A block is attached to a ceiling by a spring of y(t) force constant k. When pull

Question

A block is attached to a ceiling by a spring of y(t) force constant k. When pulled down and released, the block undergoes simple harmonic 2 motion. The motion of the block is shown in the time plot on the right. Which of the following describes the amplitude A and frequency fof the motion of the block? t(s) 16TT 32IT O A 2; f 1/(16TT) Hz A 4, f-1/(8TT) Hz A 4, f 1/(16TT) Hz Which of the following equations of motion best describes the motion of the block? O y(t) 2cos(t/8) O y(t) 2cos (8t) (Scroll down to answer last question) y(t) 4cos (16TT) y(t) 4cos(t/8)

Explanation / Answer

1.)option B is correct

A = 2 , f = 1/16pi Hz

it is inticted in graph

frequency = 1/T

Amplitude= y

2.)option 1 is correct

y(t) = 2cos(t/8)

as we put the vale of t = 16pi

y should be equal to 2

3.)kx=mg

k*2 = 4.14*9.81

k = 20.367 N/m

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