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Simple Harmonic Motion.

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I have to find the mass of an object. The problem is that my result is a negative one.

The problem is as follows:
A teacher demonstrates a harmonic motion with an object of mass m0, hung on a wire with constant k. A mass of 1,25g is added to the object, which results in a loss of 2.5% of the original frequency.
What is the (original) mass of this object?

I tried, but I got -0.025 Kg.

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The solution is provided in an attachment with a diagram and a step-by-step completed equation.

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The frequency of simple harmonic motion like a mass on a spring is determined by the mass m and the stiffness of the ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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