Pendulum homework
1. When we say the “period of the pendulum,” what
exactly do we mean?
2. What does the period of a simple pendulum most depend
on?
3. What is the basic shape of the graph for the
period of a pendulum versus its length?
Please draw this.
4. What is the basic shape of the graph for the
period of a pendulum versus the mass of the bob?
5. Imagine that you have a “motion detector” set up
close to the pendulum – something that could track the pendulum bob as it
oscillates. What might a graph of
location/position versus time resemble for several oscillations?
6. Where in the pendulum’s path does it come to a
complete stop?
7. Where in the pendulum’s path does it have
maximum speed?
8. Given what you know about energy, how might you
describe the energy of the pendulum
9. Calculate
the period of a 3-m long pendulum.
10. How
long should a pendulum be so that it has a 0.5-s long period?
11. How
does the period of a pendulum depend on gravitational acceleration?
12. How does the period of a 1-m long pendulum vary on the Moon (versus the Earth)? The acceleration due to gravity on the Moon is 1/6 that of Earth. So, how does the period of oscillation compare (exactly) to that on Earth. Try to come up with some type of comparative equation.
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