Virtual Work of Forces Acting On A Rigid Body
An alternate formulation of rigid body dynamics that has a number of convenient features is obtained by considering the virtual work of forces acting on a rigid body.
The virtual work of forces acting at various points on a single rigid body can be calculated using the velocities of their point of application and the resultant force and torque. To see this, let the forces F1, F2 ... Fn act on the points R1, R2 ... Rn in a rigid body.
The trajectories of Ri, i=1,...,n are defined by the movement of the rigid body. The velocity of the points Ri along their trajectories are
where ω is the angular velocity vector of the body.
Read more about this topic: Rigid Body Dynamics
Famous quotes containing the words virtual, work, forces, acting, rigid and/or body:
“Neither dead nor alive, the hostage is suspended by an incalculable outcome. It is not his destiny that awaits for him, nor his own death, but anonymous chance, which can only seem to him something absolutely arbitrary.... He is in a state of radical emergency, of virtual extermination.”
—Jean Baudrillard (b. 1929)
“But he had gone his way, the grass all mown,
And I must be, as he had been,—alone,
‘As all must be,’ I said within my heart,
‘Whether they work together or apart.’”
—Robert Frost (1874–1963)
“True Shandeism, think what you will against it, opens the heart and lungs, and like all those affections which partake of its nature, it forces the blood and other vital fluids of the body to run freely thro’ its channels, and makes the wheel of life run long and chearfully round.”
—Laurence Sterne (1713–1768)
“She does not realize that the only difference between us is that she is on one stage and I on another. I feel that I am acting just as much as she is.”
—William Howard Taft (1857–1930)
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)
“The whole idea of image is so confused. On the one hand, Madison Avenue is worried about the image of the players in a tennis tour. On the other hand, sports events are often sponsored by the makers of junk food, beer, and cigarettes. What’s the message when an athlete who works at keeping her body fit is sponsored by a sugar-filled snack that does more harm than good?”
—Martina Navratilova (b. 1956)