Find Ix and weight center G 2)I=? G=?G - ?Parabole degré 2

The parabolic curve equation y=Kx2 y=h, x=b h=Kb2 K=h/b2 y=hb2x2

Answered: 2) In= ? G - ? Parabole degré 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

Find I_x and weight center G

Expert Solution

Step 1

The parabolic curve equation

y=Kx²

y=h, x=b

h=Kb²

K=h/b²

$y = \frac{h}{b^{2}} x^{2}$

Step 2

To find out the COG from the x-axis

$\bar{x} = \frac{\int x d A}{\int d A} d A = y d x = \frac{h}{b^{2}} x^{2} d x d A = \int_{0}^{b} \frac{h}{b^{2}} x^{2} d x = \frac{h}{b^{2}} [\frac{b^{3}}{3}] = \frac{b h}{3} \int_{0}^{b} x d A = \int_{0}^{b} \frac{h}{b^{2}} x^{3} d x = \frac{h}{b^{2}} [\frac{b^{4}}{4}] = \frac{b^{2} h}{4} \bar{x} = \frac{\frac{b^{2} h}{4}}{\frac{b h}{3}} = \frac{3 b}{4}$

Step by step

Solved in 4 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions