Recent content by Ecoi

Ahhhhh. Okay. Haven't finished yet, but I think I see how to reason it through now by my scratch work now. Thank you!

Homework Statement List all morphisms of addition for Z6 -> Z3. (integers mod 6 to integers mod 3) Homework Equations Definition of morphism in text: A morphism f:(X,*) -> (X',*') is defined to be a function on X to X' which carries the operation * on X into the operation *' on X', in the...

Oh okay, I think I get this problem now. I can't believe this problem caused me so much confusion. All the other problems I worked on I understood perfectly, but this one stumped me for some reason. Okay, I did: phi = (1/2)a0/b * t^2 because for angular position: theta = theta0 + w0...

I'm not getting the correct answer with what I did; I got sqrt(4a0^2 + (2v)^4 / r^2) It's in a similar format, but those coefficients there are pesky. What I did: r(t) = rsin(a0*t^2 / r)i + rcos(a0*t^2 / r)j Since w = v(tangential) / r, I realized that w = a0 * t / r and plugged...

Homework Statement A wheel of radius b rolls along the ground with constant forward acceleration a0. Show that at any given instant, the magnitude of the acceleration of any point on the wheel is (a0^2 + (v^4 / b^2))^(1/2) relative to the center of the wheel. Here v is the...