A stone of mass (m) is attached to one end of a small wire of length (l) and cross-sectional area (A) suspended vertically. The stone is now rotated in horizontal plane such that the wire makes an angle .theta. with vertical. Find the increase in length of wire if its Young.smodulus is Y.

A stone of mass (m) is attached to one end of a small wire of length (

1.	A stone of mass (m) is attached to one end of a small wire of length (l) and cross-sectional area (A) suspended vertically. The stone is now rotated in horizontal plane such that the wire makes an angle .theta. with vertical. Find the increase in length of wire if its Young.smodulus is Y.
Answer» Solution : From fig. `Tcos theta =MG RARR T=(mg)/(cos theta)` `T SIN theta=m R omega^(2)` `e=(Fl)/(AY)=(Tl)/(AY)` `e=(mgl)/(AY cos theta)` If .`theta`. was not GIVEN but R, w and m was given then in such case `T^(2)cos^(2)theta+T^(2)sin^(2)theta=(mg)^(2)+(mRw^(2))^(2)` `T=sqrt((mg)^(2)+(mRw^(2))^(2)) " and usee"=(Tl)/(Ay)`