Homework_04

# Homework_04 - Nguyen Thanh – Homework 4 – Due 7:00 pm...

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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Nguyen, Thanh – Homework 4 – Due: Sep 14 2007, 7:00 pm – Inst: D Weathers 1 This print-out should have 11 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 A particle undergoes three consecutive dis- placements: ~ d 1 = d 1 x ~ i + d 1 y ~ j + d 1 z ~ k ~ d 2 = d 2 x ~ i + d 2 y ~ j + d 2 z ~ k ~ d 3 = d 3 x ~ i + d 3 y ~ j , where d 1 x = 2 . 93 cm , d 1 y = 2 . 93 cm , d 1 z =- 1 . 35 cm , d 2 x = 2 . 52 cm , d 2 y =- . 51 cm , d 2 z =- 5 . 23 cm , d 3 x =- 1 . 99 cm , d 3 y = 1 . 37 cm . Find the x component of the resultant dis- placement. Correct answer: 3 . 46 cm. Explanation: The resultant vector ~ R is given by ~ R = ~ d 1 + ~ d 2 + ~ d 3 = ( d 1 x + d 2 x + d 3 x ) ~ i + ( d 1 y + d 2 y + d 3 y ) ~ j + ( d 1 z + d 2 z + d 3 z ) ~ k = [(2 . 93 cm) + (2 . 52 cm) + (- 1 . 99 cm)] ~ i + [(2 . 93 cm) + (- . 51 cm) + (1 . 37 cm)] ~ j + [(- 1 . 35 cm) + (- 5 . 23 cm) + (0 cm)] ~ k = [3 . 46 cm] ~ i + [3 . 79 cm] ~ j + [- 6 . 58 cm] ~ k so the answer to this part of the problem is R x = 3 . 46 cm . 002 (part 2 of 2) 10 points Find the magnitude of the resultant displace- ment. Correct answer: 8 . 34459 cm. Explanation: The magnitude of ~ R is R = q R 2 x + R 2 y + R 2 z = q (3 . 46 cm) 2 + (3 . 79 cm) 2 + (- 6 . 58 cm) 2 = 8 . 34459 cm . keywords: 003 (part 1 of 2) 10 points Consider four vectors ~ F 1 , ~ F 2 , ~ F 3 , and ~ F 4 , where their magnitudes are F 1 = 43 N, F 2 = 37 N, F 3 = 14 N, and F 4 = 48 N. Let θ 1 = 130 ◦ , θ 2 =- 140 ◦ , θ 3 = 15 ◦ , and θ 4 =- 67 ◦ , 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 ?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

Homework_04 - Nguyen Thanh – Homework 4 – Due 7:00 pm...

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

View Full Document
Ask a homework question - tutors are online