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Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 4.00 Hz. The board has an effective mass of 10.0 $\mathrm{kg}$ . What is the frequency of the simple harmonic motion of a 75.0 -kg diver on the board?

$f_{d}=1.37 \mathrm{Hz}$

Physics 101 Mechanics

Physics 103

Chapter 16

Oscillatory Motion and Waves

Periodic Motion

Wave Optics

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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So in this question we are going to use the formula Quincy equal to one divided by two pi square root cabe I am so from the given information, we need to first find the value of K because we are going to use different mass. So for that we're going to need valley. Okay, so let's do that. K is equal to two pi if squared, multiplied by mass. So let's use the information given to us. So in the beginning we are given that the frequency is for and the mass it's 10. So if you solve this, you'll find the answer. Here is 6000 317. So that's the value of K. Now let's again use the same formula. But now we're going to find the frequency itself. So square with Kate about it by m went about it by two pi squared Route 6000 3 17 divided by mass now is 85 because the man has a frequency off, the man has a mass off or diver has a mass off 75 kilograms on the massive board itself is tense. A template 75. This is it's in. Let's 75 And if you saw this one, you'll find the answer is 1.372 hoods. So see that with the given information, I post found what? The Valley of case. And using that with the new the new value of mass I pound knew early on frequency. Thank you.

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