Wave Pulse Reflection and Transmission in Spring Junctions

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Homework Help Overview

The discussion revolves around the behavior of wave pulses at the junction of two springs with differing mass properties. The original poster presents a series of statements regarding the reflection and transmission of pulses between a heavy spring and a light spring.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the correctness of statements related to pulse behavior, questioning the relationship between mass per unit length and pulse speed. There is an inquiry into whether the answers align with known formulas for wave speed.

Discussion Status

Some participants express agreement with certain statements while questioning others. There is an ongoing examination of the implications of the spring properties on pulse behavior, but no consensus has been reached on all points.

Contextual Notes

Participants are considering the effects of differing mass per unit length and tension in the springs, as well as the conditions under which reflections occur. The discussion is framed within the context of homework constraints, focusing on theoretical implications rather than practical solutions.

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Homework Statement


Two springs are connected, one is a heavy spring and the other is a light spring. A pulse is traveling down spring A, towards a junction with spring B. Which of the following statements are correct/incorrect.

A. If spring A is the heavy spring then the transmitted pulse will travel slower than reflected pulse.
B. The only case in which there will be no reflected pulse is when the springs are identical.
C. If spring A is the heavy spring then the reflected pulse will be inverted.
D. If spring A is the light spring then the transmitted pulse will not be inverted.
E. If spring A is the light spring then the reflected pulse will not be inverted.


The Attempt at a Solution


A. Correct
B. Correct
C. Incorrect
D. Correct
E. Incorrect
 
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By lighter, I assume mass/unit length is lesser. Does your answer to A tally with the formula for the speed of sound? The tension in both springs is the same.
 
Ohh yea no that should be incorrect. Are the rest of them right?
 
Seems to be all right.
 

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