Solving Statics Questions with Different Units

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The discussion focuses on solving statics problems involving different units for force and length. The user is attempting to calculate the height (h) using force components but encounters a potential math error. Suggestions include simplifying the approach by drawing free body diagrams for both the collar and the weight, and considering the tension in the cable. Additionally, trigonometric relationships can be utilized, such as expressing tan(A) in terms of known values. Properly breaking down the problem is essential for finding the correct solution.
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The units are different.
One is the force unit, and one is the length unit.
Then how to find the h?

Question is attached in the file

thanks
 

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Please provide your best attempt so far - that way we can give you the help you personally need.
 
I intend to find the all forces and then find the length through the force quantity.
I will find the forces component firstly. x-component=150cosθ N (h cm), y-component=150sinθ N (40cm)
150cosθ N= 170N <----but it is math error or no solution

Then I can't find, help please.
 
... you tried to do too many steps at once.
Start by drawing free body diagrams for the collar and the weight - separately.
Don't forget the tension in the cable.

If the angle between the rod and the cable (off the collar) is A, then you can express the trig functions in terms of things you know: eg. tan(A)=40/h.
 

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