17.1 Mass Moment of Inertia
To introduce the methods used to determine the mass moment of inertia of a body.
To develop the planar kinetic equations of motion for a systemtric rigid body.
To discuss applications of these equations to bodies undergoing translation, rotation about a fixed axis, and general
plane motion.
17.1 Mass Moment of Inertia
Since a body has a definite size and shape, an applied nonconcurrent force system can cause the body to both translate and rotate. The translational aspects of the motion were studied in Chapter 13 and are governed by the equation F=ma. It will be shown in the next section that the rotational aspects, caused by a moment (M), are governed by an equation of the form . The symbol I this equation is termed the mass moment of inertia. By comparison, the moment of inertia is a measure of the resistance of a body to angular acceleration in the same way that mass is a measure of the body's resistance to acceleration.
The flywheel on the engine of this tractor has a large moment of inertia about its axis of rotation. Once it is set into motion, it will be difficult to stop, and this in turn will prevent the engine from the stalling and instead will allow it to maintain a constant power.
P.397
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