The boom in the figure is uniform and weighs 2.20 kN.The magnitude of the tension in the guy wire is
A)~0.635 kN
B)~1.83 kN
C)~1.94 kN
D)~1.47 kN
E)None of these is correct.

Question

The boom in the figure is uniform and weighs 2.20 kN.The magnitude of the tension in the guy wire is 
A)~0.635 kN 
B)~1.83 kN 
C)~1.94 kN 
D)~1.47 kN 
E)None of these is correct.

Quizplus · Accepted Answer

The tension in the guy wire can be found using the equation:
Tension = weight/2 * (1/cos(theta))
Where theta is the angle between the boom and the guy wire.
Since the boom is horizontal and the guy wire is at an angle of 30 degrees with the horizontal, we can use:
cos(theta) = cos(30 degrees) = sqrt(3)/2
Plugging in the given values:
Tension = 2.20 kN/2 * (1/(sqrt(3)/2)) = 2.20 kN * (2/sqrt(3)) = ~1.94 kN
Therefore, the best choice is (C).

The Boom in the Figure Is Uniform and Weighs 2