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 0.961 rad/s. You, with a mass of 72.3 kg, walk clockwise around the platform along its edge at the speed of 1.05 m/s with respect to the platform. Your 20.3-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 17.9-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 90.5 kg and radius 1.97 m. Calculate the total angular momentum of the system.

Explanation / Answer

net angular momentum =0.5*90.5*1.97^2*0.961-72.3*1.05*1.97-20.3*(1.97/2)*(1.05/2)-17.9*(3*1.97/4)^2*0.961= %u221228.840 kg m^2 s^-2

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