A physics student of mass 43.0 kg is standing at the edge of theflat roof of a building, 12.0 m above the sidewalk. An unfriendly dog isrunning across the roof toward her. Next to her is a large wheel mountedon a horizontal axle at its center. The wheel, used to lift objects from theground to the roof, has a light crank attached to it and a light rope wrappedaround it; the free end of the rope hangs over the edge of the roof. Thestudent grabs the end of the rope and steps off the roof. If the wheel hasradius 0.300 m and a moment of inertia of 9.60 kg . m2 for rotation aboutthe axle, how long does it take her to reach the sidewalk, and how fast willshe be moving just before she lands? Ignore friction in the axle.
A physics student of mass 43.0 kg is standing at the edge of the
flat roof of a building, 12.0 m above the sidewalk. An unfriendly dog is
running across the roof toward her. Next to her is a large wheel mounted
on a horizontal axle at its center. The wheel, used to lift objects from the
ground to the roof, has a light crank attached to it and a light rope wrapped
around it; the free end of the rope hangs over the edge of the roof. The
student grabs the end of the rope and steps off the roof. If the wheel has
radius 0.300 m and a moment of inertia of 9.60 kg . m2 for rotation about
the axle, how long does it take her to reach the sidewalk, and how fast will
she be moving just before she lands? Ignore friction in the axle.
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