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sineoko [7]
3 years ago
11

A 111 kg 111 kg horizontal platform is a uniform disk of radius 1.67 m 1.67 m and can rotate about the vertical axis through its

center. A 64.7 kg 64.7 kg person stands on the platform at a distance of 1.15 m 1.15 m from the center, and a 25.7 kg 25.7 kg dog sits on the platform near the person 1.35 m 1.35 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
Physics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

287.19 kg.m²

Explanation:

Given that :

The mass M of the horizontal platform  = 111 kg

The radius R of the uniform disk = 1.67 m

mass  of the person standing m_p = 64.7 kg

distance of the person standing d_p = 1.15 m

mass of the dog m_d = 25.7 kg

distance of the dog d_d = 1.35 m

Considering the moment of inertia of the object in the system; the net moment of the inertia can be expressed as:

=  \frac{MR^2}{2}+m_pd_p^2+m_dd_d^2

= (\frac{111*1.67^2}{2})+ (64.7 *1.15^2)+ (25.7*1.35^2)

= 287.19 kg.m²

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