Recent content by chaose

shameless bump.

I'm taking a course in dynamical systems and I'm struggling to grasp some of the concepts. The instructor only occasionally reference the textbook I'm using, which is Differential Equations, Dynamical Systems, and An Introduction to Chaos 2nd Ed. (By Hirsch, Smale, and Devaney). I'm looking...

Homework Statement Integrate [e^(-x)*sin(e^x)]dx ? This is part of the work. I was actually rying to find the general solution to the differential equation y"+3y'+2y=sin(e^x) using the variation of the parameter method. Homework Equations Particular solution Y = u1(x)y1(x) +...

thanks, I believe I got it now. My end result was T^2 = (16pi^2 * r^3)/(G*(4M+m))

A triple star system consists of two stars each of mass m revoling in the same circular orbit of radius r around a central star of mass M. The two orbiting stars are always at opposite ends of a diameter of the orbit. Derive an expression for the period of the revolution of the stars. I don't...

A yo-yo shaped device mounted on a horizontal frictionless axis is used to lift a 30kg as shown. The outer radius R of the device is 0.50m, and the radius r of the hub is 0.20 m. Wen a constant horizontal force F of magnitude 140N is applied to a rope wrapped around the outside of the device...

Is there anyway to show that the limit for ((x^2)(sin y)^2)/(x^2+2y^2) exists without using the squeeze theorem? I was thinking about the episilon-delta definition of the limit.sorry, I forgot the values. limit (x,y) -> (0,0) of ((x^2)(sin y)^2)/(x^2+2y^2)

thanks. i didn't think of that

A bowler throws a bowling ball of radius R=0.11m along a lane. The ball slides on the lane with initial speed V of center of mass = 8.5 m/s and initial angular speed w = 0. The coefficient of kinetic friction between the ball and the lane is 0.21. The kinetic frictional force f acting on the...

The string is L = 1m long. Peg P is located d below the support point. When the ball is released from rest (as shown), it swings along the dashed path. WHen it catches on the peg, it swings upward but does not complete a circular path. Instead it leaves its path and strikes the peg. Part A...