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moment of inertia

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angular momentum

Overview page. Subjects: Science and Mathematics.

Symbol L. The product of the angular velocity of a body and its moment of inertia about the axis of rotation, i.e. L = Iω.

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centre of mass

Overview page. Subjects: Mathematics.

The point at which the whole mass of a body may be considered to be concentrated. This is the same as the centre of gravity, the point at which the whole weight of a body may be considered...

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compound pendulum

Overview page. Subjects: Mathematics.

A pendulum consisting of a rigid body that is free to swing about a horizontal axis. Suppose that the centre of gravity of the rigid body is a distance d from the axis, m is the mass of the...

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conservation of angular momentum

Overview page. Subjects: Science and Mathematics — Sports and Exercise Medicine.

The postulate, based on Newton's first law, that a rotating body will continue to turn about its axis of rotation with constant angular momentum unless an extended couple or eccentric force...

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density distribution within the Earth

Overview page. Subjects: Earth Sciences and Geography.

Our estimates of the total mass of the Earth, M, and therefore its mean density, rely on the measurement of gravity. Outside the Earth, at a distance r from the centre, this is, by Newton's...

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energy of rotation

Overview page. Subjects: Sports and Exercise Medicine.

The kinetic energy associated with rotation of a mass about an axis. It is expressed by E = Iw 2, where E is the kinetic energy of the mass, I is the mass's moment of inertia,...

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inertia

Overview page. Subjects: Science and Mathematics.

The tendency of an object to remain at the same velocity, or at rest, unless a force acts on it.

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parallel Axis Theorem

Overview page. Subjects: Sports and Exercise Medicine — Mathematics.

The following theorem about moments of inertia of a rigid body:

Theorem

Let I C be the moment of inertia of a rigid body about an...

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Perpendicular Axis Theorem

Overview page. Subjects: Mathematics.

The following theorem about moments of inertia of a lamina:

Theorem

Suppose that a rigid body is in the form of a lamina lying in the plane z=0. Let I null...

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phase transitions in the mantle

Overview page. Subjects: Earth Sciences and Geography.

Measurement of the velocity of seismic waves and determination of the Earth's moment of inertia indicate that at depths of 80–100km there appears to be a low velocity zone and from 400–900...

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