Question

A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass desity of `19.2xx10^-3 kgm^-1`. Find the speed (with respect to the string) with which a wave pulse can proceed on the string if the elavator accelerates up at the rate of `2.0ms^-2. Take g=10 ms^-2`.

Answer 1

As elevator accelerates up at `2 m//s^(2)`, tension in the string `T=m(g+a)=4(10+2)=48 N`.
Linear mass density of string is `mu=19.2xx10^(-3) kg//m` speed of transverse waves on string is
`v=sqrt(T)/(mu)`
`=sqrt(48)/(19.2xx10^(-3)=50 m//s`