Step 1:

(a)

The displacement of the object at $\"\"$ is $\"\"$ .

The damping factor $\"\"$ .

Mass of the object is $\"\"$ .

The time period $\"\"$ .

Time Period $\"\"$

$\"\"$

The displacement by an oscillating object from rest position at time $\"\"$ is

$\"image\"$

Substitute the values $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in the above equation.

$\"\"$

Step 2:

Graph the function $\"\"$ .

Graph the function for 5 oscillations.

$\"\"$

Solution:

The displacement by an oscillating object is $\"\"$ .

Graph of the displacement of the object for 5 oscillations is

$\"\"$