FinalExam-Lanzara-Dec10

# FinalExam-Lanzara-Dec10 - Physics 7A- Section 2, Fall 2008....

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Physics 7A- Section 2, Fall 2008. Instructor Lanzara FINAL EXAM CLOSED BOOK GOOD LUCK! Print Name__________________________ Discussion Section# or Time ____________ Signature ___________________________ Discussion Section GSI ________________ Student ID# _________________________ Problem Points Score 1 20 2 20 3 20 4 20 5 20 6 30 TOTAL 130

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Problem 1- [20 points] Two blocks of mass m are mounted by springs of spring constant k to the center of a solid disk of mass M, radius R. These blocks are constrained to slide only radially on the disk. Initially, when the disk is at rest, the springs are at their rest length r 0 . Ignore friction. a) (7pts) If we spin this system around the rotation axis, there is a maximum angular velocity, ω max , for which the springs can supply enough restoring force to keep the two blocks moving in circular motion. Calculate ω max . b) (7pts) In reality, before reaching ω max , there is an angular velocity ω R where the blocks would reach the outer edge of the disk. Calculate ω R . c) (6pts) For a given angular velocity ω < ω R , what is the total mechanical energy of the system?
Problem 2- [20 points] A thin rod of length 2L and mass M lies flat on a frictionless plane. A small ball of mass m, traveling with velocity v 0 , strikes the rod at a distance h from the rod’s center of mass. The ball continues to move along the original line of motion after the collision (the

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## This note was uploaded on 10/17/2011 for the course PHYSICS 7A taught by Professor Lanzara during the Spring '08 term at Berkeley.

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FinalExam-Lanzara-Dec10 - Physics 7A- Section 2, Fall 2008....

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