A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R0 = 0.62 m and mass M = 24.29 kg . It then has a circular hole of radius R1 = 0.05 m drilled into it. The hole’s center is a distance h = 0.09 m from the center of the disk. Find the moment of inertia of this disk (with Âoff-center hole) when rotated about its center, in kg*m^2.
Solution
Given :-
Ro = 0.62 m
M = 24.29 kg
R1 = 0.05 m
h = 0.09 m
Moment of inertia of the disk
I = 1/2*M/R 0 2 [R 0 4 - R 1 4 - 2 R 1 2 h 2 ]
I = 1/2 * 24.29/0.62 2 [0.62 4 - 0.05 4 - 2*0.05 2 0.09 2 ]
I = 4.67 kg.m 2
.
A crucial part of a piece of machinery starts as a flat uniform cylind.docx
1. A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R0 = 0.62
m and mass M = 24.29 kg . It then has a circular hole of radius R1 = 0.05 m drilled into it. The
hole’s center is a distance h = 0.09 m from the center of the disk. Find the moment of inertia
of this disk (with Âoff-center hole) when rotated about its center, in kg*m^2.
Solution
Given :-
Ro = 0.62 m
M = 24.29 kg
R1 = 0.05 m
h = 0.09 m
Moment of inertia of the disk
I = 1/2*M/R 0
2
[R 0
4
- R 1
4
- 2 R 1
2
h 2
]
I = 1/2 * 24.29/0.62 2
[0.62 4
- 0.05 4
- 2*0.05 2
0.09 2
]
I = 4.67 kg.m 2
![A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R0 = 0.62
m and mass M = 24.29 kg . It then has a circular hole of radius R1 = 0.05 m drilled into it. The
hole’s center is a distance h = 0.09 m from the center of the disk. Find the moment of inertia
of this disk (with Âoff-center hole) when rotated about its center, in kg*m^2.
Solution
Given :-
Ro = 0.62 m
M = 24.29 kg
R1 = 0.05 m
h = 0.09 m
Moment of inertia of the disk
I = 1/2*M/R 0
2
[R 0
4
- R 1
4
- 2 R 1
2
h 2
]
I = 1/2 * 24.29/0.62 2
[0.62 4
- 0.05 4
- 2*0.05 2
0.09 2
]
I = 4.67 kg.m 2](https://image.slidesharecdn.com/acrucialpartofapieceofmachinerystartsasaflatuniformcylind-230127054629-ab3d27ac/85/A-crucial-part-of-a-piece-of-machinery-starts-as-a-flat-uniform-cylind-docx-1-320.jpg)
