System of Particles and Rotational Motion · Class 11 · CBSE · Science Physics
A solid sphere, a hollow sphere, a solid cylinder, and a hollow cylinder of the same mass and radius are allowed to roll down an inclined plane from…
Practice question from System of Particles and Rotational Motion (Class 11 · CBSE · Science Physics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-A196E0
A solid sphere, a hollow sphere, a solid cylinder, and a hollow cylinder of the same mass and radius are allowed to roll down an inclined plane from rest at the same height simultaneously. Which of them reaches the bottom of the incline first?
- A.Solid sphereCorrect answer
- B.Hollow sphere
- C.Solid cylinder
- D.Hollow cylinder
Solution
The acceleration of a rolling body down an inclined plane is inversely proportional to . The body with the smallest moment of inertia coefficient has the largest acceleration and reaches the bottom first. Solid sphere has (coefficient ), which is the smallest among the given bodies.
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