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.
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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
Transcribed Image Text: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
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