MP Board · Class 11 · Physics · System of Particles and Rotational MotionA ballerina stretches her hands out while spinning and then pulls them closer to her body. What happens to her angular velocity when she pulls her hands in?
Step-by-Step Solution
By pulling her hands in, mass is distributed closer to the axis of rotation, decreasing her moment of inertia ($I$). Since angular momentum $L = I\omega$ is conserved, decreasing $I$ causes the angular velocity $\omega$ to increase.
Detailed Options Breakdown
Option : Increases (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: Decreases
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 2: Remains constant
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 3: Becomes zero
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
💡 Study Guide: This question tests core syllabus concepts from System of Particles and Rotational Motion. For formulas, key summaries, and mock exam reference guides, read the full System of Particles and Rotational Motion Revision Notes.