The displacement of a string carrying a traveling wave is described by [in S1 un

Question

The displacement of a string carrying a traveling wave is described by [in S1 units] y(, t) = 0.15 sin (pi/16 (2x - 64 t) + phi). When t = 0 he segment of string at x = 0 has zero displacement and is moving in the positive y direction. The phases constant phi is... a. 0 b. 90 degree c 135 degree d. 180 degree e 270 degree For the string wave of the preceding question, what is the maximum transverse speed of the particles that make up the string? 0.031 1.9 m/s c. 4.0 m/s d. 9.6 m/s e. 32 m/s A wave on a stretched string is reflected from a fixed end The reflected wave. a is not phase-shifted relative to the original wave. b. is phase-shifted by pi radians relative to the original wave c. has a larger amplitude than the original wave. d has a greater speed than the original wave, e. Is not a transverse wave A string tied to an oscillator at P and running over a support at Q, is stretched by a block of mass m For an oscillator frequency of 60 Hz. the string resonates as shown with L = 2 00 m (At resonance, the amplitude of the motion at P is small enough for that pant to be considered a node A node also exists at Q.) What is the value of m if the linear density of the string is 1.60 times 10^-3 kg/m?

Explanation / Answer

8) y(x,t) = 0.15 sin((pi/16)(2x -64t) +phi)

at x=0 , t =0

0 = sin(0 +phi)

phi = 0 degrees

correct option is (a)

9) v = Aw

v = 0.15*3.14*64/16

v = 1.9 m/s

correct option is (b)

10) correct option is (b)

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