A) \[\sqrt{2gh}\]
B) \[\sqrt{\frac{7}{5}gh}\]
C) \[\sqrt{\frac{7}{2}gh}\]
D) \[\sqrt{\frac{10}{7}gh}\]
Correct Answer: D
Solution :
Minimum velocity for a body rolling without slipping\[v=\sqrt{\frac{2gh}{1+\frac{{{K}^{2}}}{{{R}^{2}}}}}\]For solid sphere,\[\frac{{{K}^{2}}}{{{R}^{2}}}=\frac{2}{5}\] \[\therefore \]\[v=\sqrt{\frac{2gh}{1+\frac{{{K}^{2}}}{{{R}^{2}}}}}=\sqrt{\frac{10}{7}gh}\]You need to login to perform this action.
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