A 15 kg mass hangs in the loop of a light inextensible cable, one end of the cable being fixed and the other wound round a wheel of radius 0.3m and moment of Inertia 0.9 kgm^2 so that the lengths of the cable are vertical. The mass is released from rest and falls, turning the wheel (take g=9.81). Neglecting friction between the mass and the loop of the cable and between the wheel and its bearings, find:
a relationship between the downward velocity of the mass, v, and the angular velocity of the wheel, w.
the speed of the mass when it has fallen a distance of 2m
the number of turns of the wheel before it reaches a rotation rate of 300rpm
2007-08-20
01:15:44
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4 answers
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asked by
Anonymous
in
Physics