708_Dynamics 11ed Manual

708_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 a = 1.5 Chapter 20 m 2 s rad s ω1 = 0.5 ω'1 = 3 rad 2 s θ 1 = 30 deg ω2 = 3 rad s L = 20 m r =3m Solution: 0 ⎞ ⎞ ⎛ 0 ⎞ ⎛ 0 ⎟ ⎛ 0 ⎞ ⎛ ω2 ⎟ ⎛ ⎜ ⎞ ⎜⎟ ⎜ ⎜ ⎜ v ⎟ + 0 × r + 0 × L cos ( θ 1) ⎟ vB = ⎟ ⎜⎟ ⎜ ⎟ ⎜⎟ ⎜ ⎟ ⎜ ⎜ ω1 ⎟ ⎝ 0 ⎠ ⎜ ω ⎟ ⎜ L sin ( θ ) ⎟ ⎝0⎠ ⎝ ⎠ 1⎠ ⎝ 1⎠ ⎝ −ω' r 0 0 ⎞ ⎛ ω2 ⎞ ⎡⎛ ω2 ⎞ ⎛ ⎞⎤ ⎛0⎞ ⎛ 1 ⎞ ⎛ 0 ⎞ ⎛ ⎜ ⎟⎜ ⎟⎜ ⎟ ⎜ ⎟ ⎢⎜ ⎟ ⎜ ⎟⎥ ⎜a⎟ + 2 aB = + ω1 ω2 ⎟ × ⎜ L cos ( θ 1 ) ⎟ + ⎜ 0 ⎟ × ⎢⎜ 0 ⎟ × ⎜ L cos ( θ 1 ) ⎟⎥ ⎜ ⎟ ⎜ −ω1 r ⎟ ⎜ ⎝ 0 ⎠ ⎜ 0 ⎟ ⎜ ω'1 ⎟ ⎜ L sin ( θ 1) ⎟ ⎜ ω1 ⎟ ⎢⎜ ω1 ⎟ ⎜ L sin ( θ 1 ) ⎟⎥ ⎠⎝ ⎠ ⎝ ⎠ ⎣⎝ ⎠ ⎝ ⎠⎦ ⎝ ⎠⎝ ⎛ −10.2 ⎞ ⎜ ⎟m vB = −28.0 ⎜ ⎟s ⎝ 52.0 ⎠ ⎛ −31.0 ⎞ ⎜ ⎟m aB = −159.5 ⎜ ⎟2 ⎝ −90.0 ⎠ s *Problem 20-40 At a given instant, the rod has the angular motions shown, while the collar C is moving down relative to the rod with a velocity v and an acceleration a. Determine the collar’s velocity and acceleration at this instant. Given: v=6 ft s 706 ...
View Full Document

This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

Ask a homework question - tutors are online