EAS208_Exam03_MakeUp_111210_FINAL_Solutions

EAS208_Exam03_MakeUp_111210_FINAL_Solutions - Name: EAS208...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
EAS208 Fall 2010 – Exam 3 Make-up Exam SOLUTIONS Name: Person Number: Problem 1: Point is moving to the right with a constant velocity of C 20 in s . Also, from a previous calculation, the angular velocity of bar AB is 2.94 AB rad s ω =− and the angular velocity of bar BC is 1.18 BC rad s = . Determine: a) The acceleration of B b) The angular acceleration of bar and bar AB BC (30 points) Solution: The acceleration of point B relative to point is: A ( ) BAA B B A B A B B AA rr αω =+ × + × × aa r r r () ( ) ( ) ( ) ( ) ( ) 04 4 4 BA B A B A B = + ×++ × ×+ ak i 4 j kk i j r ( ) ( ) 44 B A B A B A B A ααω ωω + + × − + ai B j ki j 22 4444 B A B α αωω + j i j ( ) 2 B A B A + + 2 B j (1) The acceleration of point B relative to point C is: ( ) BCB C B B C B C B CC × + × × r r r ( ) ( ) ( ) ( ) ( ) 01 0 7 1 0 BB C B C B C ×− + + × ×− + i 7 j i j r ( ) ( ) 71 0 0 CB C B C B αα + j C j B C 07 C + j i j ( ) 10 7 7 10 C B C B C B C ωα =−− + j (2)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
From Eq. (1) and Eq. (2): () ( ) ( ) 22 4 4 4 4 10 7 7 10 BA B A B A B B C B CB C B αω ωα ω α =− + + = + ai C j i j The and i j components must be equal in the above equation, thus: ( ) ( ) (1) (2) 44 1 07 441 71 0 0 AB AB BC BC AB AB BC BC AB AB BC BC AB AB BC BC + −+ = −− = ⇒⇒ ⎨⎨ −= + ii jj (1) (2) 2 2 8 3 17 17 8 3 0 4471 0 AB BC BC BC AB BC AB AB BC BC AB AB BC BC ωω αωω + ⎧⎧ =+ =−− ⎩⎩ ( ) 2 4.313 17 8 2.94 3 1.18 447 1 0 1 0 BC BC AB AB BC BC AB AB BC BC rad s = ⎪⎪ ⇒⇒⇒ 2 2 2 4.313 4.313 4.576 4 4 2.94 7 1.18 10 4.313
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 10/27/2011 for the course EAS 208 at SUNY Buffalo.

Page1 / 7

EAS208_Exam03_MakeUp_111210_FINAL_Solutions - Name: EAS208...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online