a11f08

# a11f08 - the coordinate axes Calculate the inertia tensor...

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

PHY 4938 HOME AND CLASS WORK – SET 8 (November 21, 2011) (32) Assume R = 1 meter in the previous problem and plot the velocity versus the angle θ over two periods (for both cases A. and B.). Due November 28 before class (4 points). (33) The angular velocity of a symmetric top can be written as Ω = Ω pr + Ω * 3 = Ω pr ˆ M + Ω * 3 ˆ x 3 where ˆ M is the unit vector in direction of the angular momentum M and ˆ x 3 the unit vector of the x 3 axis, Ω pr = M/I 1 . Compare figure 46, p.107 of Landau- Lifshitz. Express Ω * 3 in terms of M, I 1 , I 3 and θ , all defined in the book. Due in class (4 points). (34) Inertia tensor of a homogeneous cube of density ρ , mass M , and side length b . 1. Let one corner be at the origin and let the three adjacent edges lie along
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: the coordinate axes. Calculate the inertia tensor with respect to these axes. Due November 30 before class (4 points). 2. Use the parallel axis theorem to ﬁnd the inertia tensor for axes through the center of mass, which are parallel to the axes used in part 1. Due November 30 before class (4 points). 3. Is the cube a spherical top? Due November 30 before class (2 points). (35) Express the angular velocity components in Euler angles with respect to the axis of the ﬁxed (lab) frame, i.e., Ω X , Ω Y , Ω Z . Due December 2 before class (6 points)....
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