Static Equilibrium On a Beam Question

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Homework Help Overview

The problem involves a uniform beam inclined at an angle to the horizontal, supported by a rope at one end and resting on a rough surface at the other. The discussion centers around the behavior of the beam when it is repositioned slightly to the left, particularly regarding static equilibrium and the potential for slipping.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the beam will slip or remain stationary after being carefully repositioned. Questions arise about the implications of static friction and the forces acting on the beam in its new position.

Discussion Status

The discussion is ongoing, with participants questioning the assumptions about the beam's stability after being moved. Some suggest that careful placement might ensure the beam remains stationary, while others indicate that the outcome depends on the forces involved.

Contextual Notes

There is a focus on the conditions under which the beam is placed back on the ground, specifically regarding the static friction and the angle of inclination. The exact forces acting on the beam in its new position are not fully detailed, leaving room for further exploration.

hardygirl989
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Homework Statement



A uniform beam of length L and mass m shown in the figure below is inclined at an angle of θ to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough horizontal surface. The coefficient of static friction between the beam and surface is μs. Assume the angle θ is such that the static friction force is at its maximum value.

(e) What happens if the beam is lifted upward and its base is placed back on the ground slightly to the left of its position in the figure above?

Picture: http://www.webassign.net/serpse8/12-p-016.gif

Homework Equations



N/A

The Attempt at a Solution



I figure out most of the question, but I am having trouble with part e. I guess I just need clarification on the vocabulary. Would the beeam slip since it does move to the left or does it stay stationary because the person moved it to the left? Can anyone help? Thanks.
 
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Assume that the person places it carefully so that it is not in motion before he let's go. The question then is, will the beam start to slip in its new position or will it remain in place?
 
If the person places it so carefully, then is it safe to assume that the beam will remain stationary?
 
hardygirl989 said:
If the person places it so carefully, then is it safe to assume that the beam will remain stationary?

Nope. That will depend upon the sum of the forces acting.
 

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