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ps:/ ti/main.uni Young, Trigonometry, 4e Help 1 PRINTER VERSTON 4 BACK NEXT Simp

ID: 2920157 • Letter: P

Question

ps:/ ti/main.uni Young, Trigonometry, 4e Help 1 PRINTER VERSTON 4 BACK NEXT Simple Harmonic Motion. A weight hanging on a spring will oscillate up and down about its equilibrium position after it is pulled down and released. This is an example of simple harmonic motion. This motion would continue forever if there were not any friction or air resistance. Simple harmonic motion can be describe with the function y = A cos where A is the amplitude, r is the time in seconds, m is the mass of the weight, and k is a constant particular to the spring. If the distance a spring is displaced, y, is measured in centimeters and the mass in grams, then what are the amplitude and massif y 4 cos (3r/R)? The amplitude is The mass is Click if you would like to Show Work for this question: 9- Open Show Work SHOW HINT LINK TO TEXT

Explanation / Answer

y=4cos(3tk)

=>y=4cos(t(9k))

comparing with y=Acos(t(k/m))

|A|=4

the amplitude is 4 cm

9k= k/m

=>m=1/9

the mass is 1/9 g or 0.111g

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