A 129-kg horizontal platform is a uniform disk of radius 1.6…

A 129-kg horizontal platform is a uniform disk of radius 1.61 m and can rotate about the vertical axis through its center. A 65.7-kg person stands on the platform at a distance of 1.07 m from the center and a 27.3-kg dog sits on the platform near the person, 1.31 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

Dr. Evil and his henchmen intend to deflect the Moon from it…

Dr. Evil and his henchmen intend to deflect the Moon from its orbit around Earth by pulling it with a force of 3130 N. They plan to accomplish this by placing a mini black hole 6.17 x 106 m from the center of the Moon and letting gravitation do what gravitation does. What must the mass of the mini black hole be for the evil scheme to succeed? The mass of the Moon is 7.36 × 1022kg.  G = 6.673 x 10-11 N m2/kg2