*A sketch of this situation (see diagram below) reveals that the tension in the cable can be found using the sine function.The triangle below illustrates these relationships. There is an important principle that emanates from some of the trigonometric calculations performed above.*

*A sketch of this situation (see diagram below) reveals that the tension in the cable can be found using the sine function.The triangle below illustrates these relationships. There is an important principle that emanates from some of the trigonometric calculations performed above.*

Suppose the tension in both of the cables is measured to be 50 N and that the angle that each cable makes with the horizontal is known to be 30 degrees. This question can be answered by conducting a force analysis using trigonometric functions.

Use this information and the diagram below to determine the tension in the wire for each orientation.

When finished, click the button to view the answers.

Another way of determining the net force (vector sum of all the forces) involves using the trigonometric functions to resolve each force into its horizontal and vertical components.

Once the components are known, they can be compared to see if the vertical forces are balanced and if the horizontal forces are balanced.

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