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.If the body’s center of mass were not placed on the rotational axis of the turntable, how would the person’s measured moment of inertia compare to the moment of inertia for rotation about the center of mass? (a) The measured moment of inertia would be too large; (b) the measured moment of inertia would be too small; (c) the two moments of inertia would be the same; (d) it depends on where the body’s center of mass is placed relative to the center of the turntable.
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.If the body’s center of mass were not placed on the rotational axis of the turntable, how would the person’s measured moment of inertia compare to the moment of inertia for rotation about the center of mass? (a) The measured moment of inertia would be too large; (b) the measured moment of inertia would be too small; (c) the two moments of inertia would be the same; (d) it depends on where the body’s center of mass is placed relative to the center of the turntable.
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.If the body’s center of mass were not placed on the rotational axis of the turntable, how would the person’s measured moment of inertia compare to the moment of inertia for rotation about the center of mass? (a) The measured moment of inertia would be too large; (b) the measured moment of inertia would be too small; (c) the two moments of inertia would be the same; (d) it depends on where the body’s center of mass is placed relative to the center of the turntable.
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 angular acceleration, we can calculate the body’s moment of inertia about an axis through its center of mass.If the body’s center of mass were not placed on the rotational axis of the turntable, how would the person’s measured moment of inertia compare to the moment of inertia for rotation about the center of mass? (a) The measured moment of inertia would be too large; (b) the measured moment of inertia would be too small; (c) the two moments of inertia would be the same; (d) it depends on where the body’s center of mass is placed relative to the center of the turntable.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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