Robotic arm movement Trigonometric functions are usedextensively in the design of industrial robots. Suppose thata robot's shoulder joint is motorized so that the angle 0increases at a constant rate of 7/12 radian per second froman initial angle of 0 = 0. Assume that the elbow joint isalways kept straight and that the arm has a constant lengthof 153 centimeters, as shown in the figure.(a) Assume that h = 50 cm when 0 = 0. Construct a tablethat lists the angle 0 and the height h of the robotichand every second while 0 < 0< /2.(b) Determine whether or not a constant increase in theangle 0 produces a constant increase in the height ofthe hand.(c) Find the total distance that the hand moves.Exercise 74153 cm50 cm

(a) Draw the table for h and ϴ from the given question conditions. Substitute the values from the…

Answered: Robotic arm movement Trigonometric…

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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4
A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 83.82 cm above the top of the crate directly over the geometric center of the top surface. Use the given dimensions from the table below to perform the following calculations: a.) Determine the position vector b.) Compute the unit vector ûCA that points from point point A. c.) If rope AB carries a tension force of magnitude F = 674 → N, determine the force vector FT that expresses how this force acts on point A. 2013 Michael Swanbom cc i❀O BY NC SA Express each vector in Cartesian components to three significant figures. b PAD cm cm that describes rope AD ↑Z cm y Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value a
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Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.) ft/sec² Need Help? Read It Not drawn to scale
Two cables AB and AC are acting on the pole with forces FAB=540N and FAC = 560N with parameters defining the attachment points shown in the table. We want to write the vector AB in cartesian vector form. C Y₂ parameters value units 540 560 5.5 4 3.5 FAB FAC L Z1 Y 72 4 4 Submit Question N N m m m m m A x + 247.123 Y₁ write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= 282.427 Z B xj+-388.337 N

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