cylinder has a cone removed from it.  The cylinder and the conical hole have the same radius (2.06 meters) and height (4.56 meters).  The cylinder has a density of 447 kg/m3. What is the rotational inertia of the cylinder with the cone removed in kg m2?  You can set your origin at the tip of the cone, which is also the center of the base of the cylinder.

In the figure, the rod is uniform and the pivot is frictionless. The rod's mass is 13 kg and its length is 5 meters. m1 is a particle of mass 18 kg; m2 is a particle of mass 24 kg. What is the system's rotational inertia when pivoted about its center? What is m1's (linear) acceleration, in m/s2, when gravity is allowed to act on the particles?

Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A.  What is the moment of inertia of the merry-go-round plus the children in kg⋅m2?  B.  If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2?  C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 14.0°. What is the value of the angular acceleration the eyelid undergoes while closing?