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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 $a$?
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 $W$?
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?
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 $W$?
If $a = 0.5l$, what is the magnitude of the horizontal force $F$ acting on the bar with weight $W$?
How does the horizontal force $F$ change as the distance $a$ increases from 0 to $l/2$, assuming the bar remains in equilibrium?
How does the horizontal force $F$ change as the distance $a$ increases from 0 to $l/2$, assuming the bar remains in equilibrium?
Flashcards
What is 'a' when the normal force at point A is zero?
What is 'a' when the normal force at point A is zero?
The distance from the left end of the beam to the point where the normal force at point A becomes zero.
What is the horizontal force 'F' when the normal force at point A is zero?
What is the horizontal force 'F' when the normal force at point A is zero?
The horizontal force that is required to keep the beam in equilibrium when the normal force at point A is zero.
What value of 'a' prevents equilibrium?
What value of 'a' prevents equilibrium?
The value of 'a' for which the beam cannot be in equilibrium under any horizontal force 'F'.
What is the horizontal force 'F' when a = 0.5l?
What is the horizontal force 'F' when a = 0.5l?
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What is equilibrium?
What is equilibrium?
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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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