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 0.997 rad/s. You, with a mass of 72.3 kg, walk clockwise around the platform along its edge at the speed of 1.19 m/s with respect to the platform. Your 20.7-kg poodle also walks clockwise around the platform, but along a circle at half the latform's radius and at half your linear speed with respect to the platform. Your 18.1-kg mutt, on the other and, 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 90.3 kg and radius 1.85 m. Calculate the total angular momentum of the system Number kg m/s

Explanation / Answer

PLATFORM

I= (1/2)MR2 = (1/2)(90.3)(1.85)2 = 154.53

L= I?= (154.53)(0.997) = 154.06

PERSON

I=MR2 = 72.3(1.85)2 = 247.45

L=I?=(247.45)(0.997 -(1.19/1.85)) (v/r=?) = 87.54

POODLE

I=MR2 = 20.7 (1.85/2)2 = 17.71

L=I?=(17.71)(.997 -(1.19/1.85)) = 6.265

MUTT

I=MR2 =18.1(3/4*1.85)2 = 34.84

L=I?=(34.84)(.997) = 34.74

TOTAL

Lsystem= 282.61 kg m2/s (counter clockwise)

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