A mild steel wire of length 1.0 m and cross-sectional area 0.50 × 10–2 cm2 is stretched, well within its elastic limit, horizontally between two pillars. A mass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the midpoint. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-9 Mechanical properties of Solids



Q.19:- A mild steel wire of length 1.0 m and cross-sectional area 0.50 × 10–2 cm2 is stretched, well within its elastic limit, horizontally between two pillars. A mass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the midpoint.

 

 

Answer:-

From the above figure,
Let x be the depression at the mid point i.e. CD = x.
In fig.,
AC= CB = l = 0.5 m ;
m = 100 g = 0.100 Kg
AD= BD = (l2 + x2)1/2

Increase in length, ∆l = AD + DB – AB = 2AD – AB