A torsional pendulum consists of a 5 kg. uniform disk with a radius of 0.25 m attached at its center to a rod 1.8 m in length. The torsional spring constant is 0.625 Nm/rad. Disregarding the mass of the rod, what is the undamped natural circular frequency of the torsional pendulum? I. 1.2 rad/s II. 1.0 rad/s Please explain Why III. I=mR², Not 1/2mR²? 1.4 rad/s IV. 2.0 rad/s

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Chapter1: Units, Trigonometry. And Vectors
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I am confused with the Moment of inertia calculation. please explain it. (Don't use chatgpt)
A torsional pendulum consists of a 5 kg.
uniform disk with a radius of 0.25 m
attached at its center to a rod 1.8 m in
length. The torsional spring constant is 0.625
Nm/rad. Disregarding the mass of the rod,
what is the undamped natural circular
frequency of the torsional pendulum?
I.
1.2 rad/s
II.
1.0 rad/s
Please explain Why
III.
I=mR², Not 1/2mR²?
1.4 rad/s
IV.
2.0 rad/s
Transcribed Image Text:A torsional pendulum consists of a 5 kg. uniform disk with a radius of 0.25 m attached at its center to a rod 1.8 m in length. The torsional spring constant is 0.625 Nm/rad. Disregarding the mass of the rod, what is the undamped natural circular frequency of the torsional pendulum? I. 1.2 rad/s II. 1.0 rad/s Please explain Why III. I=mR², Not 1/2mR²? 1.4 rad/s IV. 2.0 rad/s
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