Question 1. Calculate theoretical values for the moment ofinertia of the discs. Consider the rolling object as a solid disc plus a solid cylinder (protruding shaft) rotating around the same axis through their centres (Figure 2). Use the following data: Figure 2 Large disc: Diameter 150 mm Small disc: Diameter 100 mm Mass of the shaft = 0.127 kg Diameter of the shaft = 12.5 mm Moment of inertia of a solid disc or cylinder: 1 = MR²/2 Moment of inertia of two objects rotating together around the same fixed axis can be calculated as sum of moments of inertia of each object. Theoretical moments of inertia: Large disc plus shaft: Small disc plus shaft:

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...
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Question 1. Calculate theoretical values for the moment ofinertia of the discs. Consider the rolling object as a
solid disc plus a solid cylinder (protruding shaft) rotating around the same axis through their centres (Figure 2).
Use the following data:
Figure 2
Large disc:
Diameter 150 mm
Small disc:
Diameter 100 mm
Mass of the shaft = 0.127 kg
Diameter of the shaft = 12.5 mm
Moment of inertia of a solid disc or cylinder:
1 = MR²/2
Moment of inertia of two objects rotating together around the same fixed axis can be calculated as sum of
moments of inertia of each object.
Theoretical moments of inertia:
Large disc plus shaft:
Small disc plus shaft:
Transcribed Image Text:Question 1. Calculate theoretical values for the moment ofinertia of the discs. Consider the rolling object as a solid disc plus a solid cylinder (protruding shaft) rotating around the same axis through their centres (Figure 2). Use the following data: Figure 2 Large disc: Diameter 150 mm Small disc: Diameter 100 mm Mass of the shaft = 0.127 kg Diameter of the shaft = 12.5 mm Moment of inertia of a solid disc or cylinder: 1 = MR²/2 Moment of inertia of two objects rotating together around the same fixed axis can be calculated as sum of moments of inertia of each object. Theoretical moments of inertia: Large disc plus shaft: Small disc plus shaft:
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