Question
Asked Nov 25, 2019
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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 4.7 Hz. The board has an effective mass of 8.5 kg.

 What is the frequency, in hertz, of the simple harmonic motion of a 71.5-kg diver on the board? 

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Expert Answer

Step 1

 

Given:

Frequency of diving board = 4.7 Hz

Mass of diving board = 8.5 kg

Step 2

Frequency of diving board can be given as:

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k f 2л\т kis the spring constant mis the mass of the body plug in the values k 1 4.7= 27 8.5 k = 4.7 x 27 V8.5 on squaring both side k -(4.7x 27) 8.5 k = (4.7x 27) x8.5 k =7412.67 N/m

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Step 3

New mass = (71.5 + 8.5) = 80 kg

Spring constant = 7412....

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k 1 f 2πYm kis the spring constant mis the mass of the body plug in the values 1 7412.67 f = 27 1 80 f =1.53HZ

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Tagged in

Science

Physics

Wave Motion