Why Does a Negative Spring Constant Give a Nonreal Period in Oscillation?

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SUMMARY

The discussion centers on the implications of obtaining a negative spring constant (k) when calculating the period of oscillation using the formula T=2π(m/k)^(1/2). The user graphed their data points, resulting in a negative slope, which indicates an error in their experimental setup or data collection. The negative value for k leads to a nonreal answer for the period T, highlighting the necessity for a positive spring constant in oscillatory motion. The conversation emphasizes the importance of accurate measurements and understanding the physical principles behind the experiment.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Familiarity with the formula for the period of oscillation T=2π(m/k)^(1/2)
  • Basic knowledge of graphing data points in physics experiments
  • Experience with measuring force in Newtons and displacement in meters
NEXT STEPS
  • Review the principles of Hooke's Law and its application in oscillatory systems
  • Learn about the significance of positive spring constants in mechanical oscillations
  • Investigate common experimental errors in measuring force and displacement
  • Explore the effects of different types of oscillators, such as pendulums and mass-spring systems
USEFUL FOR

Students conducting physics experiments, educators teaching mechanics, and anyone interested in understanding the principles of oscillation and spring dynamics.

bmx_Freestyle
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Ok so i am doing a lab...and i graphed my data points and my slope turned out to be negative.
The y-axis is in Newtons and the x-axis is in Meters.
So my teacher said the the slope=k (constant)
period of an oscillation formula: T=2pi(m/k)^1/2
But my k is negative so when i substitute all my numbers, i get a "Nonreal answer"
What did i do wrong?
 
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bmx_Freestyle said:
Ok so i am doing a lab...and i graphed my data points and my slope turned out to be negative.
The y-axis is in Newtons and the x-axis is in Meters.
So my teacher said the the slope=k (constant)
period of an oscillation formula: T=2pi(m/k)^1/2
But my k is negative so when i substitute all my numbers, i get a "Nonreal answer"
What did i do wrong?

You said this was a prac, and you were plotting the results.

What instrument were you using to measure the [Force, in] Newtons;

What instrument were you using to measure the metres;

that you eventually plotted?

What experiment were you actually doing? A pendulum? A mass on a spring? A mass in an inertial balance?
 

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