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- Thread starter benny1993
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In summary, the conversation is about solving a problem involving ft, lb, and N. The person is having trouble getting the correct answer and is seeking help. They realize they made a mistake by writing the answer in N instead of lbs. They also discuss the direction of F(p), with one person assuming it to be horizontal while the other argues that the assumption is unfounded. The conversation then shifts to finding the correct answer and simplifying the moment balance equation. Finally, there is a discussion about the 75 lb tension in the cable and the magnitude of the force at the hinge.

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What is the direction of F

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And about the direction of F(p), I assumed it would be horizontal since the beam is in static equilibrium while remaining horizontally.

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Why not just write the moment balance simply as $$(120)(6)=T_y(12)$$

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Wouldn't the answer still be the same?Chestermiller said:Why not just write the moment balance simply as $$(120)(6)=T_y(12)$$

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Assumption is unfounded.benny1993 said:I assumed it would be horizontal since the beam is in static equilibrium

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Then what would be the correct answer?BvU said:Assumption is unfounded.

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Yes, but wouldn’t be simpler? This would also allow you to immediately determine the vertical reaction force component at the pin.benny1993 said:Wouldn't the answer still be the same?

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But you have the 75 lb right there in your calculations.

The question is*what is the magnitude of the force*, not *what is the horizontal component of the force*.

The question is

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Not exactly. The 75lb found in post #1 is for the tension in the cable. However, there is a neat way of seeing that the reaction at the hinge must have the same magnitude.jack action said:

The question iswhat is the magnitude of the force, notwhat is the horizontal component of the force.

Easily falsified. Consider moments about the tip of the beam.benny1993 said:And about the direction of F(p), I assumed it would be horizontal

Static equilibrium refers to the state of an object where it is at rest and there is no net force or torque acting on it. This means that the object is not moving and all the forces and torques are balanced.

A beam achieves static equilibrium when the sum of all the forces acting on it is equal to zero and the sum of all the torques acting on it is also equal to zero. This means that the beam is not moving and is in a state of balance.

Static equilibrium refers to a state of balance where an object is at rest and not moving. Dynamic equilibrium, on the other hand, refers to a state of balance where an object is moving at a constant velocity.

In order to calculate the forces and torques on a beam in static equilibrium, you need to use the principles of Newton's laws of motion and the concept of torque. You can set up equations to balance the forces and torques on the beam and solve for the unknown variables.

Some factors that can affect static equilibrium in a beam include the distribution of weight or load on the beam, the length and material of the beam, and the support structures that the beam is attached to. Any changes in these factors can alter the forces and torques acting on the beam and affect its state of equilibrium.

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