Robotic arm movement Trigonometric functions are used extensively in the design of industrial robots. Suppose that a robot's shoulder joint is motorized so that the angle 0 increases at a constant rate of 7/12 radian per second from an initial angle of 0 = 0. Assume that the elbow joint is always kept straight and that the arm has a constant length of 153 centimeters, as shown in the figure. (a) Assume that h = 50 cm when 0 = 0. Construct a table that lists the angle 0 and the height h of the robotic hand every second while 0 < 0< /2. (b) Determine whether or not a constant increase in the angle 0 produces a constant increase in the height of the hand. (c) Find the total distance that the hand moves. Exercise 74 153 cm 50 cm
Robotic arm movement Trigonometric functions are used extensively in the design of industrial robots. Suppose that a robot's shoulder joint is motorized so that the angle 0 increases at a constant rate of 7/12 radian per second from an initial angle of 0 = 0. Assume that the elbow joint is always kept straight and that the arm has a constant length of 153 centimeters, as shown in the figure. (a) Assume that h = 50 cm when 0 = 0. Construct a table that lists the angle 0 and the height h of the robotic hand every second while 0 < 0< /2. (b) Determine whether or not a constant increase in the angle 0 produces a constant increase in the height of the hand. (c) Find the total distance that the hand moves. Exercise 74 153 cm 50 cm
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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