A bird with mass m parches at the middle of a strectched string Show that the tension in the string is give by `T=(mg)/(2sintheta).` Assuming that each half of the string is straight.

Explanation

Initial position of wire=AOB, Final position of wire=ACB Let `theta` be the angle made by wire with horizontal, which is very small. Resolving tesntion T of string in horizontal and vertical direction, we note that the horizontal components cancel while vertical componets add and balance the weight. For equilibrium `2T sin theta=W=mgrArr=(W)/(2sin theta)`