Chapter 5, Problem 100A

To determine

The component of the force along the guy wires which is larger.

Answer to Problem 100A

Perpendicular component with respect to the ground.

Explanation of Solution

Given:

The guy wire makes an angle of $67°$ above the horizontal.

Formula used:

If a force is acting along a direction at an angle $\theta$ above the horizontal, then it can be divided into rectangular components as,

The component acting along the horizontal is, $F_1=F\cos \theta$

The component acting perpendicular to the horizontal in an upward direction, $F_2=F\sin \theta$

Calculation:

Now, it is given that the force is acting the guy wire that makes an angle of $67°$ above the horizontal.

Then, the component acting along the horizontal is,

  $F_h=F\cos 67°=0.39F$

And, the component acting along the vertical is,

  $F_v=F\sin 67°=0.92F$

Conclusion:

Thus, the perpendicular component of the force in the wire is larger.