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(a)
To describe: The motion of the object
(a)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The general equation of damped of motion is given by,
The given model is,
On comparing both expression.
So, the function is the damped oscillatory motion.
(b)
To describe: The initial displacement of the bob.
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The general equation of damped of motion is given by,
The given model is,
On comparing both expression.
The initial displacement of the bob is
(c)
To draw: The graph of the motion.
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The general equation of damped of motion is given by,
The given model is,
The graph of the motion is shown in figure below.
Figure (1)
Therefore, the graph of motion is shown in Figure (1).
(d)
To find: The displacement of the bob at the start of oscillation.
(d)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The general equation of damped of motion is given by,
The given model is,
Substitute
Therefore, the displacement at the start of the oscillation is
(e)
To find: The effect on the displacement of the bob as time increases.
(e)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The general equation of damped of motion is given by,
The given model is,
If time increases without bound, then
Chapter 8 Solutions
Precalculus
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