This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Version PREVIEW – Homework 4 – rostovtsev – (17102) 1 This printout should have 11 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. Sum of Four Vectors 001 (part 1 of 2) 10.0 points Consider four vectors vector F 1 , vector F 2 , vector F 3 , and vector F 4 with magnitudes F 1 = 39 N, F 2 = 31 N, F 3 = 12 N, and F 4 = 57 N, θ 1 = 140 ◦ , θ 2 = − 150 ◦ , θ 3 = 17 ◦ , and θ 4 = − 62 ◦ , measured from the positive x axis with counterclockwise positive. What is the magnitude of the resultant vec tor vector F = vector F 1 + vector F 2 + vector F 3 + vector F 4 ? Correct answer: 41 . 586 N. Explanation: The x components are F x = F cos θ , so F 1 x = (39 N) cos(140 ◦ ) = − 29 . 8758 N F 2 x = (31 N) cos( − 150 ◦ ) = − 26 . 8468 N F 3 x = (12 N) cos(17 ◦ ) = 11 . 4757 N F 4 x = (57 N) cos( − 62 ◦ ) = 26 . 7599 N and the y components are F y = F sin θ , so F 1 y = (39 N) sin(140 ◦ ) = 25 . 0687 N F 2 y = (31 N) sin( − 150 ◦ ) = − 15 . 5 N F 3 y = (12 N) sin(17 ◦ ) = 3 . 50846 N F 4 y = (57 N) sin( − 62 ◦ ) = − 50 . 328 N . The components of the resultant vector are F x = F 1 x + F 2 x + F 3 x + F 4 x = ( − 29 . 8758 N) + ( − 26 . 8468 N) + (11 . 4757 N) + (26 . 7599 N) = − 18 . 487 N and F y = F 1 y + F 2 y + F 3 y + F 4 y = (25 . 0687 N) + ( − 15 . 5 N) + (3 . 50846 N) + ( − 50 . 328 N) = − 37 . 2508 N , so the magnitude of the resultant vector is bardbl vector F bardbl = radicalBig F 2 x + F 2 y = radicalBig ( − 18 . 487 N) 2 + ( − 37 . 2508 N) 2 = 41 . 586 N . 002 (part 2 of 2) 10.0 points What is the direction of this resultant vec tor vector F , within the limits of − 180 ◦ and 180 ◦ as measured from the positive x axis with coun terclockwise positive ?...
View
Full
Document
This note was uploaded on 10/19/2010 for the course CSCI 2342 taught by Professor Meg during the Spring '10 term at Tarrant County.
 Spring '10
 meg

Click to edit the document details