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
A wave is passing through a string. If the displacement position of a point on the...
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?
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 displacement of a transverse traveling wave on a string under tension is described by: D(x, t) = (2.0 cm) .sin((12.57 rad/m)x + (638 rad/s)t + /2] The linear density of the string is 5.00 g/m. 1. What is the tension in the string? 2. What is the maximal speed of a point on the string? String 2 3. The original string (String 1) is tied to a second string with String 1 a linear density of 12 g/m, as...
The displacement of a transverse traveling wave on a string under tension is described by: D(x, t) = (2.0 cm) sin((12.57 rad/m)x+ (638 rad/s)t + T/2] The linear density of the string is 5.00 g/m. 1. What is the tension in the string? 2. What is the maximal speed of a point on the string? String 2 3. The original string (String 1) is tied to a second string with String 1 a linear density of 12 g/m, as shown...
The transverse displacement of a stretched string from equilibrium as a function of time and position is given by: y=0.13 cos(9 x + 45 t). x and y are in m; t is in s. The wavelength is ..... 1 m. The period is ..... 0.1 seconds. The wave travels in the negative x direction. The speed of the wave is ..... 6 m/s. A traveling wave can be any function of (2*pi*x/lamda-2*pi*t/period). Calculate the various parameters where needed then...
The graph in Figure 1 shows the displacement versus position for the wave at t = 1:0 s. The graph in Figure 2 shows the displacement versus time for the wave at x = 1:0 m. Determine the displacement equation D(x,t) and the velocity of the wave. SHOW WORK Plnti Plot: Figure 1: D(x) (m) vrs. r (m) Figure 2: D(t) (m) vrs. t (s) igure I: D(c) (m) vrs. m
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=
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. Question 2 9 pts Consider the piece of string at x...
A sinusoidal wave is traveling on a string with speed 28.0 cm/s. The displacement of the particles of the string at x = 8.3 cm is found to vary with time according to the equation y = (1.3 cm) sin[1.6 - (5.4 s-1)t]. The linear density of the string is 6.4 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t) = ym sin(kx - ωt), what are...