The moment of truth

Modern Healthcare
|November 9, 2013
PubMed
Summary

The Affordable Care Act

Related Concept Videos

Moment of Inertia: Calculations01:09

Moment of Inertia: Calculations

The moment of inertia of an object depends on its axis of rotation. Consider a barbell consisting of two masses attached to the ends of a rod. The masses at the end can be considered point masses, and the rod can be assumed to have negligible weight. The moment of inertia of the barbell can be calculated using the mathematical definition of the moment of inertia once the system's rotation axis is decided. Suppose the point masses m are fixed at a distance R from the center of the rod,...
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Moments and Product of Inertia01:23

Moments and Product of Inertia

The calculation of the moment of inertia for a differential element within a rigid body involves multiplying the element's mass by the square of the minimum distance from any one of the three-coordinate axes to the said element. This is a process that can be extended to cover the entire mass of the body by simply integrating the expression, thereby ascertaining the body's moment of inertia.
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Moment of Inertia about an Arbitrary Axis01:20

Moment of Inertia about an Arbitrary Axis

The moment of inertia is typically associated with principal axes, but it can also be computed for any random axis. When an arbitrary axis is under consideration, the moment of inertia is determined by integrating the mass distribution of the object along that specific axis. It is crucial in applications like the design of machinery, where components rotate about various axes, and balance and stability are essential.
In this scenario, the perpendicular distance between the chosen arbitrary axis...
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Moment of Inertia01:14

Moment of Inertia

The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
If a rigid body is rotating about an axis but is not in translational motion, its translational kinetic energy is zero. However, since each particle undergoes rotational motion, it possesses non-zero velocity and kinetic energy. Thus, the kinetic energy of the rigid body, which is the sum of the...
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Mass Moment of Inertia01:10

Mass Moment of Inertia

The mass moment of inertia is a measure of the resistance of a rigid body to angular acceleration. This physical quantity can be evaluated and analyzed in various rotational motions, from everyday objects such as fans and wind turbines to complex machines used in challenging industries.
Consider a differential mass element on an arbitrary object. The differential moment of inertia can be calculated by multiplying the mass of the element by the square of its distance from the object's rotational...
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Moment of Inertia of Compound Objects01:07

Moment of Inertia of Compound Objects

The moment of inertia is a quantitative measure of the rotational inertia of an object. It is defined as the sum of the products obtained by multiplying the mass of each particle of matter in a given body by the square of its distance from the axis. The total moment of inertia for compound objects can be found by determining and adding the moment of inertia of individual components together.
Consider a child of mass (mc) 25 kg standing at a distance (rc) of 1 m from the axis of a rotating...
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