One-Eared Cat: A Centroid Sample Problem

The video tutorial explains how to calculate the centroid of a composite 2D shape using a square and a triangle. It covers identifying shapes, calculating their areas, determining the center of mass, and converting centroid coordinates. The tutorial also includes completing tables for final calculations, providing a comprehensive guide to solving centroid problems.

What is the first step in solving a centroid problem using the additive method?

• Convert the centroid coordinates

• Identify the shapes involved

• Determine the center of mass

• Calculate the areas of the shapes

Which method involves adding the areas of multiple shapes to find the centroid?

• Subtractive method

• Multiplicative method

• Additive method

• Divisive method

How do you calculate the area of a triangle?

• Base divided by height

• Base plus height

• 1/2 base times height

• Base times height

What is the area of a square with a base of 5.5 inches and a height of 6 inches?

• 33 square inches

• 28 square inches

• 30 square inches

• 36 square inches

How is the center of mass for a rectangle calculated?

• Height divided by four

• Base divided by two

• Height divided by three

• Base divided by three

What adjustment is needed for the Y coordinate of a triangle's centroid when it is placed on top of a rectangle?

• Divide by the rectangle's height

• Subtract the rectangle's height

• Add the rectangle's height

• Multiply by the rectangle's height

What is the converted X coordinate for a triangle's centroid if the triangle is flipped?

• Subtract the base from the original X coordinate

• Add the base to the original X coordinate

• Subtract the original X coordinate from the base

• Multiply the base by the original X coordinate

What does the Greek letter Sigma represent in centroid calculations?

• Sum

• Difference

• Quotient

• Product

How do you find the X coordinate of the overall centroid?

• Divide the sum of YI times AI by Sigma AI

• Subtract Sigma AI from the sum of XI times AI

• Divide the sum of XI times AI by Sigma AI

• Multiply the sum of XI times AI by Sigma AI

Why should the Y centroid be closer to the top in this example?

• Because the rectangle is on the bottom

• Because the triangle is heavier

• Because the triangle is on top

• Because the rectangle is larger