Finding magnitude and direction of reaction force

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SUMMARY

The discussion focuses on calculating the magnitude and direction of the reaction force at the hinge of a uniform horizontal rod with a mass of 4 kg and a length of 500 mm, supported by a chain located 10 cm from the hinge. The principle of moments is initially considered but deemed inappropriate due to the one-sided nature of the load. Instead, resolving the system into vector components is identified as the correct approach to determine the resultant force at the hinge. The static equilibrium condition is emphasized, indicating that any point can be used for moment calculations.

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Homework Statement


A uniform horizontal rod of mass 4 kg and length 500 mm, is hinged at the left hand side and supported at rest by a chain (S) attached 10 cm from the hinge.

upload_2017-4-17_21-41-54.png


Calculate the magnitude and direction of the reaction force on the rod at the hinge. State the principle you have used in solving this problem.

Homework Equations


upload_2017-4-17_21-40-25.png


The Attempt at a Solution


Initially I thought it was the principle of moments but it can't be as it's all one sided. Unless there's a moment from the top of the chain to R. It's probably resolving the system into two vector components and then finding the resultant from that but I'm not sure how.


I think that would be the right method?
 

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Day3091 said:
Initially I thought it was the principle of moments but it can't be as it's all one sided.
That would depend on the point about which you are taking moments. Since the situation is static, any point should do.

Suppose the hinge weren't there but the chain remained in place. About which point would the rod pivot?
 
The information on the virtual learning environment for my college says that all of the necessary information is in the statics and materials document. It doesn't specify anything to do with this particular example though, or perhaps I'm not able to discern what to take and apply from it. It's just talking about pin jointed systems and the likes :/

I'm really not that good at Engineering. ?:) Struggling with a lot of it.
 

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