A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 5.21 kg and the same radius of 0.271 m. (a) What is the moment of inertia (in kg - m2) hoop E k9 ' m2 solid cylinder E kg , in2 solid sphere E kg ' in2 thin, spherical shell S kg m2 for each object as it rotates about its axis? (b) Each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the translational speed at the bottom of the ramp for each object from highest to lowest. 0 solid cylinder > thin spherical shell > solid sphere > hoop olid sphere > solid cylinder > thin spherical shell > hoop C hoop > solid cylinder > solid sphere > thin spherical shell 0 thin spherical shell > solid sphere > solid cylinder > hoop (c) As in part (b), each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each object highest to lowest. C @ hoop > thin spherical shell > solid cylinder > solid sphere C' solid cylinder > thin spherical shell > solid sphere > hoop \\ hoop > solid cylinder > solid sphere > thin spherical shell 0 thin spherical shell > solid sphere > solid cylinder > hoop A light rod of length l' = 1.00 m rotates about an axis perpendicular to its length and passing through its center as in the figure below. Two particles of masses m1 = 4.40 kg and 1'712 = 3.00 kg are connected to the ends of the rod. (a) Neglecting the mass of the rod, what is the system's kinetic energy when its angular speed is 2.60 rad/s? 3.1900 at Your response differs from the correct answer by more than 10%. Double check your calculations. J (b) Repeat the problem, assuming the mass of the rod is taken to be 1.95 kg. 3.1900 x Your response differs from the correct answer by more than 10%. Double check your calculations. J