I need assistance on the following questions please.

Name Take Home Test 4 Rotation and SHM Show all work to receive full credit. 1. A solid disk (1 = 1/2 mr?) has a mass of 3 kg and a radius of 0.5 m. It is accelerated from rest to a speed of 3000 rev/ min in 90 s. a) What is the angular acceleration of the disk? b) How many radians did the disk travel in the 90 s? c) What is the net torque acting on the disk? d) What is the linear displacement of the disk for this 90 s time period? 2. Two masses (m1 = 2.5 kg, m2 = 7 kg) are hung at opposite ends of a meter stick of negligible mass. How far away from the fulcrum must mass 2 be In 1 In2 placed to establish rotational equilibrium? 3. A 4200 kg satellite orbits in a circular path around a planet of mass 6 x 1025 kg at a distance of 1.6 x 108m from the center of the planet. a) What is the gravitational force the satellite experiences? b) What is the centripetal acceleration that the satellite experiences? c) How fast is the satellite moving linearly at that position? d) What is the angular velocity of the satellite? 4. A 0.5 kg mass is hung from a 4 m long cord of negligible mass on Earth. It is pulled 10 degrees from the vertical and released. a) How much energy was gained by the mass when it pulled the 10 degrees? b) What is the speed of the mass as it passes through the lowest point in its swing? c) How long does it take for the mass to make 3 complete oscillations? 500g oblem # 5 on back5. Four forces(A, B, C, & D) act on a plywood hexagon as shown in the D/6 N diagram. The sides of the hexagon each have a length of 1 meter. A 4NA 4 N a) Rank the magnitude of the torque applied about the center of the hexagon by each force. B 4N C Greatest Least Explain your ranking. b) Based on the diagram and your ranking, which direction would the hexagon rotate? Explain your