A block is attached to a ceiling by a spring of force constant k. When pulled do

Question

A block is attached to a ceiling by a spring of force constant k. When pulled down and released, the block undergoes simple harmonic 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 f of the motion of the block? A = 2; f = 16 pi Hz A = 2; f = 1/(16 pi) Hz A = 4; f = 1/(8 pi) Hz A = 4; f = 1/(16 pi) Hz Which of the following equations of motion best describes the motion of the block? y(t) = 2 cos (t/8) y(t) = 2 cos (8t) y(t) = 4 cos (16 pi t) y (t) = 4 cos (t/8) If the mass of the block is 7.14 kg, what is the force constant k of the spring?

Explanation / Answer

1. The second option : A= 2, f= 1/(16pi)Hz

2. The second option : 2cos(8t)

3. 0.112N/m

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