15 22 3 36 17 (2) 60 65 ref

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question

Find the vertical location of the centroid for this shape.

y¯¯¯=

 

15
22
3
36
17
(2)
60
65
ref
Transcribed Image Text:15 22 3 36 17 (2) 60 65 ref
Expert Solution
Step 1

To find the vertical component of the centroid of the given figure we divide the shape into 3 parts as rad part blue and purple:

Now the The vertical component of the centroid will be given by the formula as:

Y=Aryr+Abyb+ApypAr+Ab+Ap

subscript r for red, b for blue and p for purple colored rectangles:

Where the yr ,yb ,  yp are the centroid of the respective rectangle.

The vertical component of the centroid of the rectangle is situated at the half of the Vertical length so:

yr = 652=32.5 yb = 172=8.5+{65 -17} = 56.5yp  =362=18+{65 -17}  = 66

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