Category
Moment of Inertia
22 items
Damped Driven Torsion Harmonic Oscillator
Wolfram Research
A torsion harmonic oscillator is a twisting system that, when displaced from its equilibrium position, experiences a restoring force proportional to the displacement. A damped driven torsion harmonic oscillator experi...
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Driven Torsion Harmonic Oscillator
Wolfram Research
A torsion harmonic oscillator is a twisting system that, when displaced from its equilibrium position, experiences a restoring force proportional to the displacement. A driven torsion harmonic oscillator experiences a...
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Equations of Motion for a Round Object on an Inclined Plane
Wolfram Research
The equations of motion for a round object on an inclined plane are the equations that describe the behavior of the object in terms of its motion as a function of time. An inclined plane is a flat supporting surface t...
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Equations of Motion for a Round Object on an Inclined Plane Using Slope
Wolfram Research
The equations of motion for a round object on an inclined plane are the equations that describe the behavior of the object in terms of its motion as a function of time. An inclined plane is a flat supporting surface t...
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Moment of Inertia of a Thin Disk
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a disk of infinitesimal thickness, the moments of in...
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Moment of Inertia of a Cuboid
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform solid cuboid, the moment of inertia is tak...
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Angular Momentum of a Rigid Body
Wolfram Research
Angular momentum is the rotational analog of linear momentum. For a rigid body, it equals the cross-product of the particle's position vector (relative to some origin) and its momentum vector.
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Damped Torsion Harmonic Oscillator
Wolfram Research
A torsion harmonic oscillator is a twisting system that, when displaced from its equilibrium position, experiences a restoring force proportional to the displacement. A damped torsion harmonic oscillator experiences a...
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Moment of Inertia of a Cylinder
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform solid cylinder, the moments of inertia are...
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Moment of Inertia of a Triangular Plate
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform triangular plate, the moments of inertia a...
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Moment of Inertia of a Sphere
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analogue to mass. For a uniform solid sphere, the moments of inertia are...
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Moment of Inertia of an Elliptical Lamina
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform elliptical lamina, the moments of inertia ...
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Moment of Inertia of a Thin Rod
Wolfram Research
The parallel and perpendicular moments of inertia of a uniform, infinitely thin rod are taken through its center of mass. The rod is taken to be a one-dimensional wire. In the case of the perpendicular moment of inert...
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Moment of Inertia of a Point Mass
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass.
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Moment of Inertia Ratio
Wolfram Research
The moment of inertia ratio is the ratio of the actual moment of inertia to an object's inertia if it were a point mass.
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Moment of Inertia of an Ellipsoid
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform solid ellipsoid, the moments of inertia ar...
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Moment of Inertia of a Cone
Wolfram Research
The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass. For a uniform solid cone, the moments of inertia are tak...
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Parallel Axis Theorem
Wolfram Research
The parallel axis theorem can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's ...
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Rolling Motion
Wolfram Research
Rolling is a type of motion that combines rotation (commonly of an axially symmetric object) and translation of that object with respect to a surface (either one or the other moves), such that, if ideal conditions exi...
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Rotational Kinetic Energy
Wolfram Research
Rotational kinetic energy, or angular kinetic energy, is kinetic energy due to the rotation of an object and is part of its total kinetic energy.
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Torsion Harmonic Oscillator
Wolfram Research
A torsion harmonic oscillator is a twisting system that, when displaced from its equilibrium position, experiences a restoring force proportional to the displacement.