Inertia of Momentum: Initial CG Y Coordinate

In summary, the problem asks for the initial y coordinate of the center of gravity of a dance floor with dimensions of 17m x 15m and a mass of 1100 kg, with three dance couples of 100 kg each starting in different corners. The equation to use is xcm: m1x1 + m2x2/m1+m2. If further assistance is needed, it is recommended to show the attempted solution for further guidance.
  • #1
Krobinson2851
1
0

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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  • #2
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.
 

Related to Inertia of Momentum: Initial CG Y Coordinate

1. What is inertia of momentum?

Inertia of momentum is a physical property that describes an object's resistance to changes in its velocity. It is a combination of an object's mass and its velocity, and it determines how difficult it is to change the object's motion.

2. How is inertia of momentum calculated?

Inertia of momentum is calculated by multiplying an object's mass by its velocity. The formula for inertia of momentum is:
I = m * v, where I is inertia of momentum, m is mass, and v is velocity.

3. What is the relationship between inertia of momentum and the initial center of gravity (CG) Y coordinate?

The initial center of gravity (CG) Y coordinate is the vertical position of an object's center of gravity at a specific point in time. The relationship between inertia of momentum and the initial CG Y coordinate is that the inertia of momentum determines how an object's center of gravity will move in response to external forces acting on the object.

4. How does the inertia of momentum affect an object's motion?

The inertia of momentum affects an object's motion by determining how much force is needed to change the object's velocity. Objects with greater inertia of momentum require more force to change their motion, while objects with lower inertia of momentum require less force.

5. Can the inertia of momentum of an object be changed?

The inertia of momentum of an object is a physical property that cannot be changed. It is determined by an object's mass and velocity, and these values cannot be altered without changing the object itself.

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