Helping find moments in mass-spring-ball system

  • Thread starter Thread starter syndrome
  • Start date Start date
  • Tags Tags
    Moments System
Click For Summary
SUMMARY

The discussion focuses on modeling a mass-spring-ball system with friction, specifically addressing the equations of motion for two masses and the moments involved. The user has derived the equations for mass1 and mass2, incorporating forces such as spring force (k), frictional forces (F1, F2), and angular acceleration (α). The main challenge lies in determining the moment of force (Mfp) and how to properly account for the force F2 in the sum of moments, particularly whether it should be considered perpendicular to the radius (r) or not.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with rotational dynamics and moment of inertia
  • Knowledge of spring mechanics and Hooke's law
  • Basic principles of friction in mechanical systems
NEXT STEPS
  • Research how to calculate moments of force in rotational systems
  • Study the relationship between linear and angular motion in mass-spring systems
  • Explore methods for analyzing frictional forces in rolling objects
  • Learn about the dynamics of coupled oscillators and their equations of motion
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in modeling dynamic systems with friction and springs will benefit from this discussion.

syndrome
Messages
2
Reaction score
0
I have this mass-spring-ball system:

https://dl.dropbox.com/u/1723401/massa-molla/sistema.png

There is friction, but the ball only rolls.
I have to find the model of the system.

I started to divide the 2 systems and for mass1 I found the follow equation:

m_1 \cdot \ddot{x_1} = F_k - F_1 - F_{a1} = k \cdot (x_2 - x_1) - F_1 - F_{a1}

Then I find the equation for the ball, but I have some problem! I don't know how to consider that F2 in the sum of the moments!
The sum of the moments will be r * F2, or F2 must be perpendicular to R?

What I've done:

m_2 \cdot \ddot{x_2} = F_2 - F_k - F_{A2} = F_2 +k \cdot (x_2 - x_1) - F_{a2}
J \cdot \ddot{ \alpha } = F_{a2} \cdot r + M_{FP}

But now I don't know how to find Mfp..

any help?
 
Last edited by a moderator:
Physics news on Phys.org
Up.. please :confused:
 

Similar threads

Replies
4
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
2K
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 25 ·
Replies
25
Views
20K
Replies
4
Views
1K