Answered: A stretched string tied at both ends is… | bartleby

Related questions

Question

A stretched string tied at both ends is oscillating in its second harmonic. The string’s shape is described by the equation:

y(x,t)=0.1⋅sin⎡5rad/m ⋅x⎤⋅sin⎡50rad/s⋅t⎤

where the origin is at the left end of the string,

the x-axis is along the (non-oscillating) string, and the y-axis is

perpendicular to the string. Find the length of the string.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A string oscillates according to the equation y (0.103 cm) sin[(n/3.0 cm-1)x] cos[(27.7 n s)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.04 cm when t = 1.07 s? (a) Number Units *1 (b) Number Units *2 (c) Number Units *3 (d) Number Units
A long rope with a mass per length of 0.49 kg/m is stretched horizontally with a tension of 350 N. The rope oscillates transversely in simple harmonic motion with a frequency f = 665 Hz and an amplitude of A = 0.037 m. At t = 0, the left end of the cord has a downward displacement of D(0, 0) = -0.012 m and is falling. Let the general displacement function of the wave be Dlx, t) = Asin(kx - wt + ) as the wave travels in the positive x direction. Determine the a. speed, b. wave number, c. angular frequency, d. phase angle, and e. displacement function for the traveling wave.
One end of a horizontal string is attached to a small- amplitude mechanical 60.0-Hz oscillator. The string's mass per unit length is 3.2 x10-4kg/m. The string passes over a pulley, a distance l = 1.50 m away, and weights are hung from this end. Assume the string at the oscillator is a node, which is nearly true. (Figure 1) Figure Oscillator -1.50 m 1 of 1 m What mass m must be hung from this end of the string to produce one loop of a standing wave? Express your answer to two significant figures and include the appropriate units. m1 = Submit Part B m2 = μA Value O Request Answer What mass m must be hung from this end of the string to produce two loops of a standing wave? Express your answer to two significant figures and include the appropriate units. μA Units Value ? Units ?
Some people feel motion sickness with an acceleration of 2% g where g= 9.8 m/s2 is gravity. A boat rides on water wave and has a maximum acceleration of 2% g. The time interval of the wave is 25 second. Find the wave amplitude is cm.
A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm-1)x] cos[(45.2 n s1)t). What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.20 cm when t = 1.06 s? (a) Number Units [ cm (b) Numbet226 Units cm/s (c) Numbet Units cm (d) Number Units
The air pressure variations in a sound wave cause the eardrum to vibrate. A) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz. m/s B) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz.in m/s^2 C) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. in m/s D) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. m/s^2
A string on a musical instrument is held under tension T and extends from the point x = 0 to the point x = L. The string is overwound with wire in such a way that its mass per unit length μ(x) increases uniformly from μ0 at x = 0 to μLat x = L. (a) Find an expression for μ(x) as a function of x over the range 0 ≤ x ≤ L. (b) Find an expression for the time interval required for a transverse pulse to travel the length of the string.
A helicopter accelerates upward with a cable of mass 6.6 kg and length 15.5 m attached to a mass of 150 kg hanging vertically below it. If a transverse pulse initiated by wobbling of the mass takes 0.231 seconds to travel the length of the cable, what is the upward acceleration of the helicopter in m/s?? Since the mass of the cable is small compared to the hanging mass, make the approximation that the tension is uniform. Use g = 9.8 m/s2.
Harmonic, sinusiodal wave propagates through a string with speed v and frequency f. At a given instant of time, two points on the string have a phase difference of π/8 rad. Calculate the distance between those two point
A string of mass 16.6 grams and length 0.74 meters and fixed at the ends is under tension 243 N. What is the vibrational frequency of n= 4 harmonic?
A simple pendulum consists of a ball of mass 5.00 kg hanging from a uniform string of mass 0.060 0 kg and length L If the period of oscillation of the pendulum is 2.00 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically.
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 77 degrees occurs at 5 PM and the average temperature for the day is 65 degrees. Find the temperature, to the nearest degree, at 9 AM.

SEE MORE QUESTIONS