Four forces act on bolt A as shown; F1 150N, F2 80N, F3 110N and F4 100N. Determine the magnitude and direction of the resultant of the forces of the bolt, A.

Complete Question

The  complete question(reference (chegg)) is shown on the first uploaded image

The magnitude of the resultant force is  

The  direction of the resultant force is   from the horizontal plane

Explanation:

Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be   while if the force is  moving away from the angle  then the resolved force is  

Now  from the diagram let resolve the forces to their horizontal component

    So

Now  resolving these force into their vertical component can be mathematically evaluated as

Now the resultant force is mathematically evaluated as

substituting values

The  direction of the resultant force is  evaluated as

substituting values

        from the horizontal plane

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