Theory of Machines (Mechanical Engineering) question

Click For Summary

Discussion Overview

The discussion revolves around the concept of lambda, or the degree of freedom of space, in the context of mechanisms within a theory of machines course. Participants are exploring how to determine if lambda remains constant throughout a mechanism and are seeking examples and clarification on this topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions how to determine if lambda is constant in a mechanism and requests examples.
  • Another participant asks if the number of degrees of freedom can be checked for consistency throughout the mechanism.
  • Several participants inquire about methods to determine lambda and whether the results are uniform across different scenarios.
  • There is a suggestion that a joint may become fixed, leading to a split analysis of the mechanism into parts with different but constant lambda values.
  • One participant proposes that analyzing both parts separately is sufficient without needing to combine their degrees of freedom.

Areas of Agreement / Disagreement

The discussion reflects uncertainty and multiple viewpoints regarding the constancy of lambda and the methods for analysis. No consensus has been reached on how to approach the determination of lambda or the implications of varying degrees of freedom.

Contextual Notes

Participants have not provided specific examples of mechanisms where lambda is not constant, and there are unresolved questions about the implications of fixed joints on the analysis of degrees of freedom.

kalamar20
Messages
12
Reaction score
0
Hello all;

I have been thinking about something for some time and could not find it through the internet so i decided to ask this to you.

In theory of machines course, there is lambda (degree of freedom of space) in the degree of freedom of mechanism formula. As you already know, lambda should be constant throughout the mechanism in order to use the formula. Here is my question;

How do you know that lambda is constant or not? I cannot figure that out and i would appreciate very much if you gave me some examples. Thank you all for your interest.
 
Physics news on Phys.org
Can you check if the number of degrees of freedom is the same all the time?
 
mfb said:
Can you check if the number of degrees of freedom is the same all the time?

I couldnot understand you
 
How do you determine lambda?
Do this for all possible things that will happen. Is the result the same everywhere?
 
mfb said:
How do you determine lambda?
Do this for all possible things that will happen. Is the result the same everywhere?

Could you please give an example mechanism where lambda is not constant?
 
I guess some joint can get fixed or something like that. But then I would split the analysis in two parts, both with different (but constant) lambda.
 
mfb said:
I guess some joint can get fixed or something like that. But then I would split the analysis in two parts, both with different (but constant) lambda.

And then you would add their degrees of freedoms and find the degree of freedom of the whole mechanism?
 
No, why? If I can analyze both parts, it is fine.
 
  • Like
Likes   Reactions: 1 person
mfb said:
No, why? If I can analyze both parts, it is fine.

OK, thanks.
 

Similar threads

Mechanical Advantage on Gym Machines
  • · Replies 3 ·
Replies
3
Views
1K
Markov chains and production line comprising 3 machines
  • · Replies 54 ·
2
Replies
54
Views
6K
Mechanical engineering: Maximum Power Transmitted by a V-Belt Assembly
  • · Replies 1 ·
Replies
1
Views
2K
Engineering Deflection and Slope of a Simply Supported Beam
  • · Replies 8 ·
Replies
8
Views
2K
Engineering Thermodynamics calculation: Flashing water at 75C
  • · Replies 18 ·
Replies
18
Views
3K
Job Skills Should I leave an Automotive Mechanic's Degree on my Engineering Resume?
  • · Replies 5 ·
Replies
5
Views
2K
Shifting from Mechanical Engineer to Aerospace Engineer
  • · Replies 3 ·
Replies
3
Views
3K
Design an Infinite NTM for Any Input String: Turing Machine Question
  • · Replies 5 ·
Replies
5
Views
2K
Other Masters in Physics after working in Engineering
  • · Replies 7 ·
Replies
7
Views
3K
How Do You Calculate Engine Power for Semi Trucks in Various Conditions?
  • · Replies 8 ·
Replies
8
Views
3K