Center of Mass Finding the COM of a system. The X and Y coordinates of 3 segment

ID: 1519648 • Letter: C

Question

Center of Mass

Finding the COM of a system. The X and Y coordinates of 3 segments and the masses of each segment are given below.

The X Coordinate is calculate using:

X = m1x1 + m2x2 + m3x3

m1 + m2 + m3

Use the same equation for Y, but substitute the y coordinates.

So X = -2.5 and Y = 1.5. The COM of this system lies at (-2.5, 1.5)

Find the coordinates for the center of mass of the lower leg with the following points.

Draw the coordinate system and sketch the leg and the calculated COM.

Calf COM coordinates: -8, 7

Calf weighs 20 N

Foot COM coordinates: 3, -5

Foot weights 10N

The X Coordinate is calculate using:

X = (m1x1 + m2x2) / (m1 + m2)

Y = (m1y1 + m2y2) / (m1 + m2)

X = (20*(-8) + 10*3) / 30 = -4.3

Y = (20*(7) + 10*(-5)) / 30 = 3

COM (X,Y) = (-4.3, 3)

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