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
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
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc6b5f4e-fe93-47bb-bb9c-46c8a2064ec5%2Fbe6f188e-bda0-435b-b6b1-4b07ce222700%2F16t1s9_processed.jpeg&w=3840&q=75)
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
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