so, cos(theta)...

go here: integrals.wolfram.com/index.jsp and enter sqrt[(a*x+b)/x] into the text box

here is the pseudo java (processing) code I'm trying to run float x0,y0,x,y,t; x0 = 2; //arbitrary value y0 = 5; //arbitrary value x = x0; y = y0; for(int t = 1; t <= 100; t++){ //one hundred iterations t =atan2(y,x); x += cos(t); y += sin(t); print( x...