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Two waves are traveling simultaneously down a long Slinky. They can be represented by the following...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the two equations yı (x, t) = (3.41 cm) sin(kıx + (0.173 rad/s)t +0.) y2 (x, t) = (4.28 cm) sin(k2x – (5.20 rad/s)t + 02) If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Ay that a point on the string can ever have? Ay= 7.69 What are the...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations: y'(xd-13.41 enn) sin(4,x+ (0.348 rad /s),+%) y,(x,1)-(4.53 cm) sink,x-(5.07 rad /s)1+ф If both of the above traveling waves exist on the string at the same time, what is the maximum positive displacement that a point on the string can ever have? Number cm What are the smalest positive values of the unknown phase constants (in radians) such...
Two traveling waves on same string with equations: (@ - phase constant) y1(x,t) = (3.41cm) sin(k1x...
Two traveling waves on same string with equations: (@ - phase constant) y1(x,t) = (3.41cm) sin(k1x + (.208 rad/s)t + @1) y2(x,t) = (3.78cm) sin(k2x - (8.26 rad/s)t +@2) What are the smallest positive values of the unknown phase constants such that the max displacement occurs at x=0, t=2.01? (max displacement = 7.19) Please explain answer for @2
Two waves are traveling in opposite directions on the same string. The displacements caused by the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by yi (27.0 mm)sin(7.35nt 1.95nx) and y2 (34.0 mm)sin(2.88nt+0.488nx). Note that the phase angles (7.35nt 1.95nx) and (2.88nt+0.488nx) are in radians, t is in seconds, and x is in meters. At t = 3.10 s, what is the net displacement (in mm) of the string at (a) x- 2.26 m and (b) x- 2.67 m? Be sure to include the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(25.0 mm)sin(8.50πt - 1.24πx) and y2=(38.0 mm)sin(3.43πt + 0.267πx). Note that the phase angles (8.50πt - 1.24πx) and (3.43πt + 0.267πx) are in radians, t is in seconds, and x is in meters. At t = 5.80 s, what is the net displacement (in mm) of the string at (a) x = 2.02 m and (b) x = 2.85...
Two waves are traveling in opposite directions on the same string. The displacements caused by the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(22.0 mm)sin(9.86πt - 1.52πx) and y2=(36.0 mm)sin(2.53πt + 0.330πx). Note that the phase angles (9.86πt - 1.52πx) and (2.53πt + 0.330πx) are in radians, t is in seconds, and x is in meters. At t = 3.20 s, what is the net displacement (in mm) of the string at (a) x = 2.31 m and (b) x = 2.93...
7.1 When there are two traveling waves of the same wavelength and frequency (hence the same...
7.1 When there are two traveling waves of the same wavelength and frequency (hence the same velocity) in phase: fA (x, t) A sin(kx- ot) fs (x, t) B sin(kx ot) then it's clear that the actual wave you observe is fa B fA (x, t)+ fs (x, t (A B) sin(kx-ot) due to superposition principle. Namely, you observe the same wave form, except now the amplitude is A+ B. Now consider there are two waves of the same wavelength...
A standing wave results from the sum of two transverse traveling waves given by y1 =...
A standing wave results from the sum of two transverse traveling waves given by y1 = ymcos(kx - ωt) and y2 = ymcos(kx + ωt) where ym = 0.047 m, k = 3.2 rad/m, and ω = 12 rad/s. (a) What is the smallest positive value of x that corresponds to a node? Beginning at t = 0, what is the value of the (b) first, (c) second, and (d) third time the particle at x = 0 has zero...
A standing wave results from the sum of two transverse traveling waves given by y1 =...
A standing wave results from the sum of two transverse traveling waves given by y1 = ymcos(kx - ωt) and y2 = ymcos(kx + ωt) where ym = 0.057 m, k = 4.4 rad/m, and ω = 13 rad/s. (a) What is the smallest positive value of x that corresponds to a node? Beginning at t = 0, what is the value of the (b) first, (c) second, and (d) third time the particle at x = 0 has zero...
1. Two waves are traveling along a rope. The individual waves are de- scribed by hi(t, x) = h2(t, x) = 0.3 cos(8x –...
1. Two waves are traveling along a rope. The individual waves are de- scribed by hi(t, x) = h2(t, x) = 0.3 cos(8x – 4t) 0.3 cos(7.6x - 3.8t) (a) Write the superposition hi + h, in the form h(t, x) = Acos (į Aku - Awt) cos (Kx – wt) (b) What is the amplitude A of the combined wave? (c) What is the phase velocity of the combined wave? (d) What is the group velocity All of the...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the two equations yı (x, t) = (3.41 cm) sin(kıx + (0.173 rad/s)t +0.) y2 (x, t) = (4.28 cm) sin(k2x – (5.20 rad/s)t + 02) If both of the traveling waves exist on the string at the same time, what is the maximum positive displacement Ay that a point on the string can ever have? Ay= 7.69 What are the...
Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations: y'(xd-13.41 enn) sin(4,x+ (0.348 rad /s),+%) y,(x,1)-(4.53 cm) sink,x-(5.07 rad /s)1+ф If both of the above traveling waves exist on the string at the same time, what is the maximum positive displacement that a point on the string can ever have? Number cm What are the smalest positive values of the unknown phase constants (in radians) such...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by yi (27.0 mm)sin(7.35nt 1.95nx) and y2 (34.0 mm)sin(2.88nt+0.488nx). Note that the phase angles (7.35nt 1.95nx) and (2.88nt+0.488nx) are in radians, t is in seconds, and x is in meters. At t = 3.10 s, what is the net displacement (in mm) of the string at (a) x- 2.26 m and (b) x- 2.67 m? Be sure to include the...
7.1 When there are two traveling waves of the same wavelength and frequency (hence the same velocity) in phase: fA (x, t) A sin(kx- ot) fs (x, t) B sin(kx ot) then it's clear that the actual wave you observe is fa B fA (x, t)+ fs (x, t (A B) sin(kx-ot) due to superposition principle. Namely, you observe the same wave form, except now the amplitude is A+ B. Now consider there are two waves of the same wavelength...
1. Two waves are traveling along a rope. The individual waves are de- scribed by hi(t, x) = h2(t, x) = 0.3 cos(8x – 4t) 0.3 cos(7.6x - 3.8t) (a) Write the superposition hi + h, in the form h(t, x) = Acos (į Aku - Awt) cos (Kx – wt) (b) What is the amplitude A of the combined wave? (c) What is the phase velocity of the combined wave? (d) What is the group velocity All of the...
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