Is this how I would determine the force?

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SUMMARY

The discussion focuses on determining the force constant (k) of a thin, flexible metal plate used to measure mass through simple harmonic motion. The user seeks clarification on using the formula T = 2π√(m/k) to find k, where T is the period of vibration and m is the mass attached to the plate. The provided data includes average times for 10 vibrations corresponding to various masses, which can be utilized to calculate k accurately. This method is a standard approach in physics for calibrating measuring devices based on harmonic motion.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with the formula T = 2π√(m/k)
  • Basic knowledge of mass and force relationships
  • Ability to perform calculations involving square roots and algebraic manipulation
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  • Calculate the force constant k using the provided mass and period data
  • Explore the effects of varying mass on the period of vibration
  • Investigate other methods for calibrating measuring devices in physics
  • Learn about the applications of simple harmonic motion in real-world scenarios
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Students in physics, educators teaching mechanics, and anyone interested in experimental methods for measuring mass and force constants in oscillatory systems.

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Is this how I would determine the force??

A thin, flexible metal plate attached at one end to a platform, as shown above, can be used to
measure mass. When the free end of the plate is pulled down and released, it vibrates in simple harmonic motion with a period that depends on the mass attached to the plate. To calibrate the force constant, objects of known mass are attached to the plate and the plate is vibrated, obtaining the data shown below.
mass (kg)
avg time for 10 vibrations (seconds)​
.10
8.86​
.20
10.6​
.30
13.5​
.40
14.7​
.50
17.7​

now my question is, if i was to find the force constant of the metal plate, would that mean that i need to find k?

if so, would i do that by using the formula T=2π√m/k)?
 
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oh yea, and i also have the value of for T(period) for each of the masses
 

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