# 3- A solid sphere and a ring; of the same mass (M=0.0 kg) and the same 2-a rope is warpped aroung a solid disk of radius R = 2.5 m and a mass of 1.5…

3- A solid sphere and a ring; of the same mass (M=0.5 2.0 kg) and the same2-a rope is warpped aroung a solid disk of radius R = 2.5 m and a mass of 1.5 kg .radius (R= 0.20 m) are released from the top of an hill at height H=5.0 metersThe disk rotates abot its own axis. A bucket water has been tied to the other end ofYou are required to show all the steps of your calculation to receive thethe rope as show in the figure. by the rotaing disk. The mass of the bucket is 2.0whole credit. Answers with unit of measurement.kg.SHOW FORMULAS AND COMPLETE SOLUTION UNDER EACH PART OFTHE PROBLEM.a) calucdate the moment of inetia/ Rotaitonal inertia of the disk?Formulas you need for the problem:Rotational inertia for a ring I = MRzRotational inertia for a solid sphere1 = 2/5 MRZb) Calcualte the acceleration of the bucket when it released from rest.U =Mg HV=RWConservation of mechanical energy E = ErE=U +KU=mg HRolling Kinetic energy is the sum of Kinetic energy for translation(k=1/2 M V2) and Kinetic energy for rotation (K=1/2 I wz )You need to show all the formulas, calculations, and unit to receive thewhole credit.c) Calulate Tension In the rope.a) Calculate the rotational inertia of the two objects. Which one do youexpect to reach to the bottom of hill first? Explain

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