Theory of Machines (Mechanical Engineering) question

AI Thread Summary
The discussion centers on understanding the concept of lambda, or the degree of freedom of space, in the context of mechanisms in mechanical engineering. Participants seek clarification on how to determine if lambda remains constant throughout a mechanism and request examples where it may not be constant. One suggestion involves analyzing mechanisms in segments where different constants of lambda apply, but there is debate about whether this approach is valid for calculating the overall degree of freedom. The conversation highlights the complexity of analyzing mechanisms with varying degrees of freedom and the importance of clear examples for better understanding. Overall, the need for practical examples and a deeper exploration of lambda's constancy in mechanisms is emphasized.
kalamar20
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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.
 
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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.
 
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mfb said:
No, why? If I can analyze both parts, it is fine.

OK, thanks.
 
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