how to find the centroid of the two dimensional composite shape?

Engineering
Tutor: None Selected Time limit: 1 Day

Sep 1st, 2015

Hi there! Thank you for the opportunity to help you with your question!

First, the centroid of a composite shape is equal to the weighted average of the centroid of the simple shapes. The centroid of a square (left part of the figure), is the midpoint position (5,5).

Now we look at the triangle, which has base= 8 and height = 10. The centroid of a right triangle is (b/3,h/3) if the triangle's right-angle vertex is at the origin. Since the vertex is at (10,0), the centroid is:

(10+8/3, 10/3)

Now we need to take the weighted average:

x_centroid = (38/3*40 + 5*100)/140 = 7.19    [this formula is centroid_triangle*area_triangle + centroid_square*area_square, all divided by total area

y_centroid = (10/3*40 + 5*100)/140 = 4.52

So the centroid is at (7.19, 4.52) inches

Please let me know if you need any clarification. Always glad to help!
Sep 1st, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Sep 1st, 2015
...
Sep 1st, 2015
Dec 3rd, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer