500_Dynamics 11ed Manual

500_Dynamics 11ed Manual - sin ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟...

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

View Full Document Right Arrow Icon
Engineering Mechanics - Dynamics Chapter 16 The gear has the angular motion shown. Determine the angular velocity and angular acceleration of the slotted link BC at this instant. The peg at A is fixed to the gear. Given: r 1 0.5 ft = ω 2 rad s = r 2 0.7 ft = α 4 rad s 2 = a 2f t = Solution: ba 2 r 1 r 2 + () 2 = θ atan r 1 r 2 + b = Guesses BC 1 rad s = BC 1 rad s 2 = v rel 1 ft s = a rel 1 ft s 2 = Given r 1 r 2 + () 0 0 0 0 BC b r 1 r 2 + 0 × v rel cos () sin () 0 + = r 1 r 2 + () r 1 2 0 0 0 BC b r 1 r 2 + 0 × 0 0 BC 0 0 BC b r 1 r 2 + () 0 × × + a rel cos
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( ) sin ( ) ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ 2 BC ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ v rel cos ( ) sin ( ) ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ ⎡ ⎢ ⎢ ⎣ ⎤ ⎥ ⎥ ⎦ × + + ... = BC BC v rel a rel ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ Find BC BC , v rel , a rel , ( ) = v rel 1.92 − ft s = a rel 4.00 − ft s 2 = BC 0.72 rad s = BC 2.02 rad s 2 = 498 Problem 16-145...
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