We're asked for the tension in each of the wires supporting the bag of cement.
This is a 2D Equilibrium type of problem with multiple forces in different angles. As usual for equilibrium problems, we'll follow these steps:
In two dimensions, we use equilibrium equations in component form:
Anytime we're working with forces that aren't at 90° angles to each other, we'll also need some of the equations to convert magnitude-angle notation to components.
Components of a force:
A bag of cement weighing Fg = 325 N hangs in equilibrium from three wires as shown in the figure. Two of the wires make angles θ1 = 60.0° and θ2 = 40.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Equilibrium in 2D concept. You can view video lessons to learn Equilibrium in 2D. Or if you need more Equilibrium in 2D practice, you can also practice Equilibrium in 2D practice problems.
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Based on our data, we think this problem is relevant for Professor Chase's class at SJSU.