homework10bsol.fall10

homework10bsol.fall10 - ME 560 Kinematics Fall Semester...

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1 ME 560 Kinematics Fall Semester 2010 Solution to Homework Set 10 Wednesday, December 1st Problem 1 . Given the pole triangle and the line g in position 1, that is, the line 1 g , the problem is to find the location of the line g in positions 2 and 3, respectively. 2 1 H H 12 P H 2 1 g g c P 23 h 1 h 2 2 g P 1 13 H 3 h 3 g 3 3 Figure 1. Location of the line g in positions 1, 2 and 3. The graphical procedure to find the location of the line 2 g is: (i) Draw a circle with the center at the pole 12 P and the radius equal to the distance from the pole 12 P to the line 1 g. (ii) Draw the perpendicular from the pole 12 P to the line 1 g , and measure the rotation angle 12 2 φ from this perpendicular in the same direction as the interior angle 12 φ .

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2 (iii) Draw a line tangent to the circle at the circumference of the circle. This is the line 2 g, tha t
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homework10bsol.fall10 - ME 560 Kinematics Fall Semester...

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