Published by:
CGP EDU Academic Team
Published on: September 12, 2026
While rising on the smooth surface, the sphere is still rolling.
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Analyze the conditions of rolling motion.
A sphere rolls without slipping when the point of contact with the surface has zero velocity relative to the surface. This happens when the translational speed of the center of mass is equal to the angular speed times the radius of the sphere.
Step 2: Apply principles of energy conservation.
As the sphere rises, gravitational potential energy increases while kinetic energy decreases, given that no energy is lost due to friction.
Step 3: Therefore, the motion can still be described as rolling without slipping due to the conservation of energy principles taking place.
Hence, the sphere continues to roll smoothly.
A sphere rolls without slipping when the point of contact with the surface has zero velocity relative to the surface. This happens when the translational speed of the center of mass is equal to the angular speed times the radius of the sphere.
Step 2: Apply principles of energy conservation.
As the sphere rises, gravitational potential energy increases while kinetic energy decreases, given that no energy is lost due to friction.
Step 3: Therefore, the motion can still be described as rolling without slipping due to the conservation of energy principles taking place.
Hence, the sphere continues to roll smoothly.
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