How Does Removing Degrees of Freedom Impact Mechanical Linkages?

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SUMMARY

Removing degrees of freedom in mechanical linkages directly impacts the ability of an object to transmit forces. When a degree of freedom is eliminated, the object becomes mechanically linked to its environment, allowing it to respond to forces according to Newton's third law of motion. This principle indicates that each removed degree of freedom corresponds to a degree of transmissible effort, enhancing the object's stability and control in mechanical systems.

PREREQUISITES
  • Understanding of Newton's third law of motion
  • Familiarity with mechanical linkages and degrees of freedom
  • Basic knowledge of force transmission in mechanical systems
  • Concept of mechanical stability and control
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Fawzi Da
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When a degree of freedom exists, the object is considered free to move in this direction, so that it is not possible to transmit a force onto the object in this direction (i.e. the object slips away when push against, like on ice or ball bearings). For the object to react to a force through the principle of reciprocity of forces (Newton's third law of motion) the object is required to not be free to move in the direction of the transmitted force. This therefore implies that for any isolated mechanical link or object, each degree of freedom removed creates a degree of mechanical linkage to its environment. These degree of mechanical linkage are also referred to as degree of transmissible efforts.

Hello everyone. I would really appreciate it if someone can explain to me this whole paragraph as I'm sure I have done it before but the description seems a little confusing. It would help if the parts that are underlined are explained in detail by someone.

Ps: It's from our pre-lecture preparation but most of the understand is done alone.
I appreciate it and thank you in advance!
Fawzi
 
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In complex terms, it is simply saying that if you eliminate the degree of freedom of an object in a given direction, then it is assumed that the object is attached to something stopping or controlling its movement in that direction.
 

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