Question

15 > A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.813 rad/s. You, with a mass of 68.9 kg, walk clockwise around the platform along its edge at the speed of 1.17 m/s with respect to the platform. Your 20.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 18.9 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.5 kg and radius 1.89 m. Calculate the total angular momentum of the system. kg - mʻls total angular momentum:

Answer 1

soin = 92.5 kg .68.9 kg mass of muttm = 18.9 kg Platform w 0.813 radis mass of platform R = 1.89m mass of me = Speed 1.17m Mass of poodle = R 2 r = 3 R Now we have to calculate the angular momentum angular Velocity col-v. = 0.6190 rad's 2011 kg = 1.17 R 1.89 Actual wy = w-wi 0.813-0-6196 0.194 rad is Iy = m'R²= 68.9 kg x (1 089) m 1000 202 246.117 kgm² Ly Iy Wy 246.117 x 0.194 radis 47.746 for poodle Relative wl Up = 0.6190 had is R/2 wowl = 0.194 raadis Actual Wp = 2 2001 Ip = mp (2) 2011 (12) 17.949 kg m ²

Lp = Ip Wp = 17.949X 0.194 - 3.4821 kg mis IM = mm ER) - (189) 3.1.89) 4 = 37.975 kg m² Lm= ImW = 37.975 80.813 = 30.873 kg mis Disk I = mrz 92-5X(6.945)2 2 2 =41.302 L = Iw= 41-302 X 0.813 - 33.578 total angular momentum L = LD + Lm + Lp t ly 115.678 Any