# P0324 - Kinematics and Dynamics of Machinery SOLUTION...

This preview shows pages 1–2. Sign up to view the full content.

Kinematics and Dynamics of Machinery SOLUTION MANUAL 3-24-1 PROBLEM 3-24 Statement: Draw the Roberts diagram and find the cognates for the linkage in Figure P3-9. Given: Link lengths: Coupler point data: Ground link L 1 2.22  Crank L 2 1.0  A1P 3.06  31.00 deg  Coupler L 3 2.06  Rocker L 4 2.33  Solution: See Figure P3-9 and Mathcad file P0324. 1. Calculate the length BP and the angle  using the law of cosines on the triangle APB . B1P L 3 2 A1P 2 2 L 3 A1P cos   0.5  B1P 1.674 acos L 3 2 B1P 2 A1P 2 2 L 3 B1P  109.6560 deg 2. Use the Cayley diagram (see Figure 3-24) to calculate the link lengths of the two cognates. Note that the diagram is made up of three parallelograms and three similar triangles L 5 B1P  L 5 1.674 L 6 L 4 L 3 B1P  L 6 1.893 L 10 A1P  L 10 3.060 L 9 L 2 L 3 A1P  L 9 1.485 L 7 L 9 B1P A1P  L 7 0.812 L 8 L 6 A1P B1P  L 8 3.461 Calculate the coupler point data for cognates #2 and #3 A3P L 8  A3P 3.461 A2P L 2  A2P 1.000 180 deg 

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern