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Jul 24, 2019 · Motion of a rigid body can be broadly divided into two categories. Plane motion. Space motion. Now let us understand each type of rigid body motion in detail. Plane motion. Plane motion is a type of rigid body motion in which the velocity vectors of all the moving points (of the body) lie in a single plane. Plane motion can also be categorized ...
The motion of a rigid body which is not fixed or pivoted is either a pure translational motion or a combination of translational and rotational motion. Rigid bodies are fixed/pivoted experience motion which is rotational. This is an article on the basics of motion in rigid bodies. Check out the center of mass calculations in rigid bodies in ...
- 2 min
The configuration space of a rigid body with one point fixed (i.e., a body with zero translational motion) is given by the underlying manifold of the rotation group SO(3). The configuration space of a nonfixed (with non-zero translational motion) rigid body is E + (3) , the subgroup of direct isometries of the Euclidean group in three dimensions (combinations of translations and rotations ).
A rigid body is an idealization of a solid body where the deformations occurring on the body are neglected. In other words, the distance between any two given points of a rigid body remains constant regardless of the external force acting upon it. The concept of Rigid body and Rigid body dynamics was developed to solve a range of problems that ...
- 6 min
Apr 15, 2023 · Rotational Motion of a rigid body performs a pure rotational motion, if each particle of the body moves in a circle, and the centre of all the circles lie on a straight line called the axes of rotation. Equations of Rotational Motion: (i) ω = ω 0 + αt. (ii) θ = ω 0 t + 12 αt². (iii) ω² = ω² 0 + 2αθ.
To identify this, it is observed that an arbitrary Rigid Body motion falls into one of the three categories: Translational Motion, Rotational Motion, and General Plane Motion. Translation, curvilinear, and rectilinear: Translational Motion is the type of motion in which every line in the body remains parallel to its original position.
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RIGID BODY MOTION (Section 16.1) We will now start to study rigid body motion. The analysis will be limited to planar motion. For example, in the design of gears, cams, and links in machinery or mechanisms, rotation of the body is an important aspect in the analysis of motion. There are cases where an object cannot be treated as a particle.
