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let the angel made by string with verticle is @
normal reaction is perpendicular to wall and weight
tension is making angle of 90+@ with normal reaction and 180-@ with weight
now applying sune rule
w/sin(90+@) = T/sin90 = N/sin(180-@)
T=w/cos@..............1
now find cos@ in terms of L and R put put in eq 1
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