- #1

ParrotPete

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## Homework Statement

A body consisting of two spheres attached by a 10 meter solid long rod is rolling down a 45 degree incline at one end while rolling up a 45 degree incline on the other end.

At the instant when the connecting rod is horizontal the sphere rolling down has the velocity 2 m/s down the incline and the acceleration 3 m/s^2 down the incline. At this time, what is the velocity of the sphere rolling up and what is the angular velocity of the rod?

## Homework Equations

V

_{B}= V

_{A}+ωXr

_{B/A}

## The Attempt at a Solution

V

_{A}=2*(cos(45)*e

_{i}-sin(45)*e

_{j}

V

_{B}= V

_{B}*(cos(45)*e

_{i}+sin(45)*e

_{j})

r

_{A/B}= 10*e

_{i}

ω=ω*e

_{z}

Doing the calculations

V

_{B}cos(45) = cos(45)

V

_{B}*sin(45) = -2*sin(45)+10ω

What am I doing wrong?