Demonstration of Forced Harmonic Motion

Additional tidal friction

Set the spring constant to 5. Click on the "Phase Difference diagram" radio button. Observe that the graph rises quite sharply. Set the attenuation to 0.3. Click on the Reset button. Observe that the rise of the graph is now less steep and that the transitions from near-horizontal to near-vertical are much more "rounded".

Leave the attenuation set at 0.3 and repeat Examples 1 and 3. Observe that the general behaviour of the model is unchanged but that whereas the phase shift value in Example 1 has increased that in Example 3 has decreased i.e. the additional damping has moved the resultant tidal bulge a little further ahead of the Moon in Example 1 but has shifted it to rather less far ahead in Example 3. Note also that in each case the size of the actual tide has reduced a little as compared to when the attenuation was smaller.

Now repeat Example 2. The range of the blue trace is still very large, but not so large that a resonance disaster occurs.


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