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PRACTICE / Simple pendulum

What changes when gravity becomes weaker?

A small-angle pendulum has period T in a laboratory where gravitational acceleration is g. The same pendulum is taken to a location where gravity is g/4.

What is its new period?

Organize the givens & assumptions
  • Length unchanged
  • Initial gravity: g
  • New gravity: g/4

Same length, negligible drag, small oscillation angles at both locations, ideal point bob and light inextensible string.

  1. AT/2T/2
  2. BTT
  3. C2T2T
  4. D4T4T

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