saplinglearning.com 113 Fal17- ZOETEWEY: google calculator-Google Search /1/2017
ID: 1792660 • Letter: S
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saplinglearning.com 113 Fal17- ZOETEWEY: google calculator-Google Search /1/2017 11:55 PM 66.4/100 Gra Print ] Calculator -Penod. Periodic Table Table ion 33 of 35 Map, Sapting Learning A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.843 rad/s. You, with a mass of 67.9 k to the platform. Your 21.1-kg poodle also walks clockwise clockwise around the platform along its edge at the speed of 1.03 m/s with respect the platform, but along a circle at half the s radius and at half your linear speed with respect to the platform. Your 18,9-kg mutt, on the other sits still on the platform at a position that is 3/4 of the platforms radius from the center. Model the platform as a uniform disk with mass 90.3 kg and radius 1.97 m. Calculate the total angular momentum of the system. Number kg msExplanation / Answer
Angular momentum of platform I = 1/2 M R2 = 1/2 * 90.3 * 1.972 = 175.22
L = I w = 175.22 * 0.843 = 147.7
Angular momentum of person I = M R2 = 67.9 * 1.972 = 263.5
L = I w = 263.5 * (0.843 -1.03/1.97) = 84.36
Angular momentum of poodle I = M R2 = 21.1 * (1.97/2)2 = 20.47
L = I w = 20.47 * (0.843 -1.03/1.97) = 6.55
Angular momentum of mutt I = M R2 = 18.9 * (3/4 * 1.97)2 = 41.26
L = I w = 41.26 * (0.843 ) = 34.78
Total angular momentum = 147.7 + 84.36 + 6.55 + 34.78
= 273.39 kg.m2/s
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