a.
To determine the initial displacement and the period of the spring and then graph the given function.
The initial displacement is
Given:
The given function is:
where,
Calculation:
It is given that a spring whose motion can be modelled by the function is:
Now, the initial displacement is:
And the period for the cosine function is:
Hence, the initial displacement is
Graph:
The graph of the given function is shown below:
b.
To draw the graph of the given function and what effect does damping have on the motion.
A damping force effects an oscillatory system. Due to damping force, amplitude of the wave decreases with time.
Given:
The given function is:
Graph:
The graph is shown below:
Interpretation:
A damping force effects an oscillatory system. Due to damping force, amplitude of the wave decreases with time and finally asymptotes to zero.
Chapter 10 Solutions
EBK ALGEBRA 2
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