The maximum height reached by a thin hoop with a radius of 0.13 m and mass of 8.1 kg, rolling without slipping at a velocity of 4.0 m/s up an incline of 33 degrees, can be determined using the conservation of energy principle. The total mechanical energy is conserved, where the sum of rotational kinetic energy and linear kinetic energy equals the potential energy at the maximum height. The moment of inertia for the hoop is calculated as (1/2)Mr², allowing for the simplification of the mass variable in the calculations.
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melissa_y said:thin hoop of radius r = 0.13 m and mass M = 8.1 kg rolls without slipping across a horizontal floor with a velocity v = 4.0 m/s. It then rolls up an incline with an angle of inclination theta = 33o. What is the maximum height h reached by the hoop before rolling back down the incline