hw5 - Muraj, Hamza – Homework 5 – Due: Feb 1 2006, 4:00...

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: Muraj, Hamza – Homework 5 – Due: Feb 1 2006, 4:00 am – Inst: Florin 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 2) 10 points Consider four vectors ~ F 1 , ~ F 2 , ~ F 3 , and ~ F 4 , where their magnitudes are F 1 = 38 N, F 2 = 24 N, F 3 = 25 N, and F 4 = 47 N. Let θ 1 = 120 ◦ , θ 2 =- 140 ◦ , θ 3 = 25 ◦ , and θ 4 =- 51 ◦ , measured from the positive x axis with the counter-clockwise angular direction as positive. What is the magnitude of the resultant vec- tor ~ F , where ~ F = ~ F 1 + ~ F 2 + ~ F 3 + ~ F 4 ? Correct answer: 17 . 1004 N. Explanation: Basic Concepts: Vector components fig- ure1 Solution: The x components of the forces ~ F 1 , ~ F 2 , and ~ F 3 are F 1 x = F 1 cos(120 ◦ ) =- 19 N F 2 x = F 2 cos(- 140 ◦ ) =- 18 . 3851 N F 3 x = F 3 cos(25 ◦ ) = 22 . 6577 N F 4 x = F 4 cos(- 51 ◦ ) = 29 . 578 N . and the y components are F 1 y = F 1 sin(120 ◦ ) = 32 . 909 N F 2 y = F 2 sin(- 140 ◦ ) =- 15 . 4269 N F 3 y = F 3 sin(25 ◦ ) = 10 . 5655 N F 4 y = F 4 sin(- 51 ◦ ) =- 36 . 5259 N . The x and y components of the resultant vec- tor ~ F are F x = F 1 x + F 2 x + F 3 x + F 4 x = (- 19 N) + (- 18 . 3851 N) + (22 . 6577 N) + (29 . 578 N) = 14 . 8506 N F y = F 1 y + F 2 y + F 3 y + F 4 y = (32 . 909 N) + (- 15 . 4269 N) + (10 . 5655 N) + (- 36 . 5259 N) =- 8 . 47835 N Hence the magnitude of the resultant vector k ~ F k is k ~ F k = q F 2 x + F 2 y = q (14 . 8506 N) 2 + (- 8 . 47835 N) 2 = 17 . 1004 N 002 (part 2 of 2) 10 points What is the direction of this resultant 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

This note was uploaded on 04/12/2010 for the course PHY 58195 taught by Professor Turner during the Spring '09 term at University of Texas at Austin.

Page1 / 5

hw5 - Muraj, Hamza – Homework 5 – Due: Feb 1 2006, 4:00...

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