What is kinematics of rigid bodies?
What is kinematics of rigid bodies?
Formally it is defined as a collection of particles with the property that the distance between particles remains unchanged during the course of motions of the body. Like the approximation of a rigid body as a particle, this is never strictly true. All bodies deform as they move.
Which of the following kinematic quantities are the same for all points on a rigid body?
The angular quantities: θ, ω and α are the same for all the points within the rigid body.
How do at any given instant the velocity and acceleration of different points of a rigid body vary when it is undergoing translation?
When a rigid body is in translation, all the points of the body have the same velocity and the same acceleration at any given instant. In case of curvilinear translation, the velocity and acceleration change in direction as well as in magnitude at every instant. 3.
What are the examples of rigid body?
A rigid body is an idealization of a solid body in which deformation is neglected. In other words, the distance between any two given points of a rigid body remains constant in time regardless of external forces exerted on it. Example: A metal rod in an example of rigid body.
What is the difference between rigid body and particle?
Most textbooks, especially those written by physicists, would say that a particle in mechanics is a rigid body, whose size can be ignored but mass cannot be ignored. A non-deformable rigid body is a system of points, the distance between which always remains constant.
Can a rigid body be elastic?
A rigid body can be elastic.
What is the dividing line between statics and dynamics of rigid bodies?
The mechanics of rigid bodies is sub-divided into two areas, statics and dynamics, with dynamics being further subdivided into kinematics and kinetics. Statics is the study of bodies in equilibrium. This means there are no unbalanced forces on the body, thus the body is either at rest or moving at a uniform velocity.
How many types of rigid body are there?
The two types of motion that a rigid body undergoes are: Translational Motion. Rotational Motion.
What is rigid body in simple words?
In physics, a rigid body (also known as a rigid object) is a solid body in which deformation is zero or so small it can be neglected. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it.
Is human body a rigid body?
Rigid Body Dynamics. For analytical convenience, human body segments are considered as rigid bodies. A rigid body is similar to a system of particles in the sense that it is composed of particles. The physical characteristics of a rigid body can be described by its inertial properties: mass and moment of inertia.
What is an example of a particle?
A particle is a word that has a grammatical function but does not fit into the main parts of speech (i.e. noun, verb, adverb). The infinitive ‘to’ in ‘to fly’ is an example of a particle, although it can also act as a preposition, e.g. ‘I’m going to Spain next week’.
What are the kinematics of a rigid body?
There are three areas of kinematics of a rigid body that I will be focusing on in later sections. They will be the following. A rigid body will be in translation when the paths of all of the particles in the body are parallel with each other.
What are the functions of rigid body dynamics?
The functions described in this document are intended as an accompaniment to the book Rigid Body Dynamics Algorithms(RBDA), and will likely be easiest to understand if you happen to have access to a copy of this book.
What are the three categories of rigid body motion?
rigid body motion falls into one of the three categories: Translation, rectilinear and curvilinear: Motion in which every line in the body remains parallel to its original position. The motion of the body is completely specified by the motion of any point in the body. All points of the body have the same velocity and
Can a rigid body be viewed as a collection of particles?
As rigid bodies are viewed as collections of particles, this may appear an insurmountable task, requiring a description of the motion of each particle. However, the assumption that the body does not deform is a very strong one, requiring that the distance between every pair of particles comprising the body remains unchanged.