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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Rotational Motion

AIIMS 2011 · Physics · Rotational Motion

What is the moment of inertia for a solid sphere w.r.t. a tangent...

What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?

Options

  1. A25MR2\frac{2}{5} M R^2
  2. B75MR2\frac{7}{5} M R^2
  3. C23MR2\frac{2}{3} M R^2
  4. D53MR2\frac{5}{3} M R^2

Correct answer

B. 75MR2\frac{7}{5} M R^2

Step-by-step solution

What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?
The moment of inertia for a solid sphere along its diameter is I_{diameter \text{diameter }}=25\frac{2}{5}M R² Moment of inertia about a tangent touching to its surface, I_{tangent \text{tangent }}=I_{diameter \text{diameter }}+M R² (using theorem of parallel axes) =25\frac{2}{5}M R²+M R²=75\frac{7}{5}M R²
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