Questions
A body of radius R and mass m is rolling smoothly with speed v on a horizontal surface. It then rolls up a hill to a maximum height h. If h = , what might the body be?
detailed solution
Correct option is A
Interpreting h as the height increase for all the centre of mass of the body, then mechanical energy conservation, Ki = Uf, leads to12mvcom2+12Iω2 = mgh ⇒ 12mv2+12I(vR)2 = mg(3v24g)from which v cancels and we obtain I = 12mR2This moment of inertia is the moment of inertia of solid cylinder.Talk to our academic expert!
Similar Questions
A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 300. The centre of mass of cylinder has speed of 4 ms-1. The distance travelled by the cylinder on the inclined surface will be
(Take, g = 10 ms-2
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