3.6 Two waves on one string are described by the wave functions Y₁ = 3.5 cos(5.0x - 1.5t) Y2 = 3.0 sin(6.0x - 1.0t), where x and y are in centimeters and t is in seconds. Find the values of the waves y₁ + y₂ at the following points. (Remember that the arguments of the trigonometric functions are in radians.) (a) x = 1.00, t = 1.00 cm (b)x= 1.00, t = 0.500 cm (c) x = 0.500, t = 0 cm

Principles of Physics: A Calculus-Based Text
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Chapter14: Superposition And Standing Waves
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3.6
Two waves on one string are described by the wave functions
Y₁ = 3.5 cos(5.0x - 1.5t)
Y₂ = 3.0 sin(6.0x - 1.0t),
where x and y are in centimeters and t is in seconds. Find the values of the waves y₁ + y₂ at the following points.
(Remember that the arguments of the trigonometric functions are in radians.)
(a) x 1.00, t = 1.00
cm
(b) x = 1.00, t = 0.500
cm
(c) x = 0.500, t = 0
cm
Transcribed Image Text:3.6 Two waves on one string are described by the wave functions Y₁ = 3.5 cos(5.0x - 1.5t) Y₂ = 3.0 sin(6.0x - 1.0t), where x and y are in centimeters and t is in seconds. Find the values of the waves y₁ + y₂ at the following points. (Remember that the arguments of the trigonometric functions are in radians.) (a) x 1.00, t = 1.00 cm (b) x = 1.00, t = 0.500 cm (c) x = 0.500, t = 0 cm
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