A string is wrapped round a log of wood and it is pulled with a force F as shown in the figure.Choose the correct statement(s). I Tension T in the string decreases with increase in $θ$ II Tension $T > F$ if $θ > π /3$

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Each of the two string segments makes angle $θ$ with the line of $F$ . Balancing forces at the point where $F$ acts: $2 T cos θ = F$ , so $T = \frac{F}{2 cos θ}$ .

As $θ$ increases, $cos θ$ decreases and $T$ increases, so statement I is false.

$T > F$ needs $cos θ < \frac{1}{2}$ , i.e. $θ > \frac{π}{3}$ , so statement II is true. Only II is true.

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