Two blocks each having a mass of 3.2 kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB . The linear mass density of the wire AB is `10 gm^-1` and that of CD is `8 g m^-1.` Find the speed of a transverse wave pulse produced in AB and in CD.

Explanation

Let the tensionin wire AB and CD be `T_(1)` and `T_(2)` `T_(1)` and `T_(2)` can be calculated as follows :
It is obvious from free body diagram that `T_(1)=T_(2)+mg`.....`(1)`

`T_(2)=mg`......`(2)`
`impliesT_(1)=mg+mg`
`T_(1)=2mg=2xx3.2xx9.8N`
`T_(1)=62.72N`, `T_(2)=31.36N`
Velocityof wave in wire AB is

`V_(1)=sqrt((T_(1))/(m_(1)))=dqrt((62.72)/(10xx10^(-3)))V_(1)=79m//s`
Veocity of wave in wire CD is
`V_(2)=sqrt((T_(2))/(m_(2)))=sqrt((31.36)/(8xx10^(-3)))V_(2)=62.6m//s`.