Show that a stretched wire cannot remain horizontal when a weight is suspended from its mid-point.

Show that a stretched wire cannot remain horizontal when a weight is s

1.	Show that a stretched wire cannot remain horizontal when a weight is suspended from its mid-point.
Answer» SOLUTION :Let the two ends A and Bof the wire be rigidly fixed anda weight W besuspended from the mid-point O. In this condition, the two parts of the string OA and OB make equal angles `THETA` with thehorizontal and the tension on eachpart is T [Fig.2.77]. For equilibrium, the vertical components of T on each wire together balance the weight W and the horizontal components balance each other. `therefore 2T sin theta =W or, sin theta =W/(2T)` Since, T cannot be infinitely large and `W NE 0`, `sintheta ne 0 i.e., theta ne 0^@` Hence, the wire cannot remain horizontal when a WEIGHTIS suspended from its mid-point (or from any otherpoint along its length).