# Solve Statics Problems The weight of the sign is equal to the sum of the upward components of the tension in the two cables.Thus, a trigonometric function can be used to determine this vertical component. Since each cable pulls upwards with a force of 25 N, the total upward pull of the sign is 50 N. The idea is that the tension, the angle, and the weight are related.The diagram below shows vectors A, B, and C and their respective components.

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The leftward pull of cable A must balance the rightward pull of cable B and the sum of the upward pull of cable A and cable B must balance the weight of the sign.

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.

This extends from Newton's first law of motion. A common physics lab is to hang an object by two or more strings and to measure the forces that are exerted at angles upon the object to support its weight.

But having an acceleration of 0 m/s/s does not mean the object is at rest. The state of the object is analyzed in terms of the forces acting upon the object.

The picture is in a state of equilibrium, and thus all the forces acting upon the picture must be balanced.

That is, all horizontal components must add to 0 Newton and all vertical components must add to 0 Newton.

The most common application involves the analysis of the forces acting upon a sign that is at rest.

For example, consider the picture at the right that hangs on a wall.

If the sign is known to have a mass of 5 kg and if the angle between the two cables is 100 degrees, then the tension in the cable can be determined.

Assuming that the sign is at equilibrium (a good assumption if it is remaining at rest), the two cables must supply enough upward force to balance the downward force of gravity.

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