Two nails are hammered into the wall at the same height off the ground and with a horizontal separation of d = 13 cm. A loop of string (mass density 4.0 g/m) is hung around the nails so that the nails are inside the loop. Then a mass m = 1.9 kg is hung from the bottom segment of string, and as a result the string forms a taut equilateral triangle. (As- sume that the nails behave like frictionless pulleys, and we may model the tension as being the same everywhere in the loop of string.) If the top segment of string were lightly plucked, what fundamental frequency f would be heard? For the limit check, investigate what happens to f if the hanging mass grows large (m → ∞). -

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
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Two nails are hammered into the wall at the same height off
13 cm.
the ground and with a horizontal separation of d
A loop of string (mass density μ = 4.0 g/m) is hung around
the nails so that the nails are inside the loop. Then a mass
m = 1.9 kg is hung from the bottom segment of string, and
as a result the string forms a taut equilateral triangle. (As-
sume that the nails behave like frictionless pulleys, and we may
model the tension as being the same everywhere in the loop of
string.) If the top segment of string were lightly plucked, what
fundamental frequency f would be heard? For the limit check,
investigate what happens to f if the hanging mass grows large
(m → ∞).
Transcribed Image Text:Two nails are hammered into the wall at the same height off 13 cm. the ground and with a horizontal separation of d A loop of string (mass density μ = 4.0 g/m) is hung around the nails so that the nails are inside the loop. Then a mass m = 1.9 kg is hung from the bottom segment of string, and as a result the string forms a taut equilateral triangle. (As- sume that the nails behave like frictionless pulleys, and we may model the tension as being the same everywhere in the loop of string.) If the top segment of string were lightly plucked, what fundamental frequency f would be heard? For the limit check, investigate what happens to f if the hanging mass grows large (m → ∞).
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