Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
5.25. Find (a) the area and (b) the moment of inertia about the y axis of the region in the xy plane bounded by y = 4 - x and the x axis. (a) Subdivide the region into rectangles as in Figure 5.1. A typical rectangle is shown in Figure 5.8. Then Required area = lim EfŠ,)Ax, k=1 = lim (4 - )Axę n kel = L (4 - x² )dx = 2 %3D 3 (b) Assuming unit density, the moment of inertia about the y axis of the typical rectangle shown in Figure 5.8 is f(5) Ax;. Then

5.25. Find (a) the area and (b) the moment of inertia about the y axis of the region in the xy plane bounded by y = 4 - x and the x axis. (a) Subdivide the region into rectangles as in Figure 5.1. A typical rectangle is shown in Figure 5.8. Then Required area = lim EfŠ,)Ax, k=1 = lim (4 - )Axę n kel = L (4 - x² )dx = 2 %3D 3 (b) Assuming unit density, the moment of inertia about the y axis of the typical rectangle shown in Figure 5.8 is f(5) Ax;. Then

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
See similar textbooks
icon
Related questions
Question

5.25) my professor says I have to explain the steps in the solved problems in the picture. Not just copy eveything down from the text.

 

Applications (area, arc length, volume, moment of inertia) 5.25. Find (a) the area and (b) the moment of inertia about the y axis of the region in the xy plane bounded by y = 4 – x and the x axis. (a) Subdivide the region into rectangles as in Figure 5.1. A typical rectangle is shown in Figure 5.8. Then n Required area = lim Ef5)Ax, n 00 k=1 = lim (4 - )Ax, n- 00 k=1 32 = L,(4 – x*)dx = 3 (b) Assuming unit density, the moment of inertia about the y axis of the typical rectangle shown in Figure 5.8 is f (5) Axy. Then Ax- 2K un (-2, 0) Šk (2, 0) Figure 5.8 Required moment of inertia = lim SGDAX, = lim š?(4 – )Ax, n 00 k=1 n-00 k=1 128 = ,r*(4 – x²)dx = 15 - X
Transcribed Image Text:Applications (area, arc length, volume, moment of inertia) 5.25. Find (a) the area and (b) the moment of inertia about the y axis of the region in the xy plane bounded by y = 4 – x and the x axis. (a) Subdivide the region into rectangles as in Figure 5.1. A typical rectangle is shown in Figure 5.8. Then n Required area = lim Ef5)Ax, n 00 k=1 = lim (4 - )Ax, n- 00 k=1 32 = L,(4 – x*)dx = 3 (b) Assuming unit density, the moment of inertia about the y axis of the typical rectangle shown in Figure 5.8 is f (5) Axy. Then Ax- 2K un (-2, 0) Šk (2, 0) Figure 5.8 Required moment of inertia = lim SGDAX, = lim š?(4 – )Ax, n 00 k=1 n-00 k=1 128 = ,r*(4 – x²)dx = 15 - X
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS