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 ...
Lorentz contraction, Bell's spaceships, and rigid body motion in special relativity The meaning of Lorentz contraction in special relativity and its connection with Bell's spaceships parable is discussed. The motion of Bell's spaceships is... Franklin,Jerrold - 《European Journal of Physics》 被引...
This lecture will introduce one of the fundamental problems of visual SLAM: How to describe a rigid body's motion in three-dimensional space? Intuitively, we certainly know that this consists of one rotation plus one translation. The translation part does not really have any problems, but the ...
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 ...
In this paper, we present a formulation of the quaternion constraint for rigid body rotations in the form of a standard perfect bilateral mechanical constraint, for which the associated Lagrangian multiplier has the meaning of a constraint force. First, the equations of motion of a scalable body ...
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...
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 ...
Figure 1: As a vehicle maneuvers, the inertia of the vehicle body relative to the motion of suspension can cause it to rollover. Using experimentally measured Frequency Response Functions (FRFs), the center of gravity and inertial properties of an object can be determined using the Rigid Body ...
3.1. Driving Wheel Rotational and Translational Motion Relationship It is assumed that when the tractor is driven on hard non-deformable or soft deformable terrain, the vehicle body maintains its movement in the horizontal plane. The vertical position is not affected by the rotation of the driving...
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...