They are the same question sapling leaming A block is attached to a ceiling by a

Question

They are the same question sapling leaming A block is attached to a ceiling by a spring of 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? yi0 -t(s) 8T 16T As 2:1= 1/(16n) Hz O A-4;f=1/(16m) Hz Which of the following equations of motion best describes the motion of the block? (Saroll down to answer last question)

Explanation / Answer

amplitude=2
time period=16*pi
then frequency=1/(16*pi) Hz

option 2 is correct.

part 2: as it has maxima at tme t=0
it is a cosine function

hence
y(t)=2*cos(2*pi*t/(16*pi))

so option 1 is correct.

part 3:

angular frequency=sqrt(k/m)

2*pi*f=sqrt(k/8.14)

k=0.1272

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