A wave is passing through a string. What is the instantaneous
displacement velocity of a point on the string at x =
2m, t = 3s, if the displacement position of a point on the string
is given by D(x, t) = (1m) cos (5m^-1)x − (6s^-1)t + 7?
A wave is passing through a string. What is the instantaneous displacement velocity of a point...
A wave is passing through a string. If the displacement position of a point on the string is given by D(x, t) = (4m) sin((2m^−1 )x + (6s^−1 )t − 9), what is the instantaneous displacement acceleration of a point on the string at x = 2m, t = 3s? (a) −1.7 m s 2 (b) +1.7 m s 2 (c) +10 m s 2 (d) −32 m s 2 (e) −61 m s 2
show steps please! (1 point) u(x, t represents the vertical displacement of a string of length L = 20 with wave equation 16. time t = Utt at position x along the string and at Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position is held at a vertical displacement of 1 and released b. the initial velocity is a constant -5 and the vertical displacement is 0 c. the initial velocity...
u(x, t) represents the vertical displacement of a string of length L = 16 with wave equation 25uxx = uft at position x along the string and at time t Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position b. the initial velocity is a constant 5 and the vertical displacement is 0. c. the initial velocity is a constant 5 and the rightmost position is held at a vertical displacement of...
5. Imagine a string that is fixed at both ends (e.g. a guitar string). When plucked, the string forms a standing wave. The vertical displacement u of the string varies with position r and time t. Suppose u(x,t) = 2 sin(nx) sin(mt/2), for 0 x 1 and t 0. Convince yourself of the following: If we freeze the string in time, it will form a sine curve. Alternatively, if we instead focus on a single position, we will see the...
A simple harmonic oscillator at the position x=0 generates a wave on a string. The oscillator moves up and down at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time t = 0, the oscillator is passing through the origin and moving down. The string has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. A simple harmonic oscillator at the position x = 0 generates a wave...
The above figure shows height vs. displacement plot for a string which has a wave traveling to in the positive x direction at time t=2.9 sec with a velocity of 30 m/sec. 1) What is the amplitude of this wave? 2) What is the wavelength of this wave? 3) What is the frequency of this wave? 4) What is the vertical (y) velocity of a piece of string at the point labeled 1? (Ans cm/ sec) 5) What is the...
1. A sinusoidal sound wave moves through a medium and W is described by the displacement wave function s(x, t) = 2.00 cos (15.7x - 858t) where sis in micrometers, x is in meters, and tis in sec- onds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instanta- neous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at 1 = 3.00 ms....
1. A sinusoidal sound wave moves through a medium and W is described by the displacement wave function s(x, t) = 2.00 cos (15.7x – 8581) where sis in micrometers, x is in meters, and tis in sec- onds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instanta- neous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at 1 = 3.00 ms....
Q1) The following equation describes a transverse wave on a string: The displacement y of a particle from its equilibrium position is given by: y 0.02 1sin (2.0x-2. 5t) Note: the phase angle is in radians, t is in seconds, x and y are in meters. Determine: a) b) c) d) The amplitude of the wave The frequency of the wave The wavelength of the wave The speed of the wave
A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y = (0.021 m) sin(25t - 2.0x). Note that the phase angle 25t - 2.0x is in radians, t is in seconds, and x is in meters. The linear density of the string is 2.4 x 10-2 kg/m. What is the tension in the string? F=