Dynamics of a rigid body pdf

Download PDF. A short summary of this paper. Be the body 1 of the figure, which rotates about the fixed point A. Also, the point C describes a circular path with centre in B with a relative velocity named vC. In the depicted configuration, the velocity previously mentioned has a direction towards the point A.

This fact suggests us to use vectorial notation and to define the vectors w. The reference system attached to the aircraft is the following: the X is tangent to the path, the Y axis is towards the right side of the and finally the Z in order to define a right-handed reference system.

Related Papers. By Daniel Condurache. Lecture notes on Kinematics. By sandeep bhaskar. Chapter 5 Plane Kinematics of Rigid Bodies. Computation of angular velocity and acceleration tensors by direct measurements. By Daniel Condurache and Mihaela-hanako Matcovschi. Static and Dynamic properties The center of mass of a system of particles Rigid Body is a particular case is the point of the space where the system of gravitational forces formed by all elementary gravitational forces acting on each elementary particle dm g , is equivalent to one force mg placed there.

The potential energy of a system of particles is simply mgy, where y is the height of center of mass. This concept provides a method to find the center of mass of a body. Kinematics Fig. A motion is said to be a translation if any straight line inside the body keeps the same direction during the movement.

All the particles forming the body move along parallel paths. If these paths are straight lines, the motion is said a rectilinear translation; if the paths are curved lines, the motion is a curvilinear motion ROTATION about a fixed axis.

The particles forming the rigid body move in parallel planes along circles centered on the same fixed axis. Any plane motion which is neither a translation or a rotation is referred as a general plane motion.

Plan motion is that in which all the particles of the body move in parallel planes. Translation and rotation are plane motions. The three-dimensional motion of a rigid body attached at a fixed point, for example, the motion of a top on a rough floor, is known as motion about a fixed point.

Mechanics of Rigid Body. Motion equations Fig. Basic relationships Motion equations. They are the same for all points of the solid. Which is the linear tangential velocity of the disk where the laser beam strikes: a at the beginning of scanning and b at the end?. Motion equations. Mechanism…Rigid Body connected The red arrow shows the angular velocity of the horizontal gear 1.

Draw the angular velocity for the other gear, 2 and 3. How fast bucket after 5 seconds 2 will gear 2 and 3 and the fallen distance.

Data: R b Compute the angular cm; R cm; acceleration of the pulley R cm. General Plane Motion Rolling without slipping. C If there is no sliding, the distance traveled by point C is exactly the same s. Rolling without slipping.