A light rope is wrapped several times around a large wheel with a radius of 0.43
ID: 2110764 • Letter: A
Question
A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure . The free end of the rope is tied to a suitcase with a mass of 15.5 kg. The suitcase is released from rest at a height of 4.00 above the ground. The suitcase has a speed of 3.45 m/s when it reaches the ground.
Calculate the moment of inertia of the wheel.
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A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure . The free end of the rope is tied to a suitcase with a mass of 15.5 kg. The suitcase is released from rest at a height of 4.00 above the ground. The suitcase has a speed of 3.45 m/s when it reaches the ground. Calculate the moment of inertia of the wheel.Explanation / Answer
mg-T=ma Tr=Ia/r v^2=2ah a=1.49 T=m(g-a) T=128.8 128.8r=Ia/r I=16.36 kgm^2
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