O 5/7/2015 11 PM A 71.9/100 5/7/2015 02:31 PM Gradebook Print Periodic Table Cal
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O 5/7/2015 11 PM A 71.9/100 5/7/2015 02:31 PM Gradebook Print Periodic Table Calculator Question 9 of 15 Map A pling A horizontal circular platform rotates counterclockwise about its axis at the rate of0.823 rad/s. You, with a mass of 67.9 kg, walk clockwise around the platform along its edge at the speed of 1.13 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 17.7-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 91.9 kg and radius 1.83 m. Calculate the total angular momentum of the system Number 280 kg m A Previous ® Give Up & View Solution 2 Check Answer Next Ext O HintExplanation / Answer
Here ,
angular momtentum = moment of inertia * angular speed
Total angular momentum = 0.5 * 91.9 * 1.83^2 * 0.823 + 67.9 * 1.83 * (1.83 * 0.823 - 1.13) + 20.3 * 1.83 * 0.5 * (1.83 * 0.823*0.5 - 1.13*0.5) + 17.7 * (0.75 * 1.83)^2 * 0.823
Now, calculating
Total angular momentum = 204.3 Kg.m^2/s
the total angular momentum of the system is 204.3 Kg.m^2/s
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