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# p0801 - 320 CHAPTER 8 RIGID-BODY KINETICS 8.1 Chapter 8...

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Unformatted text preview: 320 CHAPTER 8. RIGID-BODY KINETICS 8.1 Chapter 8, Problem 1 Problem: A thin disk of mass m and radius r is mounted on horizontal Axle AB as shown. The plane of the disk is inclined at an angle β to the vertical. The axle rotates with constant angular velocity ω . (a) Determine the angular momentum vector, H G . (b) Determine the angle, θ , between H G and the axle as a function of β . Make a graph of your results for o ≤ β ≤ 90 o Solution: The first thing we must do is take care of kinematical considerations. For the problem at hand, we will have to transform from the given xyz coordinates to principal axis coordinates x I y I z I . Also, we will need the inertia tensor for the thin disk. The figure below illustrates the relation between the xyz and x I y I z I coordinate systems. .. ... ... .... .... .... ..... ..... ...... ...... ...... ....... ...... ...... ...... ....... ...... ...... ...... ....... ...... ...... ...... ....... ...... ...... ...... ....... ...... ...... ...... ....... ...... .........
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p0801 - 320 CHAPTER 8 RIGID-BODY KINETICS 8.1 Chapter 8...

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