Questions and Answers
What determines the torque needed for a desired angular acceleration about a rotational axis?
Moment of inertia
What property is the moment of inertia?
Extensive (additive)
For a point mass, what is the moment of inertia?
The mass times the square of the perpendicular distance to the axis of rotation
What is the moment of inertia of a rigid composite system?
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What is the simplest definition of the moment of inertia?
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the moment of inertia is a quantity that determines the ______ needed for a desired angular acceleration
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the moment of inertia is an extensive (additive) property: for a point mass the moment of inertia is simply the mass times the square of the perpendicular ______ to the axis of rotation
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The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same ______)
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Its simplest definition is the second moment of mass with respect to ______ from an axis
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For bodies constrained to rotate in a plane, only their moment of inertia about an ______
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Study Notes
Torque and Angular Acceleration
- The torque needed for a desired angular acceleration about a rotational axis is determined by the moment of inertia.
Moment of Inertia
- The moment of inertia is a property that determines the torque needed for a desired angular acceleration.
- It is an extensive (additive) property.
- For a point mass, the moment of inertia is the mass times the square of the perpendicular distance to the axis of rotation.
- The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same axis).
- The simplest definition of the moment of inertia is the second moment of mass with respect to distance from an axis.
- For bodies constrained to rotate in a plane, only their moment of inertia about an axis perpendicular to the plane is relevant.
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