Chapter 1, Problem 56RE

(a)

To determine

Whether $y$ is a function of $t$, where $y$ represents the displacement in feet of an oscillating weight suspended by a spring measured by a motion detector and $t$ is the time measured in seconds.

(b)

To determine

To calculate: The amplitude and the period of oscillations for the weight suspended by the spring if the data recorded by the motion detector is as shown below:

(c)

To determine

The model for the provided data:

Where,$y$ represents the displacement in feet of an oscillating weight suspended by spring measured by a motion detector and $t$ is the time measured in seconds.

(d)

To determine

To graph: The model $y=0.25\cos \left(\frac{2\pi }{1.1}t\right)$, where $y$ represents the displacement in feet of oscillating weight suspended by spring measured by a motion detector and $t$ is the time measured in seconds and to compare result with the provided data in the figure.