Nitu

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thank you for posting, I am keeping an eye on it!

During the Clinical discussions we decided to close the anterior spacing in the mandible by mezialising the premolars. 

We were discussing about the fact that the force vector for this movement should have an oblique directon so it would pass through the CR . At home I draw some vectors on the OPG. The horisontal is the ideal force vector. There is one oblique vector that would be delivered if the CL would be ligated to the molar's tube and another vector generated by a CL ligated to an extension gingival. 
I measured the angle between the occlusal plane and the direction of the planned vector (the option with the extension in place) in order to find the horisontal and the vertical activation of the CL. The measure was 10 degrees. I assumed a force of 50 g was needed to move the premolars. I the used the sin/cos calculation and the results were 50 g horizontal force and 8 g vertical force. 
Questions 
- did I measure the angle correctly?
- is the thinking process correct?     

The theoretical thinking and planning are ok. Now, from a practical viewpoint, we must deal with all inaccuracies of our appliances. So, you try to give around 50g horizontal and about 10g vertical force components. Then you observe the outcome, if the molar tips mesial, you need to change the ratio in favor of the vertical component.

This is the first CL attempted. I realised it is not ok to insert it from the gingival in the vertical tube because because it should be ligated by pulling the end gingivally so it got out of the tube easily. It was also contacting the upper molar in occlusion. It was also not long enough considering the point where I wanted to ligate it.