A 26 kg child sits on a 2.2-m-long rope swing. You are going to give the...
A 26 kg child sits on a 2.2-m-long rope swing. You are going to give the child a small, brief push at regular intervals. If you want to increase the amplitude of her motion as quickly as possible, how much time should you wait between pushes?
Homework Answers
This resembles a simple pendulum.
The period of oscilation for any simple pendulum as this is, is
t = 2pi*sqrt(l/g) where l is the length of the pendulum.
t= 2pi*sqrt(2.2/9.81)
t= 2.98
so no matter how high you push the child or how much they weigh the
period will be 2.98 seconds which is how much time you should wait
in between pushes.
As you can see by the relation that the time period of simple pendulum does not depend on the mass of the bob.
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