- #1

nat1

- 3

- 0

## Homework Statement

I have equations that are y

_{1}= 2sin([itex]\frac{3}{2}[/itex]x) and y

_{2}= [itex]\frac{1}{3}[/itex]x the point where they intersect is called "a" (about x≈1.88). Find the center of mass where M is the total mass of the object.

## Homework Equations

x

_{cm}= [itex]\frac{1}{M}[/itex]∫x dM

## The Attempt at a Solution

I found the vertical center of mass by using the area between the curves and setting

dm= density*thickness*(y

_{1}- y

_{2})dx

and setting

M=density*thickness*area

area is between the curves. As I am trying to find the CM along the horizontial of the object i can't figure out dm because when y>[itex]\frac{1}{3}[/itex](a) y

_{1}has two values, how can i correct for this? my first thought is to rearrange the equations to find f(y)=x and subtract the x values but i still run into the same problem.

Nat