Dynamics of particles and rigid bodies pdf

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Dynamics of Rigid Bodies | Kinematics | Equations Of Motion

In physics , a rigid body also known as rigid object [2] 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 exerted on it. A rigid body is usually considered as a continuous distribution of mass. In the study of special relativity , a perfectly rigid body does not exist; and objects can only be assumed to be rigid if they are not moving near the speed of light. In quantum mechanics a rigid body is usually thought of as a collection of point masses. For instance, in quantum mechanics molecules consisting of the point masses: electrons and nuclei are often seen as rigid bodies see classification of molecules as rigid rotors.
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Equations of Motion for an Unconstrained Particle. 68 Part II Dynamics of a System of Particles Part III Kinematics and Dynamics of a Single Rigid Body.

Engineering Dynamics

Kinematics of a Particle a. Rectilinear Kinematics b. Graphical Solutions c. General Curvilinear Motion d. Curvilinear Motion: Rectangular Coordinates e.

Dynamics of Particles and Rigid Bodies. Download PDF. Recommend Documents. Precessional motions in rigid body dynamics and the dynamics of systems of coupled rigid bodies. Computational dynamics of three-dimensional closed-chains of rigid bodies. Pseudo-rigid and rigid—flexible bodies. New integrable cases in the dynamics of rigid bodies III.

A unique approach to teaching particle and rigid body dynamics using solved illustrative examples and exercises to encourage self-learning.

Rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are rigid, which means that they do not deform under the action of applied forces, simplifies the analysis by reducing the parameters that describe the configuration of the system to the translation and rotation of reference frames attached to each body. The dynamics of a rigid body system is described by the laws of kinematics and by the application of Newton's second law kinetics or their derivative form Lagrangian mechanics. The solution of these equations of motion provides a description of the position, the motion and the acceleration of the individual components of the system and overall the system itself, as a function of time. The formulation and solution of rigid body dynamics is an important tool in the computer simulation of mechanical systems. If a system of particles moves parallel to a fixed plane, the system is said to be constrained to planar movement. Determine the resultant force and torque at a reference point R , to obtain.