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} | {mv,2 4 MTI 1 1/2 K.52 | SF m.9.s Submit Previous Answers Learning Goal: The principle of work and energy is used to solve kinetic problems that involve velocities, forces, moments, and displacements. For a rigid body, the principle is Ti + SU_2 = 12 where T is the body's initial kinetic energy, U1-2 is the work done by external forces and moments that act on the body, and T, is the body's final kinetic energy. For a rigid body, the kinetic energy is broken into two components: the translational kinetic energy, (1/2)mve, and the rotational kinetic energy. (1/2)I6w?, where m is the mass, vg is the velocity of the body's center of mass G. IG is the moment of inertia about the body's center of mass, and w is the body's angular velocity It is useful to draw the body's free-body and kinematic diagrams to identify the forces and couple moments that do work on the system and to determine the relationship between VG and w Correct Part B As shown, a unicyclist traveling at vi = 14.0 m/s approaches a hill inclined at $ = 25.0 degrees (Figure 2). The combined mass of the unicyclist and unicycle is 70.5 kg; the unicycle's wheel has a mass of my = 4.50 kg , and it has a radius of r = 0.40 m. If the wheel does not slip, and the unicyclist is able to apply a constant couple moment of magnitude M = 36.0 N·m to the wheel, what is the maximum elevation, h, that the unicyclist can climb? Assume that the wheel's geometry can be approximated by a thin ring and that the unicyclist is able to keep the unicycle in a vertical position while climbing the hill. Consider the system of interest to be the unicycle's wheel and the weight of the unicycle and the unicyclist applied to a point located at the center of the wheel. Express your answer numerically in meters to three significant figures. Figure < 1 of 2 View Available Hint(s) Pa|| ΑΣΦ | 11 | vec ? Initial conditions h = m SA Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Final conditions ON Provide Feedback Next >