772_Dynamics 11ed Manual

772_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Engineering Mechanics - Dynamics ⎛α ⎞ ⎜⎟ ⎜ β ⎟ = acos ( u) ⎜γ ⎟ ⎝⎠ Chapter 21 ⎛ α ⎞ ⎛ 69.3 ⎞ ⎜⎟⎜ ⎟ ⎜ β ⎟ = ⎜ 127.8 ⎟ deg ⎜ γ ⎟ ⎝ 45.0 ⎠ ⎝⎠ The last rotation (ψ) does not affect the result because the rod just spins around its own axis. The order of application of the rotations does affect the final result since rotational position is not a vector quantity. Problem 21-63 The turbine on a ship has mass M and is mounted on bearings A and B as shown. Its center of mass is at G, its radius of gyration is kz, and kx = ky. If it is spinning at angular velocity ω, determine the vertical reactions at the bearings when the ship undergoes each of the following motions: (a) rolling ω1, (b) turning ω2, (c) pitching ω3. Units Used: kN = 1000 N Given: M = 400 kg kx = 0.5 m ω = 200 rad s kz = 0.3 m ω1 = 0.2 rad s a = 0.8 m ω2 = 0.8 rad s ω3 = 1.4 rad s b = 1.3 m Solution: ⎛ kx2 0 0 ⎞ ⎜ ⎟ ⎜ ⎟ IG = M 0 kx2 0 ⎜ ⎟ ⎜ 2⎟ ⎝ 0 0 kz ⎠ Guesses Ax = 1 N Ay = 1 N Bx = 1 N By = 1 N 770 ...
View Full Document

Ask a homework question - tutors are online