For the arrangement shown below, the inclined plane and the small pulley are frictionless; the string supports the object of mass M at the bottom of the plane; and the string has mass m. The system is in equilibrium, and the vertical part of the string has a length h. We wish to study standing waves set up on the vertical section of the string. h M. (a) What analysis model describes the object of mass M? O particle under constant acceleration model O nonisolated system model rigid object in equilibrium model waves under boundary conditions model O particle in simple harmonic motion model (b) What analysis model describes the waves on the vertical part of the string? O particle in simple harmonic motion model O particle under constant acceleration model waves under boundary conditions model O waves in interference model O rigid object in equilibrium model (c) Find the tension in the string. (Use any variable or symbol stated above along with the following as necessary: g.) T = (d) Model the shape of the string as one leg and the hypotenuse of a right triangle. Find the whole length of the string. (Use any variable or symbol stated above along with the following as necessary: g.) L = (e) Find the mass per unit length of the string. (Use any variable or symbol stated above along with the following as necessary: g.) O O O O O

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For the arrangement shown below, the inclined plane and the small pulley are frictionless; the string supports the object of mass
M at the bottom of the plane; and the string has mass m. The system is in equilibrium, and the vertical part of the string has a
length h. We wish to study standing waves set up on the vertical section of the string.
h
M
(a) What analysis model describes the object of mass M?
particle under constant acceleration model
nonisolated system model
rigid object in equilibrium model
waves under boundary conditions model
particle in simple harmonic motion model
(b) What analysis model describes the waves on the vertical part of the string?
particle in simple harmonic motion model
O particle under constant acceleration model
waves under boundary conditions model
O waves in interference model
O rigid object in equilibrium model
(c) Find the tension in the string. (Use any variable or symbol stated above along with the following as necessary: g.)
T =
(d) Model the shape of the string as one leg and the hypotenuse of a right triangle. Find the whole length of the string.
(Use any variable or symbol stated above along with the following as necessary: g.)
L =
(e) Find the mass per unit length of the string. (Use any variable or symbol stated above along with the following as
necessary: g.)
(f) Find the speed of waves on the string. (Use any variable or symbol
above along with the following as necessary:
g.)
V =
(g) Find the lowest frequency for a standing wave on the vertical section of the string. (Use any variable or symbol stated
above along with the following as necessary: g.)
f =
(h) Evaluate this result for M = 1.58 kg, m = 0.760 g, h = 0.430 m, and 0 = 31.0°.
Hz
(i) Find the numerical value for the lowest frequency for a standing wave on the sloped section of the string.
Hz
O O O
Transcribed Image Text:For the arrangement shown below, the inclined plane and the small pulley are frictionless; the string supports the object of mass M at the bottom of the plane; and the string has mass m. The system is in equilibrium, and the vertical part of the string has a length h. We wish to study standing waves set up on the vertical section of the string. h M (a) What analysis model describes the object of mass M? particle under constant acceleration model nonisolated system model rigid object in equilibrium model waves under boundary conditions model particle in simple harmonic motion model (b) What analysis model describes the waves on the vertical part of the string? particle in simple harmonic motion model O particle under constant acceleration model waves under boundary conditions model O waves in interference model O rigid object in equilibrium model (c) Find the tension in the string. (Use any variable or symbol stated above along with the following as necessary: g.) T = (d) Model the shape of the string as one leg and the hypotenuse of a right triangle. Find the whole length of the string. (Use any variable or symbol stated above along with the following as necessary: g.) L = (e) Find the mass per unit length of the string. (Use any variable or symbol stated above along with the following as necessary: g.) (f) Find the speed of waves on the string. (Use any variable or symbol above along with the following as necessary: g.) V = (g) Find the lowest frequency for a standing wave on the vertical section of the string. (Use any variable or symbol stated above along with the following as necessary: g.) f = (h) Evaluate this result for M = 1.58 kg, m = 0.760 g, h = 0.430 m, and 0 = 31.0°. Hz (i) Find the numerical value for the lowest frequency for a standing wave on the sloped section of the string. Hz O O O
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