Why is this crazy oscillating graph decreasing?

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SUMMARY

The discussion centers on understanding the oscillating graph of a mass-spring system, specifically analyzing why the graph is decreasing. Participants emphasize the importance of Hooke's Law, represented as F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position. The correct interpretation of the relationship between force and displacement is crucial for solving the problem, and a common mistake noted is the misrepresentation of force calculations. The conversation highlights the need to accurately apply relevant equations to clarify the dynamics of the system.

PREREQUISITES
  • Understanding of Hooke's Law (F = -kx)
  • Basic knowledge of oscillatory motion
  • Familiarity with force and displacement relationships
  • Ability to interpret graphs in physics
NEXT STEPS
  • Study the applications of Hooke's Law in various mechanical systems
  • Learn about the principles of oscillatory motion and damping
  • Explore graphing techniques for force versus displacement
  • Investigate the effects of different spring constants on oscillation behavior
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators seeking to clarify concepts related to force and motion.

littlejon
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Homework Statement

Homework Equations


v= d/t

The Attempt at a Solution


v= T/A
It is decreasing I think E
 
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littlejon said:
View attachment 76174

Homework Statement

Homework Equations


v= d/t

The Attempt at a Solution


v= T/A
It is decreasing I think E

Welcome to the PF.

No, the answer is not E. Think in terms of forces. What is the Relevant Equation that relates the spring force on the mass to the displacement of the mass from the uncompressed position of the spring...?
 
Hookes law?
 
littlejon said:
Hookes law?

Yep, good. So write out Hooke's law for this problem. If the graph shows the displacement versus time of the mass, can you plot the Force versus time on the same time axis? What is the force when the displacement is zero?
 
F= -kX
So
F= -(A)(T)
So thuis mean - and 0 so C?
 
littlejon said:
F= -kX
So
F= -(A)(T)
So thuis mean - and 0 so C?

Yep, good! That's why we have the section of the Homework Help Template that asks for the Relevant Equations. Often just by listing the equations that are involved, it makes figuring out the problem much easier. :-)
 
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Actually, one small typo fix -- you correctly show F=-kx, but then you say F=-AT. It should be F=-A*0 = 0. But I think that's what you meant anyway.
 

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