KINEMATICS_OF_RIGID_BODIES

# KINEMATICS_OF_RIGID_BODIES - instant as you determine the...

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

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 ϖ G G G I I H Plane motion of a rigid body. xG x a m F = ; yG y a m F = α G G I M = ; α 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: F F ROTATION OF A SLAB: R R UNIFORM ROTATION: U U UNIFORMLY ACCELERATED ROTATION: U U velocities IN PLANE MOTION (point A translates!): v v INSTANTANEOUS CENTER OF ROTATION: the point about which you can assume a body is rotating at a given
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

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern