Lecture 18 Kinetics Flashcards
Equation for resultant force acting on a body
sum F = m a
Equation for resultant moment
Sum Mg = Ig alpha
where Mg is the resultant moment Ig the mass moment of inertia alpha the angular acceleration
Linear momentum =
L = mv
L. =
d/dt (mv) = ma = sum F
Angular momentum of a particle is
moment of the linear momentum
symbol of angular momentum =
H0 = r x mv
Rate of change of angular momentum =
H0. = r x mv. = sum of moments
sum of moments relationship with sum of forces
Sum of M0 = r x sum of Forces
sum of moment about an arbitrary point
sum MP = sum rate of change of angular momentum + rhoG (dist from arbitrary point to centre of mass) x m ag
Sum of moments about an arbitrary point in a planar system
sum MP = IG alpha + rhoG x maG