{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Analytical Mech Homework Solutions 118

# Analytical Mech Homework Solutions 118 - 16 a a 2b 2b a b...

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

16 so that ( ) ( ) 2 2 a b a b α φ = and + + ( ) ( ) 2 2 a a b b a b α β + = + After some algebra … the angular velocity of B is found to be … 2 B a b α ω β α φ = + = ± ± ± ± For , we take moments about O and for A B we take moments about its center. Call T and T the components of the reaction forces tangent to and A B A B (the “upward-going” T acts on disk A B . The “downward-going” acts on disk A) A T Thus K T A A a I α = ±± (Torque on Disk A) ( ) 2 A B B B T b T b I I a b α β α φ = − + = − ±± ±± ±± ±± (Torque on Disk B) ( ) ( ) 1 2 A B B B T T M a b M a α φ = + = ±± ±± ±± α (Force on Disk B) Eliminate T and A B T ( ) 2 2 2 2 4 4 A B B K b I M a b a b 2 I α = +
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