Question

A 85.7 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.59 rad/s. A monkey drops a 8.67 kg bunch of bananas vertically onto the platform. They hit the platform at 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 1.55 m. angular velocity: rad/s

Answer 1

Initial Yo wis 1.5grad's S M = 85.7kg I: - MR2 Li-Iiwi (angular momentum ( Moment of Inertia) Final do wf m₂ = 8.6718 mm = 20.7 kq mm Pt = MR? - mb (0.8R} + mm R² wf = final angular velocity Lo=16 of As the Net Torque =0 * ا = ما ما مي و ما = 5) mal x win + m (0.87?e+ more woj. 2) MW: = [ + mox0.82 + mm) wy -> 8527 x 1.59 = 1857 +8-67208 + 20.7] W7 => 68.13 = 69.09 WG =) wf = 68.13 radis = 0.98 rad's Ay 69.09