Calculate the rotational inertia of each of the following uniform objects about the axes indicated: A thin 2.5 kg rod of length 0.75 m, about an axis perpendicular to it and passing through its center. A 3 kg thin walled hollow sphere 0.38 m in diameter, about an axis (i) through its a) b) center.

A playground merry-go-round (a solid disk) has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s.  What is its angular velocity after a 22.0-kg child (who is initially at rest) gets onto it by grabbing its outer edge?  (You can approximate the child as a point mass). (Hint: here you'll need to use the conservation of angular momentum.) a. 0.683 rev/s b. 0.415 rev/s c. 0.366 rev/s d. 0.129 rev/s

Problem A) At a circus you see a man spinning plates with radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s?. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many revolutions they have made, b) their angular velocity, c) their tangential acceleration, d) their radial acceleration, and e) their overall acceleration, magnitude and direction with respect to the edge of the disk.

A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 37 rad/s and a linear speed of 51 m/s Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. КЕ Frotational KEtranslational

A uniform solid sphere of mass 12.0 kg and radius 7.0 cm rotates at 300 revolutions per minute (rpm) on an axis passing through its center. Calculate: a) Its moment of inertia b) Its rotational kinetic energy c) The angular momentum (L), that is, the magnitude of the product Iw, in the appropriate IS units d) Based on the general definition of the moment of inertia (I = Mr²), determine the radius of gyration of the sphere around the axis that passes through its center.

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 8.70 rev/s; 35.0 revolutions later, its angular speed is 20.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 35.0 revolutions, (c) the time required to reach the 8.70 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 8.70 rev/s angular speed. Unit (a) Number (b) Number Unit (c) Number Unit (d) Number Unit

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10.0 rev/s; 65.0 revolutions later, its angular speed is 16.0 rev/s. Calculate (a) the angular acceleration (rev/s?), (b) the time required to complete the 65.0 revolutions, (c) the time required to reach the 10.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10.0 rev/s angular speed. (a) Number i Unit (b) Number i Unit (c) Number i Unit (d) Number i Unit > > >

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 6.60 rev/s; 45.0 revolutions later, its angular speed is 24.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 45.0 revolutions, (c) the time required to reach the 6.60 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 6.60 rev/s angular speed. (a) Number Unit (b) Number i Unit (c) Number i Unit (d) Number Unit