Consider a lamina occupying the region R and having the density function p. Use a computer algebra system (CAS) to answer the following questions. R is the triangular region with vertices (0, 0), (1, 1), and (0, 7); p(x, y) = x+y. (a) Find the moments M, and M, about the x-axis and y-axis, respectively. MX My-20.125 (b) Calculate the center of mass of the lamina. (x,y)- (c) Use a CAS to locate the center of mass on the graph of R. 5 6 5 5 5 4 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 0.8 1.0
Consider a lamina occupying the region R and having the density function p. Use a computer algebra system (CAS) to answer the following questions. R is the triangular region with vertices (0, 0), (1, 1), and (0, 7); p(x, y) = x+y. (a) Find the moments M, and M, about the x-axis and y-axis, respectively. MX My-20.125 (b) Calculate the center of mass of the lamina. (x,y)- (c) Use a CAS to locate the center of mass on the graph of R. 5 6 5 5 5 4 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 0.8 1.0
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.11P
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![Consider a lamina occupying the region R and having the density function p. Use a computer algebra system (CAS) to answer the following questions.
R is the triangular region with vertices (0, 0), (1, 1), and (0, 7); p(x, y) =x+y.
(a) Find the moments M, and M, about the x-axis and y-axis, respectively.
Mx-
M.-20.125
(b) Calculate the center of mass of the lamina.
(x,y) =
(c) Use a CAS to locate the center of mass on the graph of R.
6
6
5
5
4
2
3
0.2
0.4
0.6
0.8
0.2
04
0.6
0.8
1.0 O
0.2
0.4
0.6
0.8
1.0
0.2
0.6
0.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a71d77d-1ff7-4a05-9093-024da52df32b%2F0f873324-cd4a-49ab-b4b5-ea3d7fdfc928%2Fkd2km8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a lamina occupying the region R and having the density function p. Use a computer algebra system (CAS) to answer the following questions.
R is the triangular region with vertices (0, 0), (1, 1), and (0, 7); p(x, y) =x+y.
(a) Find the moments M, and M, about the x-axis and y-axis, respectively.
Mx-
M.-20.125
(b) Calculate the center of mass of the lamina.
(x,y) =
(c) Use a CAS to locate the center of mass on the graph of R.
6
6
5
5
4
2
3
0.2
0.4
0.6
0.8
0.2
04
0.6
0.8
1.0 O
0.2
0.4
0.6
0.8
1.0
0.2
0.6
0.8
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