IIT JEE , AIEEE Forum - Physics , Mechanics

garima4

A small spherical ball is released from a point at a height h on a rough track.Assuming that it does not slip anywhere , find its linear speed when it rolls on the horizontal part of the track?

For figure, please consult H.C.Verma page no. 200 problem no.--73

aditya_arora04

Hi,

As the sphere does not slip, v = rw

Now,

PE of sphere = Translational KE of sphere + Rotational KE of sphere

mgh = (1/2)mv² + (1/2)Iw²

w = v/r

gh = (1/2)v² + (1/2)(I/m)(v/r)²

solve to get v [ Here I is the moment of inertia of sphere ]

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