Question

A piece of string 2 meters and has a mass of 5g. On one end of the string hangs a 200 g mass. Find the tension of the string and compute for the velocity of the speed of the wave generated. What is the mass constant in the string? (Answer: T=1.96N; U = 2.5 x10 3kg/m; v = 28 m/s)

Answer 1

Explanation:

It is given that,

Length of the string, l = 2 m

Mass of the string, $m=5\ g=5\times 10^{-3}\ kg$

Hanged mass in the string, $m'=200\ g=0.2\ kg$

1. The tension in the string is given by :

$T=m'g$

$T=0.2\times 9.8$

T = 1.96 N

2. Velocity of the transverse wave in the string is given by :

$v=\sqrt{\dfrac{T}{M}}$

m = M/l

$v=\sqrt{\dfrac{Tl}{m}}$

$v=\sqrt{\dfrac{1.96\times 2}{5\times 10^{-3}}}$

v = 28 m/s

Hence, this is the required solution.