Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
11
Vibration and Waves
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11-1 to 11-3: Simple Harmonic Motion
11-4: Simple Pendulum
11-7 and 11-8: Waves
11-9: Energy Transported by Waves
11-11: Interference
11-12: Standing Waves; Resonance
11-13: Refraction
11-14: Diffraction

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 30
Q

What is the period of a simple pendulum 47 cm long

  1. on the Earth, and
  2. when it is in a freely falling elevator?
A
  1. 1.4 s 1.4 \textrm{ s}
  2. there is no net restoring force, so there is no oscillation nor period.
Giancoli 7th Edition, Chapter 11, Problem 30 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The period of this pendulum is 2π times the square root of his length divided by g. So, that's 2π times 47 centimeters converted into meters by multiplying by 10 to the minus 2 divided by 9.8 meters per second squared and that gives 1.4 seconds. If the pendulum was in a freely falling elevator there would be no net force in the pendulum. And so there's no restoring force and therefore no oscillation would be happening. There's no period in other words.

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