TS EAMCET · Physics · Rotational Motion
A hollow cylinder and a solid cylinder initially at rest at the top of an inclined plane are rolling down without slipping. If the time taken by the hollow cylinder to reach the bottom of the inclined plane is 2 s , the time taken by the solid cylinder to reach the bottom of the inclined plane is
- A 2 s
- B 1.414 s
- C 1 s
- D 1.732 s
Answer & Solution
Correct Answer
(D) 1.732 s
Step-by-step Solution
Detailed explanation
For rolling on an inclined plane, Time, \(\mathrm{t}=\sqrt{\frac{21}{\mathrm{a}}}=\sqrt{\frac{21}{\mathrm{~g} \sin \theta}\left(1+\frac{\mathrm{K}^2}{\mathrm{R}^2}\right)}\) \(\Rightarrow t \propto \sqrt{1+\frac{K^2}{R^2}}\) \(\therefore\) For hollow cylinder,…
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