NEET2011PhysicsRotational MotionActual
What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?
Options
- A2 5 M R^2
- B7 5 M R^2
- C2 3 M R^2
- D5 3 M R^2
Correct answer
B. 7 5 M R^2
Step-by-step solution
The moment of inertia for a solid sphere along its diameter is I_ diameter = 2 5 M R^2 Moment of inertia about a tangent touching to its surface, I_ tangent =I_ diameter +M R^2 (using theorem of parallel axes) = 2 5 M R^2+M R^2= 7 5 M R^2