Explanation Procedure used: To find x and y components of a vector: 1. Place the vector A such that θ is in standard position. 2. Calculate A x and A y from A x = A cos θ and A y = A sin θ . Use the reference angle if the direction of the component is noted. 3. Check the components to see if each is in the correct direction and has a magnitude that is proper for the reference angle. Adding vectors by components: 1. Add the x -component of the given vectors to obtain R x . 2. Add the y -component of the given vectors to obtain R y . 3. Find the magnitude of the resultant R . Use the equation R = R x 2 + R y 2 . 4. Find the standard-position angle θ for the resultant R . Find the reference angle θ r e f for the resultant R by using the equation θ r e f = tan − 1 | R y | | R x | . Then, use the reference angle and the quadrant of R to determine the standard position angle θ . Calculation: In example 4, the vector U = 405 is directed at an angle θ U = 235 ° and V = 210 is directed at an angle θ V = 110 ° . Sketch the figure of the corresponding vectors as shown below in Figure 1. From Figure 1, it is observed that the vector U = 405 is directed at an angle θ U = 235 ° and V = 210 is directed at an angle θ V = 110 ° . Let the resultant vector is represented as R . Then, the x component of the resultant vector R is, R x = U x + V x = U cos θ U + V cos θ V = 405 cos 235 ° + 210 cos 110 ° = ( − 232.30 ) + ( − 71.82 ) ≈ − 304.12 Similarly, the y component of the resultant vector R is, R y = U y + V y = U sin θ U + V sin θ V = 405 sin 235 ° + 210 sin 110 ° = ( − 331

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 9.3, Problem 3PE

To determine

The resultant vector R of the vectors U and V in example 4.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.3, Problem 2PE

Chapter 9.3, Problem 1E

Students have asked these similar questions

Coast Guard Patrol Search Mission The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in for a closer look. Flying in a straight line at a constant altitude of 1000 ft and at a steady speed of 256 ft/s, the aircraft passed directly over the trawler. How fast (in ft/s) was the aircraft receding from the trawler when it was 1400 ft from the trawler? (Round your answer to one decimal places.) 1000 ft 180 × ft/s Need Help? Read It SUBMIT ANSWER

6. The largest interval in which the solution of (cos t)y′′ +t^2y′ − (5/t)y = e^t/(t−3) , y(1) = 2, y′(1) = 0is guaranteed to exist by the Existence and Uniqueness Theorem is:A. (0, ∞) B. (π/2, 3) C. (0,π/2) D. (0, π) E. (0, 3)

Use a . Venn Diagram (Euler Diagram) or truth table to decide whether each argument is valid or invalid Some of these kids are rude. Jimmy is one of these kids. Therefore, Jimmy is rude! Premise: Some of the kids are rude. Premise: Jimmy is one of these kids. Conclusion: Jimmy is rude! I dont have an image. Do you reallly need one?

Chapter 9 Solutions

Basic Technical Mathematics

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.