Position Analysis

  1. Four-bar Mechanism (leading form):

Given: r1 =2.5in., r2 = 1.0in., r3 = 3.1in., r4 = 2.0in., a3 = 1in., b3= 1.0in.

Find: Use the spreadsheet (4bar template.xls) posted on Canvas to find q3, q4, xp, and yp for each value of q2 from 0°-360° (in increments of 10°). Plot a scatter plot of q2 vs. q3 and q4 (on one plot) and xp vs. yp on a separate plot. Submit a printout of your spreadsheet and the two plots.

Check: q3(q2 = 30°) = 19.36°

 

  1. Four-bar Mechanism (lagging form):

Given: r1 =2.5in., r2 = 1.0in., r3 = 3.1in., r4 = 2.0in., a3 = 1in., b3= 1.0in.

Find: Modify the equations for problem 1 for the crossed form. Find q3, q4, xp, and yp for each value of q2 from 0°-360° (in increments of 10°). Plot a scatter plot of q2 vs. q3 and q4 (on one plot) and xp vs. yp on a separate plot. Submit a printout of your spreadsheet and the two plots.

Check: q3(q2 = 30°) = -53.39°

 

 

  1. Crank-Slider Mechanism:

Given: r2 = 1.0in., r3 = 3.1 in, r1 = 2.0in, a3 = 1in, b3 = 1.0in.

Find: Modify the 4bar spreadsheet posted on Canvas to implement the equations for a crank-slider. Use the modified spreadsheet to find q3, r4, xp and yp for each value of q2 from 0°-360° (in increments of 10°). Plot a scatter plots of q2 vs. q3, q2 vs. r4, and xp vs. yp on a separate plots. Submit a printout of your spreadsheet and the three plots.

Check: q3(q2 = 30°) = 28.94°

SAMPLE ASSIGNMENT
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