## A 105 kg horizontal platform is a uniform disk of radius 1.97 m and can rotate about the vertical axis through its center. A 60.9 kg person

Question

A 105 kg horizontal platform is a uniform disk of radius 1.97 m and can rotate about the vertical axis through its center. A 60.9 kg person stands on the platform at a distance of 1.17 m from the center, and a 28.1 kg dog sits on the platform near the person 1.31 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

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1 week 2021-07-22T17:02:37+00:00 1 Answers 6 views 0

The moment of inertia of the system is 335.23

Explanation:

Given:

Mass of disk kg

Mass of person kg

Distance between person and axis of rotation m

Mass of dog kg

Distance between dog and axis of rotation m

For finding moment of inertia of this system,

Where Perpendicular distance between axis of rotation and object,

mass of object.

Therefore, the moment of inertia of the system is 335.23