Number of linearly independant motions

  • Thread starter Thread starter princejan7
  • Start date Start date
  • Tags Tags
    Linearly
AI Thread Summary
The discussion centers on determining the number of linearly independent motions in a mechanical system. Participants analyze the rotational motions of various joints, specifically J1, J2, and J3, with an emphasis on the implications of fixing one rotation to account for global motion. There is a consensus that J2 should also be considered, but the relevance of global motion is debated. Ultimately, the conversation highlights the complexity of identifying independent motions while acknowledging the need to simplify the system for analysis. Understanding these dynamics is crucial for accurately modeling the system's behavior.
princejan7
Messages
93
Reaction score
0

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?
 
Physics news on Phys.org
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.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top