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

In summary, the conversation discusses two similar situations involving a rod on a surface, one with an angle ##\beta## and one leaning against a wall. The question is why the reaction force is inclined in the first case but perpendicular to the wall and surface in the second case. The problem statement for the rod at angle ##\beta## involves determining angular acceleration, reaction force, friction force, and the minimum coefficient of friction for no slip on a rough surface. It is noted that in both cases, there is a normal force and a potential frictional force, which can be represented separately or as a single reaction force. In the left hand picture, the net force is shown as being along the rod, but it is unclear why this should
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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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  • #2
Do you have the complete problem statement for the rod at angle ##\beta##?
 
  • #3
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"
 
  • #4
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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FAQ: Why Is the Reaction Force Inclined in One Case but Perpendicular in Another?

What is reaction force?

Reaction force is the force exerted by a body in response to an external force acting on it. It is equal in magnitude and opposite in direction to the external force.

How does reaction force act on a rod?

Reaction force acts on a rod when an external force is applied to it, causing it to bend or deform. The reaction force then pushes back against the external force, trying to restore the rod to its original shape.

How is the reaction force calculated on a rod?

The reaction force on a rod can be calculated using the equation F = -kx, where F is the force, k is the spring constant, and x is the displacement of the rod. This equation is known as Hooke's Law.

What factors can affect the reaction force on a rod?

The reaction force on a rod can be affected by various factors such as the material and shape of the rod, the magnitude and direction of the external force, and the environment in which the rod is placed. The stiffness of the rod and the surface it is resting on can also impact the reaction force.

How is the reaction force useful in practical applications?

The reaction force on a rod is crucial in many practical applications such as bridges, buildings, and other structures. Engineers and architects use the concept of reaction force to design and construct stable and safe structures that can withstand external forces and loads.

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