A horizontal wire is held taut by a mass M hanging from its end over a pulley. A harmonic wave of wavelength is produced on the wire by a 52 Hertz vibration. If the mass of the density of the wire is 8.0 x 10^-3 kg/m, what is M?
λ=v/f
v=λ•f
T=m₀•v² = m₀• (λ•f)²,
T=M•g,
m₀• (λ•f)²=Mg,
M= m₀• (λf)²/g =
=8•10⁻³(1.8•52)²/9.8 =7.15 kg