Estimate Decay Coefficient in Ae^-at Graph

AI Thread Summary
To estimate the decay coefficient in the equation Ae^-at from the given graph, one can analyze the damped oscillation data. It is suggested to use the equilibrium position as a reference point for calculations. If the data is experimental, averaging the differences over multiple periods can provide a more accurate estimate. The discussion emphasizes the importance of correctly interpreting the graph for accurate coefficient estimation. Overall, understanding the relationship between the graph and the decay coefficient is crucial for solving the problem.
SuchBants
Messages
23
Reaction score
0

Homework Statement


How can I estimate the decay coefficient in Ae^-at for this graph
w.JPG

I know the equilibrium position

Homework Equations


damped oscillation

The Attempt at a Solution



ad.JPG
not sure if this is right.[/B]
 

Attachments

  • w.JPG
    w.JPG
    74.3 KB · Views: 732
  • ad.JPG
    ad.JPG
    21.6 KB · Views: 496
Physics news on Phys.org
This is right for the first 'period'.
If these are experimental data, you may take a mean value over all possible differences.
 
  • Like
Likes drvrm
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top