Inertia of Momentum: Initial CG Y Coordinate

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To find the initial y-coordinate of the center of gravity for the dance floor and the three couples, apply the center of mass formula for y-coordinates. The total mass includes the mass of the dance floor (1100 kg) and the three couples (300 kg total). The calculation involves determining the weighted average of the y-coordinates of all masses involved. If difficulties arise, sharing your calculations can help others provide more targeted assistance. The key is to systematically apply the center of mass equations to solve the problem.
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Homework Statement



Given: A flat dance floor of dimensions lx = 17mbyly =15mandhasamassofM = 1100 kg. Use the bottom left corner of the dance floor as the origin. Three dance couples, each of mass m = 100 kg start in the top left, top right, and bottom left corners.
What is the initial y coordinate of the cen- ter of gravity of the dance floor and three couples?
Answer in units of m

Homework Equations



xcm: m1x1 + m2x2/m1+m2

The Attempt at a Solution


I am so lost any help would be appreciated! Thanks
 
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Hello Krobinson2851

Why don't you just apply the equation you have written down (and the equivalent one for yCM).
If you get stuck, show us what you've done.
 

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