A two-link planar robot is shown in Fig. P4.27.
(a) Calculate the position of (lie lip
(b) Determine the magnitude and direction of
(c) Repeat part (b) using the laws of sines and cosines.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Introductory Mathematics for Engineering Applications
Additional Math Textbook Solutions
Fundamentals of Differential Equations (9th Edition)
Basic Technical Mathematics
Advanced Engineering Mathematics
A Graphical Approach to College Algebra (6th Edition)
Business Statistics: A First Course (7th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
- Explain the meaning of direction angles and their relation to direction vectors. What are the direction angles of the vector [–5, 1, 8]? Prove that cos^2(a)+cos2(b)+cos2(y)=1. A vector has direction angles a = 85° and b=65°. Determine the value of y, and generated a vector that has those direction angles. Explain why it is not possible for two of a vector's direction angles to be less than 45°arrow_forwardIn the equation below, a and c are both vectors of the same size. Given b and d are both scalars, indicated the location of where the dot operator is necessary to perform element-wise operation. Only include dots/periods in the correct locations. A = ((cos (c) + d - a) * (d * a) * tan (b)) / (a^2 + c * exp (a) * sin (b)) Note: Write the equation with the correct position of the dot / periods.arrow_forwardFind the parametric equations for the line segment from (5,-1,1) to (5,4,3)arrow_forward
- What is the terminal point of the vector a = <1, 3> based at P = (2, 2)? Sketch a and the vector a0 based at the origin and equivalent to a.arrow_forwardVector A has a magnitude of 19.6 and is at an angle of 80.5° counterclockwise from the +x-axis. Vector B has a magnitude of 27.1 and is -40.3° from the +x-axis. Resolve Á and B into components, and express in ijk unit vector form, À = A‚i + A‚j %3D B = B,i + Bj where Ax, Ay, Bx, and By are the calculated values of the x- and y-components of vectors A and B, respectively. = Calculate the dot product between A and B. A• B = Calculate the angle 0 between A and B.arrow_forwardäbäi 25 Q4) Let vector A = 2i+3j , vector B = 2i-2j, and vector C = (-A) - %3D (2B). (a) Write vector C in component form. (b) Draw a coordinate system and on it show the three vectors (A, B and C). (c) what are the magnitude and direction of * ?vector Carrow_forward
- Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =<2,-1,4>. Also , give the coordinates of another point on this line.arrow_forwardWrite a parametric equation for the line that passes through the point (1,0,2) in the direction of the vector <2,-1,4>.arrow_forwardGive a vector parametric equation for the line through the point (4,-3) that is perpendicular to the line <1−4t,3t−3>arrow_forward
- write down the parametric equation for the line that passes through the points (1,4,8) and (3,6,3)arrow_forwardWhat are the parametric equations for the line segment from (3,2) to (-10,5)?arrow_forwardFind the vector and parametric equations of the line that passes through the points A(7,10,4), B(3,-2,2)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning