Homework3a.spring11

# Homework3a.spring11 - Use Cramers’ rule to determine the...

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ME 352 - Machine Design I Name of Student ________________________________ Spring Semester 2011 Lab Section Number ____________________________ Homework No. 3 (30 points). Due at the beginning of lecture on Friday, February 4th. Consider Problem 3.15, see Figure P3.15, page 160. For this homework, only solve for the angular velocity of link 3 and the sliding velocity of link 3 relative to link 4. You do not need to determine the velocity of point B. To solve this problem use the following two methods: (i) The method of kinematic coefficients. Begin by clearly documenting your solution to the position analysis of the mechanism. Then clearly show all the steps for the method of kinematic coefficients beginning with the vector loop equation of the mechanism. List the unknown variables, and any constraint equations.
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Unformatted text preview: 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 would be 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 link 3 and the sliding velocity of link 3 relative to link 4 that you obtained from Part (i) with the answers that you obtained from Part (ii)....
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