KINEMATICS_OF_RIGID_BODIES - instant as you determine the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Plane Motion of Rigid Bodies: Forces and Accelerations Equations of motion for a rigid body G a m F = G H M = Angular Momentum of a rigid body in plane motion = ϖ G G I H = = α G G G I I H Plane motion of a rigid body. xG x a m F = ; yG y a m F = G G I M = ; o o I M = RATE OF CHANGE OF A VECTOR (with respect to a fixed frame-OXYZ and a rotating one- Oxyz (with ): PLANE MOTION OF A PARTICLE RELATIVE TO A ROTATING FRAME: R KINEMATICS OF RIGID BODIES TRANSLATION: all particles have the same velocities and accelerations at any given instant a ROTATION ABOUT A FIXED AXIS: FF ROTATION OF A SLAB: RR UNIFORM ROTATION: UU UNIFORMLY ACCELERATED ROTATION: UU velocities IN PLANE MOTION (point A translates!): vv INSTANTANEOUS CENTER OF ROTATION: the point about which you can assume a body is rotating at a given
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: instant, as you determine the velocities of the points of the body at that instant. v IC =0 ; v point/IC = ϖ r point/IC ; r point/IC ⊥ v point/IC pp ACCELERATION IN PLANE MOTION: AA Noncentroidal Rotation G tG r a = 2 G ntG r a = Moment of Inertia, Radius of Gration 2 G G o mr I I + = 2 G G mk I = Rolling Motion balanced disk Rolling, no slipping N friction s μ ≤ ; G G r a = Rolling, slipping impending N friction s = ; G G r a = Rolling, slipping N friction K = ; and a G are independent Unbalanced disk o r a = n o G t o G o G a a a a ) ( ) ( / / → → → → + + =...
View Full Document

This note was uploaded on 07/09/2011 for the course EGN 3311 taught by Professor Hudyma during the Fall '08 term at UNF.

Ask a homework question - tutors are online