A horizontal circular platform rotates counterclockwise about its axis at the ra
ID: 1910177 • Letter: A
Question
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.909 rad/s. You, with a mass of 74.9 kg, walk clockwise around the platform along its edge at the speed of 1.17 m/s with respect to the platform. Your 21.1-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 18.5-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 mass 91.5 kg and radius 1.87 m. Calculate the total angular momentum of the system.Explanation / Answer
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.935 rad/s. You, with a mass of 66.9 kg, walk clockwise around the platform along its edge at the speed of 1.17 m/s with respect to the platform. Your 20.3-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 91.1 kg and radius 1.95 m. Calculate the total angular momentum of the system.
angular momentum is the product of moment of inertia and angular speed. For the problem we just need to sum of the angular moment of each object.PLATFORMI=(1/2)MR2I=(1/2)(91.1)(1.95)2I=173.2L=I=(173.2)(.935)L=161.95PERSONI=MR2I=66.9(1.95)2I=254.4L=I=(254.4)(.935-1.17/1.95) (v/r=)L=85.22POODLEI=MR2I=20.3(1.95/2)2I=19.3L=I=(19.3)(.935-1.17/1.95)L=6.46MUTTI=MR2I=17.9(3/4*1.95)2I=38.3L=I=(38.3)(.935)L=35.80TOTALwe just sum up all the L we found aboveLsystem=161.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.