A large horizontal ciecular platform (M-99.8 kg, re3.32 m) rotates about a frict

Question

A large horizontal ciecular platform (M-99.8 kg, re3.32 m) rotates about a frictionless vertical axle. A student (m-75.32 kg) walks slowly from the rim of the platform toward the center. The angular velocity of the system is 3.3 rad/s when the student is at the rim. Find the moment of inertis of platform through the center with respect to the z-axis Find the moment of inerta of the student about the center axis (while standing at the rim) of the platform Sunt Anewer Tries os Find the moment of inertia of the student about the center axis while the student is standing 1.33 m from the center of the platform

Explanation / Answer

given that

M = 99.8 kg

r = 3.32 m

m = 75.32 kg

w = 3.3 rad/s

(a)

assuming disk so

I1 = 1/2*M*r2

I1 = 0.5*99.8*(3.32)2

I1 = 550.01 kg.m2

(b)

I2 = m*r2 = 75.32*(3.32)2

I2 = 830.20 kg.m2

(c)

I3= m*r' 2 = 75.32*(1.33)2

I3 = 133.23 kg.m2

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