Recent content by saul goodman

Thank you for the help!

I=mr2 for a particle rotating about an axis, so unless I'm missing something the moment of inertia is simply I=mR^2 for Alice? (which is what I wrote in my previous post)

Okay thanks a lot. Well if we do it like that I get: Kinetic energy for Alice: T=0.5 m R`2 + 0.25 m R2 θ`2 Kinetic energy for the merry go round: T = 0.5 m a2 θ`2 + 0.25 m a2 θ`2 = 0.75 m a2 θ` Although I'm not confident with these answers. In my notes kinetic energy in a system is defined...

Homework Statement Q) A child, Alice, on a playground merry-go-round can be modeled as a point mass m on a homogeneous horizontal disc of mass M and radius a. The disc rotates without friction about a vertical axis through its center. Alice clings to a straight railing that extends from the...

The question asks me to consider the system of differential equations: \frac{dx}{dt} = 1 - 2x + x^2y \frac{dy}{dt} = x-x^2y It asks me to find the fixed point(s), and determine their stability, also to draw the phase plane. So to find the fixed points, I set both equations equal to...