A uniform disk of mass m and radius R has a point mass of 2m attached the rim. The system is spinning about the center of the disk on frictionless bearings with angular speed ». (Moment of inertia of a uniform disk of mass m and radius R = 0.5mR² ) 2m m A tiny (effectively massless) ant is also on the spinning system and decides to carry the 2m mass to the center of the disk. After this has happened, what is the final angular speed of the system? A) 5@ В) ЗФ C) 20

A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.225 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (a) w = i (b) K/Ko = i

A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.

A 87.9 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.53 rad/s. A monkey drops a 8.97 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.7 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.65 m.

A cockroach of mass m lies on the rim of a uniform disk of mass 6.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.502 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (a) w = i (b) K/Ko =

A 82.1 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.69 rad/s. A monkey drops a 8.95 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.95 m.