What makes a 2D rigid body a rigid body?
Kinematics of Two-Dimensional Rigid Body Motion Even though a rigid body is composed of an infinite number of particles, the motion of these particles is constrained to be such that the body remains a rigid body during the motion. In particular, the only degrees of freedom of a 2D rigid body are translation and rotation.
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
How is a rigid body an idealization of a particle?
A rigid body is an idealization of a body that does not deform or change shape. 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.
What are the governing equations of rigid bodies?
5.1.3 Governing Equations: Velocities and Accelerations With this understanding of the structure of plane motion of rigid bodies, we are in a position to move onto the business of attempting to derive equations that describe the motion. Figure 5.1.6: Definition of a translating reference attached to point B.
Can a rigid body have a point mass?
Neither point masses nor rigid bodies can physically exist, as no body can really be a single point with no extent, and no extended body can be exactly rigid. Despite this, these are very useful models for mechanics and dynamics. All points on a rigid body have the same angular rotation angles, as we can see on the figure below.
How are three rigid bodies coupled by pins?
Three rigid bodies (two rods and a block) are coupled by pins at O O, P P, and Q Q as shown. Body B 3 B 3 cannot rotate and must slide horizontally along the ground. The rod lengths are O P = 3 √ 2 m O P = 3 √ 2 m and P Q = 5 m P Q = 5 m, and points O O and Q Q are the same height above the ground.