3/27/2012
MOMENT OF INERTIA
In rotational motion, the moment of inertia is the equivalent to the
mass in translational motion. It measures the resistance of a body
to an Angular Acceleration.
The equivalent equation to F = ma for a rotating
body is M = I,
4/17/2012
EXAMPLES
1. The jet aircraft has a total mass of 22 Mg and a center of
mass at G. Initially at take-off the engines provide a thrust
of 2T = 4 kN and T = 1.5 kN . Determine the acceleration of
the plane and the normal reactions on the nose wheel
Frictional Rolling Problems
This is a special class of problems involving wheels, cylinders or
similar bodies that roll on a rough plane surface.
GENERAL PLANE MOTION
If an inertial x y coordinate system is chosen, the three
equations of motion may be wri
4/17/2012
EXAMPLES
1. The double pulley consists of two parts that are attached to
one another. It has a weight of 50 lb and a centroidal radius
of gyration of kO = 0.6 ft and is turning with an angular
velocity of 20 rad / s clockwise. Determine the kine
4/24/2012
H G : I G 1 + ( P + F ) r dt = I G 2
4
3. A cord of negligible mass is wrapped around the outer surface
of the 50 lb cylinder and its end is subjected to a constant
horizontal force of P = 2 lb. If the cylinder rolls without slipping
at A, deter