Homework_1

# Homework_1 - Alfonso, Noel Homework 1 Due: Sep 13 2007,...

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

Alfonso, Noel – Homework 1 – Due: Sep 13 2007, 9:00 am – Inst: Dale Gary 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – Fnd all choices before answering. The due time is Central time. 001 (part 1 of 2) 15 points Consider three force vectors ~ F 1 , ~ F 2 , and ~ F 3 . The vector ~ F 1 has magnitude F 1 = 52 N and direction θ 1 = 160 ; the vector ~ F 2 has mag- nitude F 2 = 35 N and direction θ 2 = - 140 ; and the vector ~ F 3 has magnitude F 3 = 30 N and direction θ 3 = 120 . All the direction an- gles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the magnitude F of the net force vector ~ F = ~ F 1 + ~ F 2 + ~ F 3 ? Correct answer: 93 . 1364 N. Explanation: In components, each force vector is F 1 ,x = F 1 × cos θ 1 = - 48 . 864 N , F 1 ,y = F 1 × sin θ 1 = 17 . 785 N , F 2 ,x = F 2 × cos θ 2 = - 26 . 8116 N , F 2 ,y = F 2 × sin θ 2 = - 22 . 4976 N , F 3 ,x = F 3 × cos θ 3 = - 15 N , F 3 ,y = F 3 × sin θ 3 = 25 . 9808 N , and therefore the net force is F x = F 1 ,x + F 2 ,x + F 3 ,x = - 90 . 6756 N , F y = F 1 ,y + F 2 ,y + F 3 ,y = 21 . 2682 N . Consequently, the magnitude

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.

## This note was uploaded on 04/07/2008 for the course MATH 112 taught by Professor Levy during the Spring '08 term at NJIT.

### Page1 / 3

Homework_1 - Alfonso, Noel Homework 1 Due: Sep 13 2007,...

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

View Full Document
Ask a homework question - tutors are online