For the laser-cut plate shown as the shaded area shown in the first diagram below, calculate the Moment of Inertia about the x-axis. Given: a = 30 mm, b = 35 mm, r = 30 mm For the solution of this problem, the plate may be considered to be a composite shape made of the positive area of the rectangle (1) and negative areas of the quarter circle (2) and triangle (3) as shown (2) DA (1) (3)
For the laser-cut plate shown as the shaded area shown in the first diagram below, calculate the Moment of Inertia about the x-axis. Given: a = 30 mm, b = 35 mm, r = 30 mm For the solution of this problem, the plate may be considered to be a composite shape made of the positive area of the rectangle (1) and negative areas of the quarter circle (2) and triangle (3) as shown (2) DA (1) (3)
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter15: Experimental Methods
Section: Chapter Questions
Problem 5CQ
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For the laser-cut plate shown as the shaded area shown in the first diagram below, calculate the
Moment of Inertia about the x-axis.
Given: a = 30 mm, b = 35 mm, r = 30 mm
For the solution of this problem, the plate may be considered to be a composite shape made of the
positive area of the rectangle (1) and negative areas of the quarter circle (2) and triangle (3) as
shown
(2)
(1)
(3)
a. Enter the Moment of Inertia of the quarter circle (2) about its
own centroidal x-axis, I:
b. Enter the Moment of Inertia of the quarter circle (2) about
the x-axis, Ix:
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