Question

In (Figure 1), take b = 9 in. and h = 19 in. Locate the centroid $\bar{y}$ of the area. Express your answer to three significant figures and include the appropriate units. $\bar{y}$ = Value Units Submit Request Answer Provide Feedback Figure <1 of 1 > $y = \frac{h}{b^2}x^2$ b h ---

Name: in figure 1 take b 9 in and h 19 in locate the centroid bary of the area express your answer to three significant figures and include the appropriate units bary value units submit request an 17051
Uploaded: 2024-02-11T01:39:59-08:00
Duration: 1 min 24 s
Channel: Ivan Kochetkov
Description: in figure 1 take b 9 in and h 19 in locate the centroid bary of the area express your answer to three significant figures and include the appropriate units bary value units submit request an 17051

          In (Figure 1), take b = 9 in. and h = 19 in.
Locate the centroid $\bar{y}$ of the area.
Express your answer to three significant figures and include the appropriate units.
$\bar{y}$ =
Value
Units
Submit Request Answer
Provide Feedback
Figure
<1 of 1 >
$y = \frac{h}{b^2}x^2$
b
h
---

in figure 1 take b 9 in and h 19 in locate the centroid bary of the area express your answer to three significant figures and include the appropriate units bary value units submit request an 17051

Added by Kimberly H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

02/11/2024

Step 1

The area of the region is given by $A = \int_0^b \frac{h}{b^2}x^2 dx = \frac{h}{b^2} \int_0^b x^2 dx = \frac{h}{b^2} \left[ \frac{x^3}{3} \right]_0^b = \frac{h}{b^2} \frac{b^3}{3} = \frac{1}{3}bh$. The y-coordinate of the centroid is given by $\bar{y} = Show more…

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In (Figure 1), take b = 9 in. and h = 19 in. Locate the centroid $\bar{y}$ of the area. Express your answer to three significant figures and include the appropriate units. $\bar{y}$ = Value Units Submit Request Answer Provide Feedback Figure <1 of 1 > $y = \frac{h}{b^2}x^2$ b h ---