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Question 30274
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Laws of Motion and Friction: Advanced — Wedge Block MCQ

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Advanced — Wedge BlockHardQuestion 30274

Question

A wedge (angle θ, mass M) is on a frictionless floor. A block (mass m) rests frictionlessly on the wedge. If both are free to move, the acceleration of the wedge is:
  1. A
    mg sinθ/(M+m)
  2. B
    mg sinθ cosθ/(M+m sin²θ)
    Correct
  3. C
    mg cosθ/(M+m)
  4. D
    mg tanθ/(M+m)

Correct answer

mg sinθ cosθ/(M+m sin²θ)

Explanation

This is a standard advanced problem. Using Lagrangian or Newton's laws with constraints, the wedge acceleration = mg sinθ cosθ/(M + m sin²θ).

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