Where is the center of mass of a segment in space if the proximal end is at (213, 400) and the distal end is at (378, 445) and the center of mass is 42.9% from the proximal end of the segment

(213.8, 419.3)

Step-by-step explanation:

The center of mass is the point at which the sum of the weights relative to each other is zero. The weight distribution is balanced around the mass, and the average of the mass position coordinates of the scattered weight defines its coordinates. Calculations in mathematics are simplified when formulated according to the center of mass.

For finding the place of the center of the mass we should use the formulas below for X AND Y points:

Segment CM X Position = X proximal + A*(Xdistal - Xproximal)

Segment CM Y Position = Y proximal + A*(Ydistal - Yproximal)

A is the percentage of how much the center of mass is from proximal end.

We have:

Proximal X=213

Proximal Y=400

Distal X=378

Distal Y=445

and the percentage of the distance to proximal end, A=42.9%

Segment Central of mass for X is:

CM X = X proximal + A*(Xdistal - Xproximal)=213+0.429*(378-213)=213.8

CM Y= Y proximal + A*(Ydistal - Yproximal)=400+0.429*(445-400)=419.3

So we found that the point on the space for the center of mass is (213.8, 419.3)