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 0.859 rad/s. You, with a mass of 74.3 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 form's radius and at half your linear speed with respect to the platform. Your 19.1-kg mutt, on the other 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 93.1 kg and radius 1.83 m. Calculate the total angular momentum of the system. Number 201.6 kg·m,s There is a hint available! iew the hint by clicking on the ottom divider bar Cliçk on the

Explanation / Answer

here,

taking counterclockwise to be positive direction

m1 = 74.3 kg

mass of poddle ,m2 = 20.3 kg

mass of mutt , m3 = 19.1 kg

mass of plateform , m4 = 93.1 kg

radius of plateform , r = 1.83 m

the total angular momentum , L = 0.5 * m1 * r^2 * ( v/r) - m2 * 1.13 * r - m3 * 1.13/2 * r/2 - m4 * 0

L = 0.5 * 74.3 * 1.83 * 1.13 - 20.3 * 1.13 * 1.83 - 19.1 * 1.13/2 * 1.83/2

L = 25 kg.m^2/s

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