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3. A bolt, as shown in the figure below, is rotating about its cylindrical axis. (a) Calculate the bolt's rotational inertia, I, if it


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3. A bolt, as shown in the figure below, is rotating about its cylindrical axis. (a) Calculate the bolt's rotational inertia, I, if it is made of stainless steel (density p = 7800 kg/m) and consists of a solid cylinder 6.5 cm long and diameter 8.0 mm and a circular disk of diameter 16 mm and 4.0 mm thick. The rotational inertia for a solid cylinder/disk is (1/2)MR where M is its mass and R is its radius. Recall that the mass of an object is given by M = pV where V is the volume and that the volume of a cylinder/disk is TRL where R is its radius and L is its length. (b) If a torque with magnitude 1.4 101 N m is applied to the bolt, calculate its angular acceleration. (c) If this torque is applied for At = 0.080 s and the bolt's initial angular speed was w;= 3.0 rad/s, then calculate the bolt's final angular speed wf. (d) What was the final kinetic energy? Show all your work. disk- cylinder

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