144_Problem CHAPTER 9

# 144_Problem CHAPTER 9 - PROBLEM 9.119 A thin plate of mass...

This preview shows page 1. Sign up to view the full content.

PROBLEM 9.119 A thin plate of mass m has the trapezoidal shape shown. Determine the mass moment of inertia of the plate with respect to ( a ) the x axis, ( b ) the y axis. SOLUTION First note mass m V tA ρ ρ = = = ( )( ) ( )( ) 1 2 2 2 t a a a a ρ = + 2 3 ta ρ = Also mass area I tI ρ = area 2 3 m I a = ( a ) Now ( ) ( ) , area 1, area 2, area x x x I I I = + ( )( ) ( )( ) 3 3 1 1 2 2 3 12 a a a a = + 4 5 6 a = Then 4 , mass 2 5 6 3 x m I a a = × 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern