Analytical Mech Homework Solutions 22

Analytical Mech Homework Solutions 22 - CHAPTER 3...

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

View Full Document Right Arrow Icon
CHAPTER 3 OSCILLATIONS 3.1 ( ) [ ] 1 0.002sin 2 512 x s t m π = ( )( )( ) max 0.002 2 512 6.43 m m x s s π = = ± ( )( ) ( ) 2 2 4 max 2 2 0.002 2 512 2.07 10 m m x s s π = = × ±± 3.2 0.1sin x t ω = D [ m ] 0.1 cos m x t s ω ω = D D ± When t = 0, x = 0 and 0.5 0.1 m x s ω = = D ± 1 5 s ω = D 2 1.26 T s π ω = = D 3.3 ( ) cos sin x x t x t t ω ω ω = + D D D D ± D and 2 f ω π = D ( ) ( ) [ ] 0.25cos 20 0.00159sin 20 x t t π π = + m 3.4 ( ) cos cos cos sin sin α β α β α = + β ( ) cos cos cos sin sin x A t A t A t ω φ φ ω φ = = + D D ω D cos sin x t t ω ω = Α + Β D D , cos A φ Α = , sin A φ Β = 3.5 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 mx kx mx kx + = + ± ± 2 ( ) ( ) 2 2 2 2 1 2 2 1 k x x
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern