Homework4a.spring11 - write the rolling constraint equation...

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ME 352 - Machine Design I Name of Student __________________________ Spring Semester 2011 Lab Section Number ______________________ Homework No. 4 (30 points). Due at the beginning of lecture on Friday, February 11th. Consider Problem 3.29, see Figure P3.29, page 162, of the text book. In addition to determining the magnitude and direction of the angular velocity of the oscillating follower (that is, link 4) also determine the magnitude and direction of the angular velocity of the roller (that is, link 3). To solve this problem use the following two methods: (i) The method of kinematic coefficients. Clearly document your solution to the position analysis problem. Then clearly show all the steps for the method of kinematic coefficients beginning with the vector loop equation. List the unknown variables, and any constraint equations. In particular,
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Unformatted text preview: write the rolling constraint equation between the cam and the roller. Use Cramers rule to determine the first-order kinematic coefficients of the mechanism. Specify the determinant of the coefficient matrix. Also, determine when the mechanism is in a singular configuration. (ii) The method of instantaneous centers of velocity. Draw the mechanism to a good scale and accurately measure the locations of the instantaneous centers of velocity. Then use the appropriate measurements to determine the first-order kinematic coefficients of the mechanism. (iii) Compare the answers for the angular velocity of the roller (link 3) and the angular velocity of the oscillating follower (link 4) that you obtained from Part (i) with the answers that you obtained from Part (ii)....
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This note was uploaded on 04/23/2011 for the course ME 352 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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