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Unformatted text preview: ME 375 Homework 2 : Solution September 11, 2009 Problem 1 Derive the equation of motion for the system shown, state any assumptions and draw the free body diagrams. Figure 1: Problem 1 1 Solution: The free body diagram is as follows: Figure 2: Problem 1FBD Assumptions: • The spring is massless and acts as an ideal spring • The cord only moves vertical • The two disks are both fixed together and only rotate around one point O • Assume no slipping Explanation of symbols used: • x : displacement away from static equilibrium for the mass m • y : displacement away from static equilibrium for the spring • θ : the angular displacement of the disk • F s : force • F k : spring force Important Note: For all the following problem sets, when writing the equations of motion for systems involving the gravitational force, we mea sure the displacement of the mass from the equilibrium position in order to eliminate the term mg and simplify the mathematical model....
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This note was uploaded on 12/17/2009 for the course IE 383 taught by Professor Leyla,o during the Spring '08 term at Purdue.
 Spring '08
 Leyla,O

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