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

AI Thread Summary
The discussion centers on the differences in reaction forces for a rod positioned at an angle on a smooth surface versus one leaning against a wall. In the first scenario, the reaction force is inclined due to the angle of the rod, while in the second scenario, it is perpendicular because the wall provides a normal force without friction. The inquiry also seeks clarification on the complete problem statement regarding the rod's angular acceleration and frictional forces. It is noted that in both cases, normal and frictional forces can be represented separately or combined as a single reaction force. Understanding these distinctions is crucial for analyzing the dynamics of the rods in different orientations.
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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?
 

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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.
 
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