Question

Determine by direct integration the centroid under the curve shown, given a = 11.2 mm, b = 16.6 mm. y y=k(x-a)$^2$ b X a Centroid coordinates: x= Number Units (tolerance 0.2 mm) y = Number Units (tolerance 0.2 mm)

Name: determine by direct integration the centroid under the curve shown given a 112 mm b 166 mm y ykx a2 b x a centroid coordinates x number units tolerance 02 mm y number units tolerance 02 mm 14792
Uploaded: 2024-03-02T22:50:41-08:00
Duration: 3 min 32 s
Channel: Zack A
Description: determine by direct integration the centroid under the curve shown given a 112 mm b 166 mm y ykx a2 b x a centroid coordinates x number units tolerance 02 mm y number units tolerance 02 mm 14792

          Determine by direct integration the centroid under the curve shown, given a = 11.2 mm, b = 16.6 mm.
y
y=k(x-a)$^2$
b
X
a
Centroid coordinates:
x=
Number
Units
(tolerance 0.2 mm)
y = Number
Units
(tolerance 0.2 mm)

determine by direct integration the centroid under the curve shown given a 112 mm b 166 mm y ykx a2 b x a centroid coordinates x number units tolerance 02 mm y number units tolerance 02 mm 14792

Added by Ines R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Zack A

03/02/2024

Step 1

From the figure, when $x=0$, $y=b$. Substitute these values into the equation: $b = k(0-a)^2$ $b = k(-a)^2$ $b = ka^2$ So, $k = \frac{b}{a^2}$. Therefore, the equation of the curve is $y = \frac{b}{a^2}(x-a)^2$. The area A under the curve is given by the integral Show more…

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Determine by direct integration the centroid under the curve shown, given a = 11.2 mm, b = 16.6 mm. y y=k(x-a)$^2$ b X a Centroid coordinates: x= Number Units (tolerance 0.2 mm) y = Number Units (tolerance 0.2 mm)