Why Is the Reaction Force Inclined in One Case but Perpendicular in Another?

Click For Summary
SUMMARY

The discussion centers on the behavior of reaction forces in two scenarios involving a rod positioned at an angle β on different surfaces. In the first case, the reaction force is inclined due to the presence of friction on a rough surface, while in the second case, the reaction force is perpendicular to both the wall and the surface because it operates on a smooth surface without friction. The problem statement requires determining angular acceleration, reaction force, friction force, and the minimum coefficient of friction to prevent slipping.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction
  • Familiarity with angular motion concepts
  • Basic principles of equilibrium in mechanics
NEXT STEPS
  • Study the principles of static friction and its role in preventing slipping
  • Learn about angular acceleration calculations for rigid bodies
  • Explore the concept of normal force in different friction scenarios
  • Investigate the effects of surface roughness on reaction forces
USEFUL FOR

Students and professionals in physics, mechanical engineering, and anyone interested in understanding the dynamics of forces acting on rigid bodies in different scenarios.

Like Tony Stark
Messages
182
Reaction score
6
Homework Statement
Find the reaction force acting on the rod
Relevant Equations
##F=ma##
##M=I\alpha##
Hi, I have a doubt about reaction forces... I've attached a picture that shows two similar situations. The first one shows a rod left with an angle ##\beta## while it is on a smooth surface. The second one shows a rod leaning on a smooth surface and wall.

My question is: why is the reaction force "inclined" in the first case but perpendicular to the wall and surface in the second one?
 

Attachments

  • 20200124_140846.jpg
    20200124_140846.jpg
    30 KB · Views: 385
Physics news on Phys.org
Do you have the complete problem statement for the rod at angle ##\beta##?
 
TSny said:
Do you have the complete problem statement for the rod at angle ##\beta##?
It says "A rod is released from rest at an angle ##\beta## on a rough surface so that there's no slip. Determine angular acceleration, reaction force, friction force and the minimun coefficient of friction so that there's no slip"
 
Like Tony Stark said:
It says "A rod is released from rest at an angle ##\beta## on a rough surface so that there's no slip. Determine angular acceleration, reaction force, friction force and the minimun coefficient of friction so that there's no slip"
Originally you wrote it was a smooth surface, no?
In both cases there is, potentially, a normal force and a frictional force. You can choose to represent these components separately or as a single reaction force.

In the left hand picture, it shows the net force as being along the rod. I can't see why it should be. Maybe the task is to find at what angle that would be true.

In the right hand picture, there is no friction so you only have the normal forces.
 
Last edited:
  • Like
Likes   Reactions: Like Tony Stark

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
Replies
8
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
13
Views
4K
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
7
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K