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he point P is at the edge of the disk and the component bodies are: A uniform di

ID: 1296458 • Letter: H

Question

he point P is at the edge of the disk and the component bodies are:

A uniform disk of radius 2 m and mass m1=1 kg.

A uniform rod of length 4 m and mass m2=2 kg.

A uniform rectangle with side lengths 2 m and 4 m, and mass m3=4 kg.

A point mass at P with mass m4=1 kg.

What is the moment of inertia IP,k?  about the k?  axis through the point P?

IP,k?= __________________________ kg m2

he point P is at the edge of the disk and the component bodies are: A uniform disk of radius 2 m and mass m1=1 kg. A uniform rod of length 4 m and mass m2=2 kg. A uniform rectangle with side lengths 2 m and 4 m, and mass m3=4 kg. A point mass at P with mass m4=1 kg. What is the moment of inertia IP,k? about the k? axis through the point P? IP,k?= __________________________ kg m2

Explanation / Answer

IP,k? = m1R2/2 + m1R2 + m2L2/3 + m3 (a2+b2)/12 + m3(L+b/2)2 + 0

(Disk) (Rod) (Rectangle) (Point mass as r=0)

=1*22/2 + 1*22 + 2*42/3 + 4(22+42)/12 + 4(4+2/2)2

= 123.33 kg-m2