The motion can be modeled as
where
x = the position below the equilibrium position
T = the period of the motion
t = time
The weight returns to its equilibrium position when x = 0.
This occurs when
That is,
Because the weight returns to the equilibrium position when t = 3 s, therefore
T = 12 s
The motion is
When t = 1 s, the position of the weight from equilibrium is
Answer:
where
x = the position below the equilibrium position
T = the period of the motion
t = time
The weight returns to its equilibrium position when x = 0.
This occurs when
That is,
Because the weight returns to the equilibrium position when t = 3 s, therefore
T = 12 s
The motion is
When t = 1 s, the position of the weight from equilibrium is
Answer: