Find the centre of mass of the 2D shape bounded by the lines y = +1.5x between a = 0 to 1.5. Assume the density is uniform with the value: 3.1kg. m 2 Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.9kg. m (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: 5) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the centre of mass of the 2D shape bounded by the lines y = 1.5x between x = 0 to 1.5. Assume the density is uniform with the value:
3.1kg. m-2.
3
Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.9kg. m-³.
(Give all your answers rounded to 3 significant figures.)
a)
Enter the mass (kg) of the 2D plate:
Enter the Moment (kg.m) of the 2D plate about the y-axis:
Enter the x-coordinate (m) of the centre of mass of the 2D plate:
b)
Enter the mass (kg) of the 3D body:
Enter the Moment (kg.m) of the 3D body about the y-axis:
Enter the x-coordinate (m) of the centre of mass of the 3D body:
Transcribed Image Text:Find the centre of mass of the 2D shape bounded by the lines y = 1.5x between x = 0 to 1.5. Assume the density is uniform with the value: 3.1kg. m-2. 3 Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.9kg. m-³. (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: b) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:
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