Trigonometric functions are used extensively in the design
Chapter 6, Problem 74(choose chapter or problem)
Trigonometric functions are used extensively in the design of industrial robots. Suppose that a robots shoulder joint is motorized so that the angle increases at a constant rate of radian per second from an initial angle of . 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 cm when . Construct a table that lists the angle and the height h of the robotic hand every second while . (b) Determine whether or not a constant increase in the angle produces a constant increase in the height of the hand. (c) Find the total distance that the hand moves.
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