4. At what point in the pendulum's swing is the velocity the greatest?

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Waves and Periodic Motion
Name
Pd
SHOW ALL WORK
1. What is the only property of a pendulum which determines its period?
2. Frank has a mass of 30 kg. He is sitting on a swing which is 2.3 m long. His dad pulls him up to a height
of 1.2 m above his lowest point and releases him.
a. What is his period?
b. What is Frank's frequency?
3. Think about the pendulum in a grandfather clock
a. How long would the pendulum need to be for its period to be 1.0 s?
b. How long would the pendulum need to be for its period to be 2.0 s?
4. At what point in the pendulum's swing is the velocity the greatest?
5. Suppose I have a spring with a spring constant of 50 N/m and I hang a mass of 2.0 kg from it. If I pull it
down an additional 0.40 m, hold it at rest, and release it then
a. What is its period? (1.26 s)
b. What is its frequency?
6. What mass would I need to hang from a spring with a constant of 12 N/m to give it a period of 2.5
seconds?
7. What would the spring constant need to be to give a 3.0 kg mass a period of 1.8 second?
Transcribed Image Text:Waves and Periodic Motion Name Pd SHOW ALL WORK 1. What is the only property of a pendulum which determines its period? 2. Frank has a mass of 30 kg. He is sitting on a swing which is 2.3 m long. His dad pulls him up to a height of 1.2 m above his lowest point and releases him. a. What is his period? b. What is Frank's frequency? 3. Think about the pendulum in a grandfather clock a. How long would the pendulum need to be for its period to be 1.0 s? b. How long would the pendulum need to be for its period to be 2.0 s? 4. At what point in the pendulum's swing is the velocity the greatest? 5. Suppose I have a spring with a spring constant of 50 N/m and I hang a mass of 2.0 kg from it. If I pull it down an additional 0.40 m, hold it at rest, and release it then a. What is its period? (1.26 s) b. What is its frequency? 6. What mass would I need to hang from a spring with a constant of 12 N/m to give it a period of 2.5 seconds? 7. What would the spring constant need to be to give a 3.0 kg mass a period of 1.8 second?
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