Rolling on InclineMediumQuestion 30321
Question
A solid sphere and a hollow sphere of same mass and radius roll down the same incline from rest. Which reaches the bottom first?
- AHollow sphere
- BSolid sphereCorrect
- CBoth together
- DDepends on mass
Correct answer
Solid sphere
Explanation
Acceleration of rolling body: a = g sinθ/(1 + I/mR²). For solid sphere: I = 2mR²/5, so a = 5g sinθ/7. For hollow sphere: I = 2mR²/3, a = 3g sinθ/5. 5/7 > 3/5, so solid sphere has more acceleration and arrives first.