The moment of inertia of thehuman body about an axis through its center of mass is importantin the application of biomechanics to sports such as diving and gymnastics. We can measure thebody’s moment of inertia in aparticular position while a personremains in that position on ahorizontal turntable, with the body’scenter of mass on the turntable’s rotationalaxis. The turntable with theperson on it is then accelerated fromrest by a torque that is produced byusing a rope wound around a pulleyon the shaft of the turntable. Fromthe measured tension in the rope andthe angular acceleration, we can calculatethe body’s moment of inertiaabout an axis through its center of mass.The moment of inertia of the empty turntable is 1.5 kg . m2.With a constant torque of 2.5 N . m, the turntable–person system takes3.0 s to spin from rest to an angular speed of 1.0 rad/s. What is theperson’s moment of inertia about an axis through her center of mass?Ignore friction in the turntable axle. (a) 2.5 kg . m2; (b) 6.0 kg. m2;(c) 7.5 kg . m2; (d) 9.0 kg. m2.
The moment of inertia of the
human body about an axis through its center of mass is important
in the application of biomechanics to sports such as diving and gymnastics. We can measure the
body’s moment of inertia in a
particular position while a person
remains in that position on a
horizontal turntable, with the body’s
center of mass on the turntable’s rotational
axis. The turntable with the
person on it is then accelerated from
rest by a torque that is produced by
using a rope wound around a pulley
on the shaft of the turntable. From
the measured tension in the rope and
the
the body’s moment of inertia
about an axis through its center of mass.The moment of inertia of the empty turntable is 1.5 kg . m2.
With a constant torque of 2.5 N . m, the turntable–person system takes
3.0 s to spin from rest to an angular speed of 1.0 rad/s. What is the
person’s moment of inertia about an axis through her center of mass?
Ignore friction in the turntable axle. (a) 2.5 kg . m2; (b) 6.0 kg. m2;
(c) 7.5 kg . m2; (d) 9.0 kg. m2.
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