JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal place: \((i)\) a ring of radius \(R,\,(ii)\) a solid cylinder of radius \(\frac {R}{2}\) nd \((iii)\) a solid sphere of radius \(\frac {R}{4}.\) If, in each case, the speed of the center of mass at bottom of the incline is same, the ratio of the maximum heights they climb is
- A \(10 : 15 : 7\)
- B \(14: 15: 20\)
- C \(4 : 3 : 2\)
- D \(2 : 3 : 4\)
Answer & Solution
Correct Answer
(B) \(14: 15: 20\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{2}\left( {m + \frac{1}{{{R^2}}}} \right){v^2} = mgh\) If radius of gyration is, then…
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