Solving Dynamics Questions on Two Uniform Thin Discs

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Discussion Overview

The discussion revolves around a dynamics problem involving two uniform thin discs connected by a rigid rod, focusing on the analysis of their motion under the influence of an applied moment. Participants explore various aspects of the problem, including types of motion, free-body diagrams, and kinematic relationships, as well as the potential for slipping between the discs and the surface.

Discussion Character

  • Homework-related
  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the motion could be classified as rotational or circular motion, while another proposes it might be curvilinear or general plane motion.
  • Another participant agrees with the classification of the motion as general plane motion and mentions having created free-body diagrams, kinetic, and kinematic diagrams.
  • A question is raised about the presence of reaction forces on both discs in the vertical direction at the connection point, as opposed to only horizontal forces.

Areas of Agreement / Disagreement

Participants generally agree on the classification of the motion as general plane motion, but there are differing views on the specifics of the forces acting on the discs and how to approach the free-body diagrams.

Contextual Notes

Participants have not yet resolved the specifics of the forces acting on the discs, particularly regarding the reaction forces at the connection point. There is also uncertainty about the best method for constructing the free-body diagrams.

Who May Find This Useful

Students studying dynamics in mechanical engineering, particularly those preparing for exams involving motion analysis of connected rigid bodies.

billybomb
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Ok, I'm doing Mechanical Engineering so my assumption was to post in here?

I'm doing a dynamics module and revising for an up and coming exam. One of the 'revision' questions doesn't have the answer to work through, and typically I am finding it very difficult to get my head around it.

The question:

The two uniform thin discs shown in the figure below rest on a horizontal plane
and are connected through frictionless pin-joints at A and B by a rigid rod AB of
negligible mass which remains horizontal. The mass of disc A is 15 kg and that of
disc B is 25 kg. The static coefficients of friction between the plane and disc A and
B are 0.2 and 0.55, respectively, and the dynamic coefficients of friction are 0.15
and 0.45, respectively. At the instant shown, a counter-clockwise moment
T = 125 Nm. is applied to disc B. You are required to
Marks
(a) identify the type of ensuing motion of the discs,
(b) draw the free-body, kinematic and kinetic diagrams of the discs,
(c) write down the appropriate kinetic and kinematic relationships with
respect to a global reference axes system, indicating any assumption
made and
(d) determine the magnitudes and senses of the angular accelerations of
the discs and force developed, if any, in the rod AB.
(e) If slipping is anticipated, indicate with supporting arguments, whether
one of the discs will first slip or both will slip at the same time.
You must clearly show details of the analysis you have carried out using
equations in part (c) above to arrive at the results in part (d) in a reasonably
logical way.



2wh45dx.jpg


a) I am assuming its Rotational? But it moves position, so maybe circular motion?

b) Do i break down each component and do the FBD etc on each bit? Or do it as one big chunk? This is as far as i am...
 
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looking at notes i have from uni i would say that its either curvinlinear motion or general plane motion
 
oo i didn't expect a reply so i haven't been checking this!

Yes, I've made some progress and i agree, i think its General Plane Motion. I've made my FBD, Kinetic and Kinematic diagrams. ill upload them later and see if anyone can point me in the right direction!

Cheers
 
Is there a reaction force on both discs in the Y direction where the bar connects to the disc? Or is it just in the x direction?
 

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