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Unformatted text preview: Homework Assignment 8 Physics 302, Classical Mechanics Fall 2010 A. V. Kotwal Handed out: Friday, November 5, 2010 Due time: Monday, November 15, 2010 Each problem is worth 20 points. Problems 1. A bar of negligible weight and length l had equal mass points m at the two ends. The bar is made to rotate uniformly about an axis passing through the center of the bar and making an angle with the bar. (a) Find the components along the principle axes of the bar of the torque driving the bar. (b) Find the components of the torque along axes fixed in space. Show that these components are consistent with those found in part (a). 2. Consider the following situations in body and inertial coordinates respectively. (a) Show that the angular momentum of the torque-free symmetrical top rotates in the body co- ordinates about the symmetry axis with an angular frequency , and find the expression for ....
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