A block weighing w newtons is suspended from a horizontal support by two wires. The first wire extends up and to the left from the block, making a 41 degree angle with the horizontal support. A vector extending from the block along the first wire is labeled F 1. The second wire extends up and to the right from the block, making a 31 degree angle with the horizontal support. A vector extending from the block along the second wire is labeled F 2
What is the weight, w?
What is the magnitude of F1?
See the diagram below:
The forces F1 and F2 are resolved into vertical and horizontal components as shown in the diagram.
Balancing the forces along horizontal:
Balancing the forces along the vertical:
Answer: The weight W is
.
Answer: the magnitude of F1 is
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