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Measuring Harmonic Motion

Measuring Harmonic Motion. Example 1. You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 12 seconds. How tall is the tower?. Example 2.

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Measuring Harmonic Motion

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  1. Measuring Harmonic Motion

  2. Example 1 You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 12 seconds. How tall is the tower?

  3. Example 2 If the length of the string in the previous problem was halved, what would the period be?

  4. Example 3 The cables of a trapeze are approximately 3.5 m long. What is the period of an acrobat swinging on this trapeze?

  5. Example 4 What is the frequency of an acrobat swinging on the trapeze described in Example 2?

  6. Example 5 Calculate the period and frequency of a 3.500m long pendulum at the following locations: The North Pole, where g= 9.832 m/s2

  7. Example 6 Calculate the period and frequency of a 3.500m long pendulum at the following locations: The Chicago, where g= 9.803 m/s2

  8. Example 7 Calculate the period and frequency of a 3.500m long pendulum at the following locations: The Jakarta, Indonesia, where g= 9.782 m/s2

  9. Example 8 The body of a 1250 kg car is supported on a frame by four springs, each of which has a spring constant of 20,000 N/m. Two people riding in the car have combined mass of 153 kg. Find the period of vibration of the car when it is driven over a pothole in the road.

  10. Example 9 What is the frequency of the vibration from Example 8?

  11. Example 10 If two more people enter the car, the occupants total mass increases to 255 kg. What is the period of vibration of the car now?

  12. Example 11 How long will it take the car in Example 10 to complete three vibrations?

  13. Example 12 A pendulum swings from maximum displacement on one side of equilibrium to maximum displacement on the opposite side of the equilibrium. If the pendulum swings through a total of 24 °, what is the amplitude of this vibration

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