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Dynamics_Hibbeler_CH17_1

# Dynamics_Hibbeler_CH17_1 - MOMENT OF INERTIA Todays...

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MOMENT OF INERTIA Today’s Objectives : Students will be able to: 1. Determine the mass moment of inertia of a rigid body or a system of rigid bodies. In-Class Activities : Check Homework Reading Quiz Applications Mass Moment of Inertia Parallel-Axis Theorem Composite Bodies Concept Quiz Group Problem Solving Attention Quiz

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READING QUIZ 1. Mass moment of inertia is a measure of the resistance of a body to _____________. A) translational motion B) deformation C) angular acceleration D) impulsive motion 2. Mass moment of inertia is always ____________. A) a negative quantity B) a positive quantity C) an integer value D) zero about an axis perpendicular to the plane of motion
APPLICATIONS The large flywheel in the picture is connected to a large metal cutter. The flywheel mass is used to help provide a uniform motion to the cutting blade. What property of the flywheel is most important for this use? How can we determine a value for this property? Why is most of the mass of the flywheel located near the flywheel’s circumference?

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APPLICATIONS (continued) The crank on the oil-pump rig undergoes rotation about a fixed axis that is not at its mass center. The crank develops a kinetic energy directly related to its mass moment of inertia. As the crank rotates, its kinetic energy is converted to potential energy and vice versa. Is the mass moment of inertia of the crank about its axis of rotation smaller or larger than its moment of inertia about its center of mass?
MASS MOMENT OF INERTIA Consider a rigid body with a center of mass at G. It is free to rotate about the z axis, which passes through G. Now, if we apply a torque T about the z axis to the body, the body begins to rotate with an angular acceleration of α . T and

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Dynamics_Hibbeler_CH17_1 - MOMENT OF INERTIA Todays...

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