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

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

View Full Document Right Arrow Icon
˙ ˙ 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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: velocity = . 4 rad/sec, but the pendulum is free to Look at page 68 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

Ask a homework question - tutors are online