A robot joint is to be moved from initial position 15 degrees to final position of 45 degrees in 5 seconds using a 3rd order polynomial: q(t) = a0 + a1 *t + %3D a2*t^2 + a3*t^3. Assume that the initial and final velocities are zeros. Calculate the parameters a0, a1, a2, and a3 а030, а1315, а231.8, а3%30.6 а0-15, а1-0, а2-45, а330 а0%-15, а1-0, а2-3.6, а3--0.48 а0-15, а1345, а231.88, а3--0.62

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
A robot joint is to be moved from initial
position 15 degrees to final position of
45 degrees in 5 seconds using a 3rd
order polynomial: q(t) = a0 + a1 *t +
%3D
a2*t^2 + a3*t^3. Assume that the initial
and final velocities are zeros. Calculate
the parameters a0, a1, a2, and a3
a0=0, a13D15, a2=D1.8, a3=0.6
a0=15, a1=0, a2=D45, a3=D0
a0=15, a1=0, a2=3.6, a3=-0.48
a0=15, a1=45, a2=D1.88, a3=-0.62
Transcribed Image Text:A robot joint is to be moved from initial position 15 degrees to final position of 45 degrees in 5 seconds using a 3rd order polynomial: q(t) = a0 + a1 *t + %3D a2*t^2 + a3*t^3. Assume that the initial and final velocities are zeros. Calculate the parameters a0, a1, a2, and a3 a0=0, a13D15, a2=D1.8, a3=0.6 a0=15, a1=0, a2=D45, a3=D0 a0=15, a1=0, a2=3.6, a3=-0.48 a0=15, a1=45, a2=D1.88, a3=-0.62
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Design of Mechanical Springs
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY