For a rigid slab in centroidal rotation, show that the system of the effective forces consists of vectors (mi) 2r 'i and (mi) ( r 'i) attached to the various particles Pi of the slab, where and are the angular velocity and angular acceleration of the slab, and where r 'i denotes the position of the...

For centroidal rotation a a a 0 Effective forces are ma mxr wrxr H ...

For a rigid slab in centroidal rotation, show that the system of the effective forces consists of

Question:

For a rigid slab in centroidal rotation, show that the system of the effective forces consists of vectors ?? (Δmi) ω2r'i and (Δmi) (α × r'i) attached to the various particles Pi of the slab, where ω and α are the angular velocity and angular acceleration of the slab, and where r'i denotes the position of the particle Pi relative to the mass center G of the slab. Further show, by computing their sum and the sum of their moments about G that the effective forces reduce to a couple Ι α.