Name:_________________________UID:_________________________

MAE162AIntroduction to Mechanisms and Mechanical Systems

Homework #2

1. For the mechanism shown, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector loop equation(s) for the mechanism. Identify suitable input(s) for the mechanism. Identify the known quantities, the unknown variables, and any constraints. If you have identified constraints, then write the constraint equation(s).

2. Assume rolling with no slip between pinion 5 and rack 4 in the mechanism illustrated. Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector loop equation(s) for the mechanism. Identify suitable input(s) for the mechanism. Identify the known quantities, the unknown variables, and any constraints. If you have identified constraints, then write the constraint equation(s).

.

3. For the geared five-bar mechanism illustrated, there is rolling with no slipping between gear 2 and 5. Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector loop equation(s) for the mechanism. Identify suitable input(s) for the mechanism. Identify the known quantities, the unknown variables, and any constraints. If you have identified constraints, then write the constraint equation(s).

4. The simple all-revolute 4-bar linkage shown below has an input angle of 60 degrees. Write a MATLAB .m file that performs the Newton-Raphson’s method to solve for θ3 and θ4. Submit your code and your answer for full credit.

4

3