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GR0877 Problem 59

PROBLEM STATEMENT: This problem is still being typed.

SOLUTION: (C) Elimination of choices. (A): wrong, the period must depends on a; (B): for a particular case a = g the period blows up — wrong; (C): reasonable; (D): for a = 0, T = 0 — wrong; (E): for a = 0, T blows up — wrong. Thus, choice (C).

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Categories: 0877 Tags: , , , ,
  1. PineApple
    15.10.2011 at 00:57

    A direct solution without elimination of others: In the elevator’s frame, there is an effective gravitational acceleration g'=g+a. Therefore, the period is 2 \pi \sqrt{l/g'}= 2 \pi \sqrt{\frac{l}{g+a}}

  2. WobbleWheel
    06.11.2011 at 20:50

    As PineApple notes, the important thing is that the accelerating frame ADDS to the acceleration. If the elevator were accelerating downwards the answer would be B. Then if a=g, then the period would in fact blow up, since the pendulum would not oscillate.

  3. physics_dan
    01.04.2014 at 05:09

    At first, I thought it meant g = positive if we treat upward acceleration to be negative, so if that’s the convention B is correct.

  4. Arturodonjuan
    29.08.2016 at 09:43

    Equivalence principle. That is all.

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