{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw8_ocw

# hw8_ocw - velocity Ω = 4 rad/sec but the pendulum is free...

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

˙ ˙ 16.61 Handout #8 Prof. J. P. How April 10, 2003 Prof. J. Deyst Due: April 17, 2003 16.61 Homework Assignment #8 1. The equations of motion of the mass on the spring pendulum in problem #1 of HW#4 are given by: r 2 θ ¨ + 2 ˙ 2 cos θ ( d + r sin θ ) = g sin θ (1) k r ¨ r ( θ ˙ 2 + Ω 2 sin 2 θ ) + ( r r 0 ) = g cos θ + d 2 sin θ (2) m Assume that m = 1, k = 2, r 0 = 1 is the undeﬂected length of the spring and r (0) = 2, r (0) = 0, θ (0) = 0 , θ ˙ (0) = 0 . 1. Use the techniques discussed in class (ODE45) to solve these equations of motion numerically for r ( t ) and θ ( t ). The arm attached to the rotating shaft has length d = 0 . 8m, as shown in the figure. The shaft is rotating with a constant angular
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: velocity Ω = . 4 rad/sec, but the pendulum is free to Look at page 6–8 of the notes. Please submit all codes for this problem by email. 2. Show that a thin disc thrown up spinning about its major axis with a small nutation angle will make two wobbles to every cycle of spin. Try it- is it true? 3. Do problem 18.66 from Beer and Johnston Vector Mechanics for Engineers . 1...
View Full 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