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KEØM
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Homework Statement
The lever BCD is hinged at C and is attached to a control rod at B. Determine the maximum force [tex]\vec{P}[/tex] which can be safely applied at D
if the maximum allowable value of the reaction at C is 500 N.
Here is a picture of the problem. It is number 4.20.
"[URL title="download file from Jumala Files"]http://jumalafiles.info/showfile2-14173678132920785343298714637103960/problem420.pdf [/URL]
Homework Equations
[tex]\Sigma F_{x} = 0[/tex]
[tex]\Sigma F_{y} = 0[/tex]
[tex]\Sigma M_{C} = 0[/tex]
The Attempt at a Solution
I know I have two unknowns at pin C [tex]C_{x}, C_{y}[/tex] but I don't know either of their magnitudes. I have a tension in rod BA and I don't its magnitude and I also don't know the magnitude of [tex]\vec{P}.[/tex] I only have 3 equations to work with here but more than that of unknowns. Am I missing a relationship here or am I not making a correct assumption?
Thanks in advance,
KEØM
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