Find the center of mass of the thin plate occupying the region D bounded by the parabola y=2-22 and the line y = z if the density at (x, y) is p(x, y) = x², Solution: Enter your answers as a fraction a/b. We first evaluate the mass of the plate: 772 The moments M, and M, of the plate about z-axis and y-axis are: M₂ = and My So, the center of mass is (2,9), where

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 73P: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and...
icon
Related questions
Question
100%
Find the center of mass of the thin plate occupying the region D bounded by the parabola y=2-2 and the line
y = z if the density at (x, y) is p(x, y) = x²
Solution:
Enter your answers as a fraction a/b.
We first evaluate the mass of the plate:
m=
The moments M, and My of the plate about z-axis and y-axis are:
M₂
and My
So, the center of mass is (2, 3), where
I=
=
=
Transcribed Image Text:Find the center of mass of the thin plate occupying the region D bounded by the parabola y=2-2 and the line y = z if the density at (x, y) is p(x, y) = x² Solution: Enter your answers as a fraction a/b. We first evaluate the mass of the plate: m= The moments M, and My of the plate about z-axis and y-axis are: M₂ and My So, the center of mass is (2, 3), where I= = =
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Rigid Body
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University