Identifying all forces on this stick

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SUMMARY

The discussion focuses on analyzing the forces acting on a stick connected to a wall via a hinge and a string. The stick, with length L, is horizontal and the string makes an angle θ with it. Key forces identified include the tension in the string, which can be decomposed into x and y components, the gravitational force (mg) acting at the midpoint of the stick, and the normal force at the wall-stick connection. Additionally, the presence of a frictional force acting upwards at the stick-wall connection is confirmed as necessary for equilibrium.

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  • Knowledge of vector decomposition for analyzing forces
  • Familiarity with trigonometric functions, particularly in right triangles
  • Basic principles of static friction and normal force interactions
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Homework Statement


A stick is connected by a hinge to a wall. The other end of the stick is attached to the wall with a string. The stick is horizontal and has length L and the string makes an angle of θ with the stick.



The Attempt at a Solution


So imagine a right triangle. The vertical side adjacent to the right angle is the wall. The horizontal adjacent side is the stick, connected to the wall. The hypotenuse is the string connecting the edge of the stick to the wall.

The forces acting on the stick would be according to me:

The tension, acting in the same direction of the string, but can be broken down into x and y components. The mg of the stick, acting on it in the middle of the stick. The normal force from the wall-stick connection acting in the horizontal direction.

I'm wondering if there would be a frictional force pointing in the up direction at the stick wall connection?
 
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