Question

As shown, a unicyclist traveling at = 9.00 m/s approaches a hill inclined at $ = 30.0 degrees (Figure 2). The combined mass of the unicyclist and unicycle is 89.5 kg: the unicycle's wheel has a mass of mu = 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 = 40.0 N m to the wheel, what is the maximum elevation, 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. View Available Hint(s) Temp@tes Symbols Slope/Displacement Vector Lado redo resēt keyboard shortcuts help h = 14.24 Submit Previous Answers * Incorrect; Try Again; 11 attempts remaining

Answer 1

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- 22.5 had O40 Tmn4.50 (040) O72 a m KE toheet 72 x22.5)= 182.25J X KEge =mv2 - 89.5 9 3624.75 PE= mgh 877.995 h 89.5x 9,81 xh = TE - 1 82. 25t3624 75 3807J 877.995 h TE 40 x (sin30')k (0-40) -677.395h 2 00 h877.335 h T5 TE TE 9807 67.995 h h=5.615 m Scanned with CS CamScanner