Tension in the end part of the cable connected to the support is 10 KN at 300 in the fourth quadrant. The support reaction will be
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The support reaction will be 5 kN
Step-by-step explanation:
Given:
Tension in the end part of a cable connected to a support is 10 kN at an angle of 300° in fourth quadrant
To find out:
The support reaction
Solution:
As shown in the attached figure, the angle made by the cable from the +x axis is 60°
Resolving the tension force of 10 kN in two components
Horizontal component = 10cos 60° = 10 × (1/2) = 5 kN
Vertical component = 10 sin 60° = 10 × (√3/2) = 5√3 kN
The support reaction R will be equal to the horizontal component of the force
Thus,
Support reaction
R = 5 kN
Hope this answer is helpful.
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