Homework 12
16-311 Introduction to Robotics
Prof. Howie Choset
Due at beginning of class on Wednesday, April 22nd This homework is worth 200 points.
(160pts) Group:
(40pts) Individual:
- Determine the forward kinematic map for the Puma arm as follows:
| i |
&alphai-1 |
ai-1 |
di |
&Thetai |
|   |
degrees |
meters |
meters |
degrees |
| 1 |
0 |
0 |
0 |
10 |
| 2 |
-90 |
0 |
0.2435 |
20 |
| 3 |
0 |
0.4315 |
-0.0934 |
30 |
| 4 |
-90 |
0.0203 |
0.4331 |
40 |
| 5 |
90 |
0 |
0 |
50 |
| 6 |
-90 |
0 |
0 |
60 |
- Determine the forward kinematic map for the arm as follows:
| i |
&alphai-1 |
ai-1 |
di |
&Thetai |
|   |
degrees |
meters |
meters |
degrees |
| 1 |
0 |
0 |
0 |
10 |
| 2 |
-90 |
0 |
0.2435 |
20 |
| 3 |
0 |
0.4315 |
-0.0934 |
30 |
| 4 |
-90 |
0.0203 |
0.4331 |
40 |
-
What are the coordinates of the end-effectors for the robots described above?
-
What are the differences and similarities between the robots?
- Derive the inverse kinematics for the following
revolute-revolute-prismatic joint planar robot.
Assume s can range from zero to infinity; the revolute
joints can range from zero to 2 pi; and the first link is longer than
the second link.
- Sketch the workspace of the arm.

Robotic arm for questions 5 and 6.
Turn in:
Submit hardcopy for individual assignment at the beginning of class.
Last updated 12/20/08 by Somchaya Liemhetcharat