Centroid Calculation Example Problem: Additive Method

The video tutorial explains how to solve a centroid problem using a Tetris block example. It covers defining shapes, calculating their areas, and determining centroid coordinates using rectangular centroid equations. The tutorial also demonstrates adjusting coordinates for the origin and using tables to verify calculations, ensuring a comprehensive understanding of the additive method for centroid calculation.

What method is being used in this video to solve the centroid problem?

• Subtractive method

• Additive method

• Multiplicative method

• Divisive method

What is the area of the top shape in the problem?

• 12

• 8

• 6

• 10

What is the total area of the combined shape?

• 24

• 30

• 18

• 36

How is the centroid in the X direction calculated for a rectangle?

• Height divided by two

• Base times height

• Base divided by two

• Height times base

What is the Y coordinate of the centroid for shape number two?

• 1

• 3

• 4

• 2

Why do we need to adjust the Y coordinate of shape number one?

• It is touching the X axis

• It is not touching the X axis

• It is on the origin

• It is below the origin

What is the significance of the origin in this problem?

• It is the highest point of the shape

• It is the reference point for all coordinates

• It is the midpoint of the shape

• It is the lowest point of the shape

What is the final X coordinate of the centroid for the combined shape?

• 2.7

• 1.5

• 3.5

• 4.0

What is the purpose of the tables constructed in the final section?

• To calculate the total area

• To find the perimeter

• To calculate the overall centroid

• To determine the volume

What is the final Y coordinate of the centroid for the combined shape?

• 1.8

• 4.2

• 2.6

• 3.0