THEORYMECHANICS1902Chapter9 Plane motion of rigid bodyCollege of Mechanical and Vehicle EngineeringWangXiaojun
College of Mechanical and Vehicle Engineering Wang Xiaojun THEORY MECHANICS Chapter9 Plane motion of rigid body
Chapter9 Plane motionof rigidbody> 9.1 Simplification of plane motion of rigid body and itsdecomposition> 9.2 Velocity analysis of particles on a plane graph> 9.3 Acceleration analysis at each particle on a plane graph
➢ 9.1 Simplification of plane motion of rigid body and its decomposition ➢ 9.2 Velocity analysis of particles on a plane graph ➢ 9.3 Acceleration analysis at each particle on a plane graph Chapter9 Plane motion of rigid body
9.1 Simplification of plane motion of rigid body anditsdecomposition1.Definition of plane motion of a rigid bodyO7777777777Observing the motion of the rigid body above, it is found that they have a common feature inthe process of motion, that is, when the rigid body moves, the distance from any particle inthe rigid body to a fixed plane remains constant all the time. The motion of a rigid body withsuch a feature is called plane motion of the rigid body, or plane motion for short
9.1 Simplification of plane motion of rigid body and its decomposition 1. Definition of plane motion of a rigid body O O v O A B O O1 Observing the motion of the rigid body above, it is found that they have a common feature in the process of motion, that is, when the rigid body moves, the distance from any particle in the rigid body to a fixed plane remains constant all the time. The motion of a rigid body with such a feature is called plane motion of the rigid body, or plane motion for short
9.1 Simplification of planemotion of rigid bodyanditsdecomposition2. Simplification ofplane motion of a rigid bodyAAs shown in the figure, when a rigid bodymoves in a plane, the plane figure formed byall particles on the rigid body at the sameSAdistanceas afixed planein space stays inthe元plane where it is movingN元oAfteranalysis,thefollowingconclusionscanbe drawn:The plane motion of a rigid body can be simplified as the motion of a plane figure Sin its ownplane
0 A A1 A2 S As shown in the figure, when a rigid body moves in a plane, the plane figure formed by all particles on the rigid body at the same distance as a fixed plane in space stays in the plane where it is moving. After analysis, the following conclusions can be drawn: The plane motion of a rigid body can be simplified as the motion of a plane figure S in its own plane. 9.1 Simplification of plane motion of rigid body and its decomposition 2. Simplification of plane motion of a rigid body
9.1 Simplification of plane motion of rigid body anditsdecomposition3. Equations of motion for plane motion of a rigid body1MS0SMXo. = fi(t)O'(xo.)yo. = f2(t)0(p= fs(t)2"xo'x0The above equation is called the plane motion equationof a rigid body. Plane motionincludestwo basic forms of motion: translation and fixed axis rotation,namely: planemotionisthecompositemotionoftranslationandrotation
3. Equations of motion for plane motion of a rigid body O x y = = = ( ) ( ) ( ) 3 2 1 f t y f t x f t O O The above equation is called the plane motion equation of a rigid body. Plane motion includes two basic forms of motion: translation and fixed axis rotation, namely: plane motion is the composite motion of translation and rotation. S ( ) O , O O x y M S ( ) O , O O x y M 9.1 Simplification of plane motion of rigid body and its decomposition