Math Challenges

Submissions for Problem #5

Problem #5

A 600 lb weight is suspended by two chains, each making an angle of 30 degrees with the horizontal. What is the magnitude of the force that each chain withstands?

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zapwai

Solution: \( \displaylines{\sin\left(30\right)=\frac{\left|F_{y}\right|}{\left|F\right|}\Rightarrow\\ \left|F\right|=\frac{\left|F_{y}|\right.}{\sin\left(30\right)}\\ \left|F\right|=\frac{300}{\frac12}=600\text{ lb}} \)