Get Help with Hibbeler Dynamics 20-7 Problem

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Discussion Overview

The discussion revolves around a dynamics problem from Hibbeler, specifically problem 20-7, which involves determining the angular velocity of gear A in relation to gear B, given that gear B rotates at a constant rate. The scope includes homework-related assistance and technical reasoning regarding angular velocities and cross products.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in starting the problem and notes that their answers are yielding components in the i direction instead of the expected j and k directions.
  • Another participant suggests that a drawing or sketch may be necessary to provide further assistance.
  • A third participant shares a link to an image of the problem for better visualization.
  • A later reply mentions obtaining an answer from the back of the book but expresses uncertainty about the methods used to arrive at that answer, indicating a willingness to provide reasoning later.

Areas of Agreement / Disagreement

Participants do not seem to reach a consensus, as there are varying levels of confidence in the methods used and a general uncertainty about the problem-solving approach.

Contextual Notes

There is a lack of clarity regarding the assumptions made in the problem, and the dependence on visual aids is noted as a potential limitation in understanding the dynamics involved.

aero10
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Homework Statement



20-7
If the top gear B rotates at a constant rate of [tex]\omega[/tex], determine the angular velocity of gear A, which is free to rotate about the shaft and rolls on the bottom fixed gear C.

Homework Equations


V=[tex]\omega[/tex] x r
Va=Vb + [tex]\omega[/tex] x r


The Attempt at a Solution


I'm really having trouble figuring out how to start...I keep getting answers with i (and I know I am doing my cross products right, and I should be getting answers with j and k.
 
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aero10 said:

Homework Statement



20-7
If the top gear B rotates at a constant rate of [tex]\omega[/tex], determine the angular velocity of gear A, which is free to rotate about the shaft and rolls on the bottom fixed gear C.

Homework Equations


V=[tex]\omega[/tex] x r
Va=Vb + [tex]\omega[/tex] x r


The Attempt at a Solution


I'm really having trouble figuring out how to start...I keep getting answers with i (and I know I am doing my cross products right, and I should be getting answers with j and k.

I think we need a drawing or sketch, before we'll be of much help on this one.

Welcome to the PF, BTW.
 
I got the answer in the back of the book, but I am not confident on the methods by which I got it. So if anyone needs help on this question, I will be able to give concrete reasoning after tomorrow.
 

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