It comes from the Latin rigidus, from the verb rig(ēre), meaning “to be stiff” or “to stiffen.” The word rigor and rigorous are based on the same root, as is the first part of the medical term rigor mortis, which refers to the state of the body when it becomes rigid after ...
We derive and discuss equations of motion of rigid bodies of infinitesimal size in a Riemann space. The treatment is nonrelativistic. The rigorous meaning of "infinitisemal size" consists in replacing an extended body by the structured material point with internal degrees of freedom (co-moving ...
This says that for all other objects, perform 'default' collision handling. In addition, there is a rule based on the filterDatas that determines particular pairs where we ask for touch notifications. To understand what this means, we need to know the special meaning that the sample gives to...
Its base word, rigid, comes from the Latin rigidus, from the verb rig(ēre), meaning “to be stiff” or “to stiffen.” The word rigor and rigorous are based on the same root, as is the first part of the medical term rigor mortis, which refers to the state of the body when it...
The mechanical meaning of the equations, which are represented in several different forms, particularly in the form of Lagrangian equations, is explained. The problem of solutions of the equations of motion is examined together with the conditions under which they are valid. The chapter concludes ...
For rotations, the moment of inertia is analogous to mass for linear motion. It defines how hard it is to change the angular velocity of a rigid body. In two dimensions it is a scalar and is defined as: whereVmeans that this integral should be performed for all points throughout body ...
Therefore, the distance between two rigid bodies belonging to two different layers formed by shear flow is greater than 2 nm, meaning that collisions between them are less likely to occur. Therefore, the main influence on the viscosity of the system is the collisions between fluid particles and...
Part I: An Introduction to Rigid Body Dynamics Part II: Collision Detection for Solid Objects In Part I of this series, we saw how the free motion of rigid bodies can be simulated. In Part II, we saw how to make bodies aware of each other through collision and proximity tests. Up to...
The first rigid body system we consider is the benchmark example “heavy top”; see Fig. 1. Two simulation cases are considered, which are described in the following two sections. In both cases, we simulate the motion of the heavy top over a period of t=1 s. Model parameters and initi...
In the case of pure rolling (of say, a cylinder), the trajectory of any point on its rim will be a cycloid. More generally, the trajectory of any point on the body will be a trochoid. How does this change as the body slips willwhile rolling (transrotational motion)?2...