Problem:
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.
speed in a harmonic motion
Additional information : speed in a harmonic motion