Question

I am trying to calculate the center of mass on a project I am building but I'm kind of lost on how to figure it out.
The overall length is 159.5" and width is 52", overall weight is 90lbs with a weight of 175lbs 54" from the left and 80lbs 82.5" from left.
Can you help me figure this out?

Answer 1

In Newton's Physics overall weight cannot exceed sum of partial weights. I guess 175 lbs is a misprint of 75 lbs.

Task:

Calculate the center of mass. The overall length is 159.5" and width is 52", overall weight is 90 lbs with a weight of 75 lbs 54" from the left and 80 lbs 82.5" from left.

Solution:

$$x _ {c} = \frac {\sum_ {i} x _ {i} m _ {i}}{\sum_ {i} m _ {i}}$$ $$y _ {c} = \frac {\sum_ {i} y _ {i} m _ {i}}{\sum_ {i} m _ {i}}$$ $$\sum_ {i} m _ {i} = 9 0 l b s$$

Since $C_3$ is undetermined, the center of mass of the whole object is undetermined

Answer:

The center of mass of the whole object is undetermined