- #1

LaplacianHarmonic

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**1. The problem statement, all variables**

Ferris wheel 1 has constant angular velocity A with radius M described by parametric equations

X=Mcos(At)

Y=Msin(At) + M

Ferris wheel2 has constant angular velocity of B with radius N described by parametric equations

X= Ncos(Bt) + H

Y=Nsin(Bt) + N

At what time are the two point on each Ferris wheel right on top of each other if these two points start at angle 0 for both Ferris wheels?

## Homework Equations

Parametric equations for the two Ferris wheels

## The Attempt at a Solution

When the two points of each Ferris wheel intersect, the x and y coordinates for that point of intersection are the same from each Ferris wheel.

I equated the times for x coordinates of Ferris wheel 1 and Ferris wheel 2. Help me