a horizontal circular platform rotates counterclockwise about its axis at the ra

Question

a horizontal circular platform rotates counterclockwise about its axis at the rate of 0.805 rad/s. You, with a mass of 67.3 kg, walk clockwise around the platform along its edge at the speed of 1.07 m/s with respect to the platform. Your 20.1-kg poodle also walks clockwise around the platform. Your 18.5-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 a mass of 91.9 kg and radius 1.87 m. Calculate the total angular momentum of the system.

Explanation / Answer

for disk L1 = I W=0.5*M * R^2 W = 0.5*91.9*1.87^2*0.805=129.34 .............. for you = L2 = m v r = 67.3*1.07*1.87 = 134.66057 ............ for poodle L3 = m v r = 20.1*1.07*1.87..= 40.21809 ......... for nutt = m (3r/4)^2 W= 18.5*(1.87*3/4)^2*.805 = 29.293640578 MOI = 0.5*91.9*1.87^2*0.805+67.3*1.07*1.87+20.1*1.07*1.87+18.5*(1.87*3/4)^2*.805= 333.512 kg m^2 s^-1

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