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# Moment of Inertia

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### Damped Driven Torsion Harmonic Oscillator

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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...

### Driven Torsion Harmonic Oscillator

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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...

### Equations of Motion for a Round Object on an Inclined Plane

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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...

### Equations of Motion for a Round Object on an Inclined Plane Using Slope

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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...

### Moment of Inertia of a Thin Disk

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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...

### Moment of Inertia of a Cuboid

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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...

### Angular Momentum of a Rigid Body

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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.

### Damped Torsion Harmonic Oscillator

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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...

### Moment of Inertia of a Cylinder

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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...

### Moment of Inertia of a Triangular Plate

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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...

### Moment of Inertia of a Sphere

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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...

### Moment of Inertia of an Elliptical Lamina

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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 ...

### Moment of Inertia of a Thin Rod

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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...

### Moment of Inertia of a Point Mass

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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.

### Moment of Inertia Ratio

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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.

### Moment of Inertia of an Ellipsoid

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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...

### Moment of Inertia of a Cone

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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...

### Parallel Axis Theorem

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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 ...

### Rolling Motion

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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...

### Rotational Kinetic Energy

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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.

### Torque Using Moment of Inertia

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Torque is a rotational force.

### 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.