These are the default parameters. Use them in all the assignments if not specified differently:
Mass |
1 kg |
Length |
1 m |
 |
1 N m |
 |
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.