Search results

...f Particles and Rigid Bodies, with an Introduction to the Problem of Three Bodies]] | edition = 4th | publisher = Dover Publications | location = New York | ...

...egrees of freedom]] of a [[kinematic chain]], that is, a coupling of rigid bodies by means of mechanical constraints.<ref name=Truesdell>{{cite book |title=R ...this number by the constraints that are imposed by joints connecting these bodies.<ref name=Uicker2003>J. J. Uicker, G. R. Pennock, and J. E. Shigley, 2003, ...

[[Category:Rigid bodies]] ...

{{Short description|Extend Newton's laws of motion to rigid bodies}} ...ion]] which extend [[Newton's laws of motion]] for [[point particle]] to [[rigid body]] motion.<ref name="McGillKing">{{cite book ...

In [[mathematics]], a '''rigid transformation''' (also called '''Euclidean transformation''' or '''Euclide ...is known as a '''rigid motion''', a '''Euclidean motion''', or a '''proper rigid transformation'''. ...

{{Short description|Kinematic pair which constrains bodies to pure rotation about a common axis}} ...straint not shown in the diagram. Almost all assemblies of multiple moving bodies include revolute joints in their designs. Revolute joints are used in numer ...

...math>\mathbb{R}^n</math>. This number depends on the size and shape of the bodies, and their relative orientation to each other. Let <math>K_1, K_2, \dots, K_r</math> be convex bodies in <math>\mathbb{R}^n</math> and consider the function ...

...follows: “It is proposed to list the different types of trajectories which bodies can move along when acted on by centripetal forces in the inverse ratio of ...f particles and rigid bodies; with an introduction to the problem of three bodies]] |last=Whittaker |first=Edmund Taylor |year=1917 |edition=Second |location ...

...odels and algorithms for simulating the changes in the motion of two solid bodies following collision and other forms of contact. == Rigid body contact == ...

{{Short description|Every rigid motion is a screw displacement}} ...cement.<ref>{{cite book | last=Heard | first=William B.| year=2006 | title=Rigid Body Mechanics | publisher=Wiley | page= 42 | isbn=3-527-40620-4}}</ref><re ...

{{Short description|Integrable rigid bodies in classical mechanics}} In [[classical mechanics]], the [[rotation]] of a [[rigid body]] such as a [[spinning top]] under the influence of [[gravity]] is not ...

...r the size of [[planet]]s and [[Small Solar System body|small Solar System bodies]]. Alternatively, the closely related '''mean diameter''' (<math>D</math>), For any irregularly shaped rigid body, there is a unique [[ellipsoid]] with the same volume and [[moments of ...

{{Short description|A rigid body with 3 distinct axes of inertia is unstable rotating about the middle ...ite AV media |publisher=Veritasium |title=The Bizarre Behavior of Rotating Bodies, Explained |date=September 19, 2019 |url=https://www.youtube.com/watch?v=1V ...

** a) the parts are [[rigid body|rigid bodies]], ** b) the parts are [[elastic body|elastic bodies]]; ...

...condition for evaluating the mechanics of toroidal self-gravitating fluid bodies in context.<ref>{{cite journal |last1=Nambo, E. C., Sarbach, O. |title=Stat ...D. Bisnovatyi-Kogan G. S. |title=Concave Hamburger Equilibrium of Rotating Bodies |journal=Symposium - International Astronomical Union |date=June 1980 |volu ...

...ed until a collision occurs, at which point they collide together as rigid bodies. ...e cut. If the elements meet again, they will behave as two different rigid bodies that have now contacted each other. For steel, the bars are cut if the stre ...

== Relative center of rotation for two contacting planar bodies == ...n.png|320px|thumb|right|Sketch 4: Example relative center of rotation. Two bodies in contact at ''C'', one rotating about ''A'' and the other about ''B'' mus ...

...[mechanics]], from mechanics of particles and [[rigid body mechanics|rigid bodies]] to [[fluid mechanics]] and [[control theory]]. ...space has this group structure. For example, the configuration space of a rigid body such as a satellite is the group of Euclidean motions (translations an ...

...s small. In this particular case of bending, displacements associated with rigid translations and rotations of material elements in the rod are much greater ...dy's average [[translation (physics)|translation]] and [[rotation]] (its [[rigid transformation]]).<ref name=Truesdell>{{cite book|last1=Truesdell |first1=C ...

...ite book|last=Rao|first=Anil Vithala|title=Dynamics of particles and rigid bodies: a systematic approach|publisher=[[Cambridge University Press]]|year=2006|i ...