solutions 21

solutions 21 - Patel Kinal – Homework 21 – Due 7:00 pm...

This preview shows pages 1–4. Sign up to view the full content.

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

View Full Document

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: Patel, Kinal – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 1 This print-out should have 14 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 1) 10 points You are given two waves, a transverse wave that moves to the right f 1 ( x ) and a transverse wave that moves to the left f 2 ( x ), on a string. As the problem begins, the wave f 1 ( x ) is mov- ing to the right at v 1 = +1 m/s and the wave f 2 ( x ) is moving to the left at v 2 =- 1 m/s. v 1 v 2 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Amplitude(centimeter) Distance (meter) What is the shape of the wave on the string after 3 s? 1. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 2. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 3. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 4. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 5. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) Patel, Kinal – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 2 6. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) correct 7. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 8. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 9. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) 10. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Distance (meter) Explanation: The initial wave moving to the right is rep- resented with a dashed line and the eave mov- ing to the left is represented with a dotted line. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Amplitude(centimeter) Distance (meter) Initial time, t = 0 s After 3 s the positions of the two waves are have both moved 3 meters in opposite directions. The sum of the two wave is the resultant wave, the light gray line. 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Amplitude(centimeter) Distance (meter) Superpostion, at t = 3 s Patel, Kinal – Homework 21 – Due: Nov 27 2007, 7:00 pm – Inst: D Weathers 3 1 2 3 4 5 6 7 8 9 10-3-2-1 1 2 3 Amplitude(centimeter) Distance (meter) Resultant, at t = 3 s keywords: 002 (part 1 of 4) 10 points Hint: Recall a basic trigonometric relation sin θ 1 + sin θ 2 = 2 cos µ θ 1- θ 2 2 ¶ × sin µ θ 1 + θ 2 2 ¶ . Two harmonic waves are described by y 1 = A sin( k x- ω t- φ 1 ) and y 2 = A sin( k x- ω t- φ 2 ) , where A = 3 . 8 m , k = 2 . 4 rad / m , ω = 6 . 2 rad / s , φ 1 = 1 . 3 rad , and φ 2 =- 3 . 2 rad ....
View Full Document

This note was uploaded on 10/24/2010 for the course PHYS PHYS 1710 taught by Professor Weathers during the Spring '07 term at North Texas.

Page1 / 8

solutions 21 - Patel Kinal – Homework 21 – Due 7:00 pm...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online