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Aug 21, 2015 at 8:12 comment added J132 Thanks for the reply. Yes, I thought that the radius was needed. There is a similar question that I have seen that gives the radius of the hoop as 0.5m and a mass of 2Kg and an angle of 30 degrees ($F$=2x9.8xsin30x0.5=$4.9N$), although that is for a rough peg and the tension $F$ is measured from the diameter of the hoop (opposite the peg), i.e. perpendicular to the diameter of the hoop. With the problem we are considering, $F$ is measured from the base of the hoop, exactly as the diagram shows. The answer is given as $7.28N$.
Aug 20, 2015 at 17:17 history edited Gert CC BY-SA 3.0
Addition.
Aug 20, 2015 at 16:45 history edited Gert CC BY-SA 3.0
Minor typo corrected.
Aug 20, 2015 at 16:37 history answered Gert CC BY-SA 3.0