- #1
yaro99
- 75
- 0
Homework Statement
Homework Equations
ƩxiLi=0
The Attempt at a Solution
Using geometry to find the lengths and rotating so AB is horizontal, I have:
ƩxiLi=0: [((64/80)*L)/2]*L + (-64/2)*80 + (-14/2)*100 = 0
L = 90.28mm
I'm not getting the 14/2 factor. Everything else looks good to me.yaro99 said:ƩxiLi=0: [((64/80)*L)/2]*L + (-64/2)*80 + (-14/2)*100 = 0
TSny said:I'm not getting the 14/2 factor. Everything else looks good to me.
TSny said:But why divide the 14 by 2?
The centroid of a wire is the point at which the wire would balance if it were suspended from that point. It is also known as the center of mass or center of gravity.
The centroid of a wire can be calculated by finding the average of all the individual points along the wire. This is typically done by dividing the sum of the coordinates by the number of points.
Calculating the centroid of a wire is important in understanding the balance and stability of an object or structure. It can also be used to determine the orientation and distribution of forces acting on the wire.
The shape and weight distribution of the wire are the main factors that can affect its centroid. Any changes to the shape or distribution of mass along the wire can alter its centroid.
The centroid of a wire is used in various fields such as engineering, architecture, and physics. It is used to determine the balance and stability of structures, as well as in the design of machines and devices that require precise balance. It is also used in analyzing the movements and forces of objects in motion.