7. A horizontal beam 6.0 m long projects from the wall of a building. A guy wire that makes an angle of 40 angle with the horizontal is attached to the outer end of the beam, what is the tension of the guy wire? (Negleet the weight of the beam)

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Solve the problem number 7 by following the steps below:
7. A horizontal beam 6.0 m long projects from the wall of a building. A guy wire that makes an angle of 40°
angle with the horizontal is attached to the outer end of the beam, what is the tension of the guy wire? (Neglect
the weight of the beam)
Transcribed Image Text:7. A horizontal beam 6.0 m long projects from the wall of a building. A guy wire that makes an angle of 40° angle with the horizontal is attached to the outer end of the beam, what is the tension of the guy wire? (Neglect the weight of the beam)
Step 1: Represent the problem by making a sketch of the problem and by
gathering all pertinent data given.
Step 2: Draw the free body diagram of the object(s) labeling all external
forces acting on the object(s).
Step 3: Choose a convenient two coordinate system, resolve all forces into
their rectangular components.
Step 4: Apply the l" condition of equilibrium at each of the two axes.
Remember the sign convention. For forces along the x- axis; a force
to the right is positive while a force to the left is negative and for the
y- axis, an upward force is positive, a downward force is negative.
Bear in mind also that the signs indicate the direction of the forces.
(refer to the resolution and addition of vectors)
Step 5: Solve for your unknown forces. If you have more than one unknown
as you often will remember to derive as many independent equations
as the number of unknown forces you have. This will give you a set
of simultaneous equation wherein the unknowns can be solved in
terms of the given quantities. You use algebra as a mathematical tool
until you are able to solve for what is asked of you in the problem.
Transcribed Image Text:Step 1: Represent the problem by making a sketch of the problem and by gathering all pertinent data given. Step 2: Draw the free body diagram of the object(s) labeling all external forces acting on the object(s). Step 3: Choose a convenient two coordinate system, resolve all forces into their rectangular components. Step 4: Apply the l" condition of equilibrium at each of the two axes. Remember the sign convention. For forces along the x- axis; a force to the right is positive while a force to the left is negative and for the y- axis, an upward force is positive, a downward force is negative. Bear in mind also that the signs indicate the direction of the forces. (refer to the resolution and addition of vectors) Step 5: Solve for your unknown forces. If you have more than one unknown as you often will remember to derive as many independent equations as the number of unknown forces you have. This will give you a set of simultaneous equation wherein the unknowns can be solved in terms of the given quantities. You use algebra as a mathematical tool until you are able to solve for what is asked of you in the problem.
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