Equilibrium of a Uniform Bar Quiz
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Questions and Answers

A uniform bar of length $l$ and weight $W$ is in equilibrium. If the normal force at point A is zero, what is the value of $a$?

  • $2l/3$
  • $l/2$ (correct)
  • $l/3$
  • $l/4$
  • Under the condition where the normal force at point A is zero, what is the value of the horizontal force $F$ on the uniform bar of weight $W$?

  • $W/\sqrt{3}$
  • $\sqrt{3}W$
  • $W/2$ (correct)
  • $W$
  • For what value of $a$ is it impossible for the uniform bar to achieve equilibrium?

  • $l/2$
  • $l/4$
  • $l$
  • $0$ (correct)
  • If $a = 0.5l$, what is the magnitude of the horizontal force $F$ acting on the bar with weight $W$?

    <p>$W/2$</p> Signup and view all the answers

    How does the horizontal force $F$ change as the distance $a$ increases from 0 to $l/2$, assuming the bar remains in equilibrium?

    <p>The horizontal force $F$ decreases.</p> Signup and view all the answers

    Study Notes

    Problem Description

    • A uniform bar with length 2m and weight 30N is inserted into an opening.
    • Surfaces are smooth.
    • The bar is in equilibrium.

    Equilibrium Conditions

    • Part a: Find the value of 'a' where the normal force at point A is zero.
    • Part b: At the condition found in part 'a', determine the horizontal force (F).
    • Part c: Find the value of 'a' where equilibrium cannot be achieved.
    • Part d: Calculate the horizontal force (F) when 'a' is half the length of the beam (a = 0.5l).

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    Description

    Test your understanding of the equilibrium conditions of a uniform bar with this quiz. You will explore the normal force, horizontal forces, and critical points of equilibrium. Each part challenges you to apply principles of physics to solve for unknowns along the bar.

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