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Homework Statement
A mass m is tied with a light string,which it's another end is winded at a axle fixed at wall,in which it's radius is r.
Assume there is no friction.The mass is released from rest and falls a distance S after time t.
Find the moment of inertia of the axle.(represents I in terms of m,r,t and S)
Homework Equations
work done by moment=0.5Iω^2
v=at
S=0.5at^2
The Attempt at a Solution
my final equation is as follows
TS=0.5Iω^2,where T is the tension
v=at=rαt where α is the angular acceleration
(mg-T)S=0.5mv^2
but i can't reach the requirement
maybe there are lots of error inside and sorry for my poor english