5. The figure below shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.5 s. Assuming R=0.50 m and m=2.0 kg, calculate the structure's rotational inertia about the axis of rotation. Notice that you will need to use the moment of inertia of a hoop through it's center about an axis that is in the plane of the hoop, which would be MR2 (not through it's center in an axis that is perpendicular to the plane of the hoop, which would be MR?). You will need to use the parallel axis theorm in this problem. Rotation axis R 2R
5. The figure below shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.5 s. Assuming R=0.50 m and m=2.0 kg, calculate the structure's rotational inertia about the axis of rotation. Notice that you will need to use the moment of inertia of a hoop through it's center about an axis that is in the plane of the hoop, which would be MR2 (not through it's center in an axis that is perpendicular to the plane of the hoop, which would be MR?). You will need to use the parallel axis theorm in this problem. Rotation axis R 2R
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Transcribed Image Text:5.
The figure below shows a rigid structure consisting of a circular hoop of radius
R and mass m, and a square made of four thin bars, each of length R and mass m. The
rigid structure rotates at a constant speed about a vertical axis, with a period of rotation
of 2.5 s. Assuming R=0.50 m and m=2.0 kg, calculate the structure's rotational inertia
about the axis of rotation. Notice that you will need to use the moment of inertia of a
hoop through it's center about an axis that is in the plane of the hoop, which would be
MR (not through it's center in an axis that is perpendicular to the plane of the hoop,
which would be MR?). You will need to use the parallel axis theorm in this problem.
Rotation axis
R
2R
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