Questions
A small object of uniform density rolls up a curved surface with an initial velocity ''. It reaches upto a maximum height of with respect to the initial position. The object is
detailed solution
Correct option is B
The kinetic energy of the rolling object is converted into potential energy at heighth=3v24gSo by the law of conservation of mechanical energy, we have12Mv2+12Iω2=Mgh 12Mv2+12IvR2=Mg3v24g ∵ω=vR 12Iv2R2=34Mv2−12Mv2 12Iv2R2=14Mv2 or I=12MR2Hence, the object is disc.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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