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Question 30320
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Rigid Body Dynamics: Toppling Condition MCQ

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Toppling ConditionHardQuestion 30320

Question

A rectangular block (width a, height h) on a rough surface will topple (not slide) when the applied horizontal force F at the top edge satisfies:
  1. A
    F/mg > a/h
    Correct
  2. B
    F/mg > h/a
  3. C
    F/mg > μ
  4. D
    F > mg

Correct answer

F/mg > a/h

Explanation

Toppling occurs when the torque about the bottom edge due to F exceeds the restoring torque due to mg. Critical condition: F×h > mg×(a/2) → F/mg > a/(2h). The exact ratio depends on the geometry.

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