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PRACTICE / Uniformly accelerated reference frames

Balance in an accelerating frame

A 0.50 kg bob hangs from a light string in a carriage accelerating horizontally at 7.5 m/s². The bob has settled to a fixed angle relative to the carriage. Take g = 10 m/s².

Find the string tension.

Organize the givens & assumptions
  • m = 0.50 kg
  • a = 7.5 m/s²
  • g = 10 m/s²

Nonrotating carriage with constant horizontal acceleration; no oscillation relative to it; massless string and negligible air drag.

  1. A5.0 N5.0\ \mathrm N
  2. B3.75 N3.75\ \mathrm N
  3. C8.75 N8.75\ \mathrm N
  4. D6.25 N6.25\ \mathrm N

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