Number of linearly independant motions

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SUMMARY

The discussion centers on determining the number of linearly independent motions in a mechanical system involving joints J1, J2, and J3. The consensus is that J1 and J3 contribute to the system's motion, while J2's contribution may be considered irrelevant due to the global motion constraint. Specifically, the analysis indicates that fixing one rotation simplifies the evaluation of independent motions, leading to a clearer understanding of the system's degrees of freedom.

PREREQUISITES
  • Understanding of kinematic chains and degrees of freedom
  • Familiarity with joint types and their motions (e.g., revolute joints)
  • Knowledge of mechanical systems and constraints
  • Basic grasp of linear independence in motion analysis
NEXT STEPS
  • Study the principles of kinematic chains in mechanical systems
  • Learn about the analysis of degrees of freedom in robotic arms
  • Explore the concept of constraints and their impact on motion
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Mechanical engineers, robotics students, and anyone involved in analyzing the motion of mechanical systems will benefit from this discussion.

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Homework Statement


http://postimg.org/image/uc0c581cb/

For (b), how many points of linearly independent motion are present in this system?

Homework Equations

The Attempt at a Solution


The solution says there is rotation of J1, between K1 and D1, to the right of K2 and finally J3

But isn't there also rotation for J2?
 
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I agree, there should be J2. On the other hand, one degree of freedom corresponds to a global motion of the whole system, which might be irrelevant, so you can fix one rotation.
 

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