Questions
A body is rolling down an inclined plane. If kinetic energy of rotation is 40% of kinetic energy in translatory state, then the body is a
detailed solution
Correct option is D
Rotational kinetic energy isKR = 12Iω2 = 12Mk2(vR)2 (I - Mk2 and v = Rω) = 12Mv2(k2R2)Translational kinetic energy isKT = 12Mv2As per question, KR = 40% KT12Mv2(k2R2) = 40%12Mv2 or k2R2 = 40100 = 25For solid sphere, k2R2= 25Hence, the body is solid ball.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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