Robots with telescoping arms are sometimes used to perform tasks (e.g., welding or placing screws) where access may be difficult for other robotic types. During a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5 cos(40) and the arm rotates according to the relationship 0 = - + лt, where r is 4 in feet, is in radians, and t is in seconds. Determine (a) the velocity and acceleration of the robot tip A at t = 3 s and (b) use a computer program to plot the path of tip A in x and y coordinates for 0 ≤ t ≤ 4s. π 2

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
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Problem 10.19P
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11.161 Robots with telescoping arms are sometimes used to perform tasks
(e.g., welding or placing screws) where access may be difficult for
other robotic types. During a test run, a robot arm is programmed
to extend according to the relationship r = 3 + 0.5 cos(40) and the
arm rotates according to the relationship
+ лt, where r is
in feet, is in radians, and t is in seconds. Determine (a) the velocity
and acceleration of the robot tip A at t = 3 s and (b) use a computer
program to plot the path of tip A in x and y coordinates for 0 ≤ t ≤ 4s.
=
π 2
4
Transcribed Image Text:11.161 Robots with telescoping arms are sometimes used to perform tasks (e.g., welding or placing screws) where access may be difficult for other robotic types. During a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5 cos(40) and the arm rotates according to the relationship + лt, where r is in feet, is in radians, and t is in seconds. Determine (a) the velocity and acceleration of the robot tip A at t = 3 s and (b) use a computer program to plot the path of tip A in x and y coordinates for 0 ≤ t ≤ 4s. = π 2 4
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