Chapter 9 - Center of gravity

Question 1

What is the center of gravity?

Answer 1

A point in which a resultant force can be applied to counter act the force of gravity on that object.

Question 2

How do u find the coordinates of the center of gravity?

Answer 2

X=Sx dw/Sdw
Y=Sy dw/Sdw
Z=Sz dw/Sdw

Question 3

What is the difference between, center of gravity and center of mass?

Answer 3

Substitute dW=g dm into the center of gravity.

Question 4

What is the difference between, center of mass and centroid of volume?

Answer 4

Substitute dm=p dV into the center of mass equation.

Question 5

What is the centroid?

Answer 5

The centroid is the geometric center of a body.

Question 6

What does the formulas of the centroid represent?

Answer 6

They represent the balance between the sum of moments of all the parts of the system and the moments of the resultant for the system.

Question 7

How do you find the center of mass?

Answer 7

X=Sx dm/S dm
Y=Sy dm/S dm
Z=Sz dm/S dm

Question 8

True or false: the centroid is always located inside the object.

Answer 8

False

Question 9

When will the center of mass and centroid coincide?

Answer 9

When the density of the material is uniform throughout the object.

Question 10

How do you find the centroid of a volume?

Answer 10

X=S_v x dV/S_v dV
Y=S_v y dV/S_v dV
Z=S_v z dV/S_v dV