The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
![\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Comega%20%3D%20%5Cmathbf%7B%5Cfrac%7B2%20%5Ccdot%20%5Cpi%7D%7BT%7D%7D)
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
![\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Comega%20%3D%20%5Cfrac%7B2%20%5Ccdot%20%5Cpi%7D%7B4%7D%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D)
Combining the above values gives the modelling equation as follows;
![\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%206%20%5Ccdot%20sin%5Cleft%28%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Ccdot%20t%20%5Cright%29)
Learn more here:
brainly.com/question/12904891