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Unformatted text preview: Physics 40B W08 Midterm II Exam A Name_____ Solutions __________ February 19, 2008 Signature______________________ I. D. Number: XXX-XX-_________ Closed Book and Notes All books, backpacks etc. on floor All cell phones off and out of sight No Extra paper allowed—Show all work on test papers All calculators are okay Tear off back formula sheet if convenient Problem 1(40 points): Two blocks ( m = 1.0 kg and M = 10 kg ) and a spring ( k = 200 N/m ) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.40. Part A (15 points): The lower block is initially pulled a distance of 10 cm from its equilibrium position at x = 0 and released from rest. Assuming that the two blocks move together (that is, the friction force between the two blocks is sufficient that the two blocks don’t slide relative to each other), what are the angular frequency ( ω ) , the frequency (f), the period (T), and the amplitude (A) of the resulting simple harmonic motion? Part B (10 points): What is the maximum speed, v max , of the oscillation system of blocks? Where are the blocks when they have this speed? v max = ωΑ = (4.26)(0.10) = 0.426 m/s The maximum speed occurs at x = 0 (equilibrium position) Part C (15 points): What larger amplitude of simple harmonic motion of the spring-block system puts the larger block on the verge of sliding out from under the smaller block?...
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This note was uploaded on 06/18/2008 for the course PHYS 40B taught by Professor Johnellison during the Spring '08 term at UC Riverside.
- Spring '08