These are the default parameters. Use them in all the assignments if not specified differently:
Mass |
1 kg |
Length |
1 m |
|
1 Nm |
|
0.5 m |
|
|
|
|
Most of the results can be checked using the Java simulation!!
- Calculate and (you may use the small angle approximations).
- Use and to calculate the beat and envelope frequency.
- Adjust the parameters in such a way that is twice as much as . You may choose which parameters you change.
- Do the same, but now adjust them in such a way that exactly 5 beats fit in 1 envelope.
- Derive formula's for and if we not only set
but also
.
- The pendula have a lenght, width and a depth. Why is the depth never used in deriving the equations of motion?
- Explain what you would expect to happen when the spring is not connected at the same height () for both pendula.