HANGING GUITAR MOUNTS
physics question help?
1.A guitar string of length L = 0.86m and mass per unit length μ = 1.2 g/m is mounted to the wall and extended over a pulley with a mass hanging. The frequency of its first harmonic mode of oscillation is 500Hz.
a.What is the wave speed of the string?
b.How large must mass, M, hanging over the pulley be?
c.Suppose the amplitude of the oscillatory motion is 1.00cm at the center of the string (an antinode). What is the maximum transverse speed of the string at that point?
a. F= n (v/(2L)) is resonance frequency formula in nth mode.
n=1 in this case so F2L = v
b. v = sqrt (t/u) so v^2(u) = t t=mg m=t/g
c. Sorry, i can’t help you here. All i can tell you is that Xm = .5cm and that comes into play somewhere.
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