(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

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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
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
particle under constant acceleration model
waves under boundary conditions model
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= Mg sin (0)
(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.)
sin(0) +1
sin (0)
L =h
(e) Find the mass per unit length of the string. (Use any variable or symbol stated above along with the following as
necessary: g.)
m sin(0)
h
(sin(0) +1)
(f) Find the speed of waves on the string. (Use any variable or symbol stated above along with the following as necessary:
g.)
M·g h
1+ sin(0))
V =
m
(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.)
M.g
V 4.h.m
(1+ sin(0))
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
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 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 particle under constant acceleration model waves under boundary conditions model 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= Mg sin (0) (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.) sin(0) +1 sin (0) L =h (e) Find the mass per unit length of the string. (Use any variable or symbol stated above along with the following as necessary: g.) m sin(0) h (sin(0) +1) (f) Find the speed of waves on the string. (Use any variable or symbol stated above along with the following as necessary: g.) M·g h 1+ sin(0)) V = m (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.) M.g V 4.h.m (1+ sin(0)) 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
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