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rigid body | A Wisdom Archive on rigid body | | rigid body A selection of articles related to rigid body | |
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rigid body
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| ARTICLES RELATED TO rigid body | | | |  rigid body: Encyclopedia II - Torque - Relationship between torque and powerIf a force is allowed to act through a distance, it is doing mechanical work. Similarly, if torque is allowed to act through a rotational distance, it is doing work. Power is the work per unit time. However, time and rotational distance are related by the angular speed where each revolution results in the circumference of the circle being travelled by the force that is generating the torque. This means that torque that is causing the angular speed to increase is doing work an ...
See also:Torque, Torque - Units, Torque - Special cases and other facts, Torque - Moment arm formula, Torque - Force at an angle, Torque - Static equilibrium, Torque - Torque as a function of time, Torque - Machine torque, Torque - Relationship between torque and power, Torque - Conversion to other units, Torque - Derivation Read more here: » Torque: Encyclopedia II - Torque - Relationship between torque and power |
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| | | | | rigid body: Encyclopedia II - Optimization mathematics - Uses Problems in rigid body dynamics (in particular articulated rigid body dynamics) often require mathematical programming techniques, since you can view rigid body dynamics as attempting to solve an ordinary differential equation on a constraint manifold; the constraints are various nonlinear geometric constraints such as "these two points must always coincide", "this surface must not penetrate any other", or "this point must always lie somewhere on this curve". Also, the problem of computing contact forces can be done by solving a linear complementarity problem, which can also b ...
See also:Optimization mathematics, Optimization mathematics - Notation, Optimization mathematics - Major subfields, Optimization mathematics - Techniques, Optimization mathematics - Uses, Optimization mathematics - History Read more here: » Optimization mathematics: Encyclopedia II - Optimization mathematics - Uses |
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| | | | | | rigid body: Encyclopedia II - Rotating reference frame - Relation between velocities in the two frames If (x,y,z) are the co-ordinates of a body, and are hence functions of time, the time-derivatives of positions (X,Y) in the rotating frame depend on those of in the stationary frame (x and y). So,
Note that (X,Y) in the equations are velocitie ...
See also:Rotating reference frame, Rotating reference frame - Position transformation formulae, Rotating reference frame - Relation between velocities in the two frames, Rotating reference frame - Relation between accelerations in the two frames, Rotating reference frame - Explanation of effects, Rotating reference frame - Exploiting the vector outer product Read more here: » Rotating reference frame: Encyclopedia II - Rotating reference frame - Relation between velocities in the two frames |
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| | | | | | | | rigid body: Encyclopedia II - Rotating reference frame - Explanation of effects To describe the physics in the rotating frame , an observer thus sees force = mass.acceleration modified by, in effect, the addition of two forces which arise as artefacts of their choice of frame of reference. General relativity is quite happy to let us use the rotating frame, and effectively regards the two artificial forces as part of gravitation.
Rotating reference frame - Exploiting the vector outer product.
In three dimensions (and, only in three dimensions) there is a product operator (which actually depends on your metric) ...
See also:Rotating reference frame, Rotating reference frame - Position transformation formulae, Rotating reference frame - Relation between velocities in the two frames, Rotating reference frame - Relation between accelerations in the two frames, Rotating reference frame - Explanation of effects, Rotating reference frame - Exploiting the vector outer product Read more here: » Rotating reference frame: Encyclopedia II - Rotating reference frame - Explanation of effects |
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| | | | | rigid body: Encyclopedia II - Euler angles - Applications Euler angles are used extensively in the classical mechanics of rigid bodies, and in the quantum mechanics of angular momentum.
When studying rigid bodies, one calls the xyz system space coordinates, and the XYZ system body coordinates. The space coordinates are treated as unmoving, while the body coordinates are considered embedded in the moving body. Calculations involving kinetic energy are usually easiest in body coordinates, because the three components of a rigid body's moment of inertia are then constant.
The angular velocity, in body coordinates, of a rigid body takes a simple f ...
See also:Euler angles, Euler angles - Definition, Euler angles - Angle ranges, Euler angles - Relation to physical motions, Euler angles - Equivalence of the definitions, Euler angles - Conventions, Euler angles - Properties of Euler angles, Euler angles - Applications, Euler angles - External link Read more here: » Euler angles: Encyclopedia II - Euler angles - Applications |
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| | | | | | rigid body: Encyclopedia II - Tide - Tides & fluids Tides and tidal effects happen in general whenever a mass with some volume moves in a gravitational field that is not uniform. This is, they always happen. For example, in one way or the other, all objects moving in space will see some form of tidal forces. By acting on an ideal rigid body, by definition tides will not deform the body. Many bodies which are moving within the solar system, for example, are not rigid but merely balls of gas or fluids, hovering in empty space (Sometimes they have a very thin solid crust). Tidal forces generate ...
See also:Tide, Tide - Tidal terminology, Tide - Timing, Tide - Tidal physics, Tide - Tidal amplitude and cycle time, Tide - Tidal lag, Tide - Alternative explanation, Tide - Tides & fluids, Tide - Tides and navigation, Tide - Other tides Read more here: » Tide: Encyclopedia II - Tide - Tides & fluids |
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| | | | | | | rigid body: Encyclopedia II - Cinema 4D - Modules As well as the core application (for modeling, texturing, lighting and rendering), CINEMA 4D also has several add-on programs available that expand its capabilites. These programs include:
Advanced Render (global illumination/HDRI, caustics, ambient occlusion and sky simulation)
BodyPaint 3D (direct painting on UVW meshes)
Dynamics (for simulating soft body and rigid body dynamics)
HAIR (simulates hair, fur, grass, etc.)
MOCCA (character animation and cloth simulation)
NET Render (to ...
See also:Cinema 4D, Cinema 4D - Overview, Cinema 4D - Modules, Cinema 4D - Program History Read more here: » Cinema 4D: Encyclopedia II - Cinema 4D - Modules |
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| | | | | | | rigid body: Encyclopedia II - Antipsychotic - Side effects The range of interactions can produce different adverse effects including extrapyramidal reactions, including acute dystonias, akathisia, rigidity and tremor, tardive dyskinesia, tachycardia, hypotension, impotence, lethargy, seizures, and hyperprolactinaemia.
The atypical antipsychotics (especially olanzapine) seem to cause weight gain more commonly than the typical antipsychotics.
Clozapine also has a risk of inducing agranulocytosis, a potentially dangerous reduction in the number of white blood cells in the body. Because of ...
See also:Antipsychotic, Antipsychotic - Common antipsychotic drugs, Antipsychotic - Drug action and effectiveness, Antipsychotic - Side effects, Antipsychotic - History and design, Antipsychotic - External link Read more here: » Antipsychotic: Encyclopedia II - Antipsychotic - Side effects |
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| | | | | | rigid body: Encyclopedia II - Encephalitis lethargica - Symptoms It is characterized by high fever, headache, double vision, delayed physical and mental response, and lethargy. In acute cases, patients may enter coma. Patients may also experience abnormal eye movements, upper body weakness, muscular pains, tremors, neck rigidity, and behavioral changes including psychosis.
Postencephalitic Parkinson's disease may develop after a bout of encephalitis, sometimes as long as a year after the illness.
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See also:Encephalitis lethargica, Encephalitis lethargica - Symptoms, Encephalitis lethargica - Cause, Encephalitis lethargica - Treatment, Encephalitis lethargica - Popular culture Read more here: » Encephalitis lethargica: Encyclopedia II - Encephalitis lethargica - Symptoms |
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| | | | | | | rigid body: Encyclopedia II - Rotational motion - Introduction Rotational motion is similar to circular motion, except the object involved is a rigid body in which all points rotate around the center of mass of the object and not around a fixed point.
Rotational motion can be pure rotational motion or a combination of translation and rotation.
Pure rotational motion is circular movement in which all points in the body move in circles, and that the centers of these circles all lie on a line called the axis of rotation. Pure Rotation is caused by an arrangement called a 'force couple'. This is where two equal and opposite forces act on the o ...
See also:Rotational motion, Rotational motion - Introduction, Rotational motion - Angular Quantities, Rotational motion - Angular Displacement, Rotational motion - Angular Velocity, Rotational motion - Angular acceleration, Rotational motion - Torque, Rotational motion - Rotational Inertia, Rotational motion - Angular Momentum Read more here: » Rotational motion: Encyclopedia II - Rotational motion - Introduction |
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