Rolling MotionHardQuestion 6156
Question
A solid sphere rolls down incline from height h (no slipping). Speed at bottom:
- A√(2gh)
- B√(10gh/7)Correct
- C√(4gh/3)
- D√(gh)
Correct answer
√(10gh/7)
Explanation
mgh = ½mv²(1+I/mR²) = ½mv²×7/5. v² = 10gh/7. v = √(10gh/7).