speed in a harmonic motion
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Question
A bored student (in a biology lesson) holds one end of a flexible plastic ruler against the laboratory bench and licks the other end, setting the ruler into oscillation. The end of the ruler moves a total distance of 8.0cm as in the diagram and makes 28 complete oscillations in 10s.
Use x= x0cos2π t to produce a table o values o x and t or values:
t/s = 0, 0.04, 0.08, 0.12, 0.16, 0.20, 0.24, 0.28, 0.32, 0.36
|
t/s |
x/m |
|
0 |
0 |
|
0.04 |
0.03051 |
|
0.08 |
0.00653 |
|
0.12 |
-0.02054 |
|
0.16 |
-0.03787 |
|
0.2 |
-0.03722 |
|
0.24 |
-0.0189 |
|
0.28 |
0.00838 |
|
0.32 |
0.03169 |
|
0.36 |
0.03996 |
Draw a graph on the attached graph paper of x against t and use it to find the maximum speed at the end of the ruler.
Summary : speed in a harmonic motion
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