Assignment title: Information
ENMEC 7080 and ENMEC 4016 Robotics
Out of 20 marks Assignment 1
Due back on Sunday April 9th.
A neatly typed group report should be submitted on the Moodle shell by the due
date. One mark will be deducted for every day the assignment is late.
The RPR robot above has a 50 mm end-effector. It is required to trace a vertical line
located at position x=200 mm from position y = 80 mm to y = 180 mm with point p. The
end effector should remain perpendicular to that line. Perform the following analysis
using Matlab:
Q1. Draw the trajectories of joint angles against y. 6 marks/20
Q2. Animate the robot linkage 4 marks/20
Q3. For the trace operation described above, if a 15 N force is applied at point p against
the end-effector (collinear with it), draw trajectories of the motor torque (or force) if the
motion is considered slow enough to neglect dynamic effects. 4 marks/20Q4. The attached Excel file shows data collected for robot calibration. Estimate the
actual dimensions of the robot links given that the minimum value of s2 is intended to be
10 mm. 6 marks/20
NOTE: Neatly typed assignments are expected for this assignment. Include graphs,
discussions, references etc.
q1 s2 q3 x y
73.32513 135.8688 11.42881 44.27779 190.1999
82.20383 94.85389 8.778636 11.21402 154.5773
25.06484 82.03223 86.17562 64.25479 85.8511
86.83997 23.64196 87.35335 ‐48.8716 40.50026
86.14503 72.80635 72.02524 ‐41.9036 102.7171
12.76977 63.26419 82.4162 65.65468 65.97835
71.29866 143.9239 59.01666 15.82528 184.8834
3.214051 127.3694 84.05939 138.0998 57.47716
61.08616 113.661 66.88192 27.9608 148.5259
35.30043 98.32168 15.4068 117.7222 101.8947
63.54415 4.774927 24.92307 6.000077 63.82122
4.155425 14.56977 74.1112 33.04181 50.60797
62.53458 47.56492 85.51998 ‐16.6691 78.73513
3.100147 65.81165 34.34026 113.0182 34.82442
68.89651 119.28 16.81853 48.22333 171.1192
44.0788 66.83793 58.16817 43.23088 102.7685
63.84283 113.203 24.84226 53.54033 161.1859
61.17324 98.2647 14.63506 62.29598 143.9547
10.70979 74.75461 86.37696 75.88048 65.32929
30.63472 87.79016 20.14307 113.4539 89.1042
67.61404 38.26427 45.53613 ‐2.72146 91.34169
62.91691 133.6355 86.33623 21.64011 154.6762
49.2494 20.79367 13.43646 40.76766 68.37799
23.17574 126.1076 22.8854 157.4904 90.07016
73.28563 36.52875 83.63373 ‐33.4778 65.60705
31.49854 29.48929 22.59755 60.73873 61.6384
55.44402 70.99333 31.64936 46.63871 117.1855
74.77458 87.78961 49.47512 ‐3.79832 136.5833
82.54743 42.87585 68.14802 ‐37.8128 78.25203
67.83562 57.06688 51.10395 ‐0.22569 106.6661