A block of mass m is supported by a string passing through a smooth peg as shown in the figure; both segments make an angle θ with the horizontal top of the block. Variation of tension T in the string

Question

A block of mass m is supported by a string passing through a smooth peg as shown in the figure; both segments make an angle θ with the horizontal top of the block. Variation of tension T in the string as a function of θ is best represented by (here the total length of the string is varied):

TestHub · Accepted Answer

Vertical equilibrium gives 2 T sin θ = m g so T = 2 sin θ m g ​ . As θ decreases toward zero T grows without bound; as θ approaches 90 ∘ , T falls to 2 m g ​ . The curve starts high and decays toward 2 m g ​ - graph (B).

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