Simple harmonic motion question

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SUMMARY

The discussion revolves around a physics problem involving simple harmonic motion, specifically analyzing the behavior of a block of mass M suspended from a rubber cord with a spring constant k. Key questions include determining the tension in the cord at the lowest point, calculating the stretched length of the cord, and finding the speed of a transverse wave in the cord. The participants highlight the complexity of using a rubber cord compared to a traditional spring, suggesting that the problem can be simplified by treating the rubber cord as a spring for calculation purposes.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Knowledge of spring constants and tension in elastic materials
  • Familiarity with wave speed calculations in elastic media
  • Basic grasp of gravitational force and its effects on mass
NEXT STEPS
  • Study the derivation of tension in elastic materials using Hooke's Law
  • Learn about wave propagation in different media, focusing on transverse waves
  • Explore the differences between springs and rubber cords in terms of elasticity
  • Investigate the principles of energy conservation in simple harmonic motion systems
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Students studying physics, particularly those focusing on mechanics and wave motion, as well as educators seeking to clarify concepts related to simple harmonic motion and elastic materials.

123mock
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hi i am having trouble grasping this question

A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L0, and its mass is m, much less than M. The "spring constant" for the cord is k. The block is released and stops momentarily at the lowest point.

(a) Determine the tension in the string when the block is at this lowest point. (Use the following variables as necessary: L_0 for L0, m, M, and g.)
(b) What is the length of the cord in this "stretched" position? (Use the following variables as necessary: L_0 for L0, k, m, M, and g.)
(c) If the block is held in this lowest position, find the speed of a transverse wave in the cord. (Use the following variables as necessary: L_0 for L0, k, m, M, and g.)


doing this question with the spring is much easier, but the rubber cord is confusing.
 
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123mock said:
doing this question with the spring is much easier, but the rubber cord is confusing.
I am having trouble understanding why you find it much easier with spring. Just pretend it is a spring and solve it. Then substitute the words "rubber cord" for "spring" in your answer.

AM
 

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