Homework 4 Solutions

Homework 4 Solutions - lim (kl9356) Homework 4 Weathers...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: lim (kl9356) Homework 4 Weathers (17104) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Consider four vectors vector F 1 , vector F 2 , vector F 3 , and vector F 4 , where their magnitudes are F 1 = 31 N, F 2 = 27 N, F 3 = 28 N, and F 4 = 58 N. Let 1 = 140 , 2 = 140 , 3 = 34 , and 4 = 63 , measured from the positive x axis with the counter-clockwise angular direction as positive. What is the magnitude of the resultant vec- tor vector F , where vector F = vector F 1 + vector F 2 + vector F 3 + vector F 4 ? Correct answer: 33 . 8385 N. Explanation: Basic Concepts: Vector components fig- ure1 Solution: The x components of the forces vector F 1 , vector F 2 , and vector F 3 are F 1 x = F 1 cos(140 ) = 23 . 7474 N F 2 x = F 2 cos( 140 ) = 20 . 6832 N F 3 x = F 3 cos(34 ) = 23 . 213 N F 4 x = F 4 cos( 63 ) = 26 . 3314 N . and the y components are F 1 y = F 1 sin(140 ) = 19 . 9264 N F 2 y = F 2 sin( 140 ) = 17 . 3552 N F 3 y = F 3 sin(34 ) = 15 . 6574 N F 4 y = F 4 sin( 63 ) = 51 . 6784 N . The x and y components of the resultant vec- tor vector F are F x = F 1 x + F 2 x + F 3 x + F 4 x = ( 23 . 7474 N) + ( 20 . 6832 N) + (23 . 213 N) + (26 . 3314 N) = 5 . 11386 N F y = F 1 y + F 2 y + F 3 y + F 4 y = (19 . 9264 N) + ( 17 . 3552 N) + (15 . 6574 N) + ( 51 . 6784 N) = 33 . 4498 N Hence the magnitude of the resultant vector bardbl vector F bardbl is bardbl vector F bardbl = radicalBig F 2 x + F 2 y = radicalBig (5 . 11386 N) 2 + ( 33 . 4498 N) 2 = 33 . 8385 N 002 (part 2 of 2) 10.0 points What is the direction of this resultant vector vector F ? Note: Give the angle in degrees, use coun- terclockwise as the positive angular direction, between the limits of 180 and +180 from the positive x axis....
View Full Document

Page1 / 5

Homework 4 Solutions - lim (kl9356) Homework 4 Weathers...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online