A stone is suspended from the free end of a wire that is wrapped around the oute

Question

A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in the figure below. The pulley is a uniform disk with mass M = 14.0 kg and radius R = 49.5 cm and turns on frictionless bearings. You measure that the stone travels 14.0 m in the first 3.25 s starting from rest.

A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in the figure below. The pulley is a uniform disk with mass M = 14.0 kg and radius R = 49.5 cm and turns on frictionless bearings. You measure that the stone travels 14.0 m in the first 3.25 s starting from rest. Find the mass of the stone. kg Find the tension in the wire. N

Explanation / Answer

torque=I*alfa

moment of inertai of pully=mr^2/2=1.715

9.81*m*.495=1.715*alfa--------1

14/2*3.14*.495=4.5 revolutions=

theta=rad=28.28 rad

alfa=5.35

put eq 1

m=1.9 kg

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