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3. The vertical displacement of a string is given by the harmonic function: Y(x, t) =...
The vertical displacement y(x,t) of a string stretched along the horizontal x-axis is given by y(x,t) = (6.00 mm) sin[(3.25 rad/m) x - (7.22 rad/s)t]. First, determine the constant speed of this wave. Next, calculate the instantaneous speed of a particle of the string located at x = 1.25 m at the time of 10.00 s. Finally take the constant speed of the wave and divide by the instantaneous speed of the particle that you determined. Watch your units -...
1) The vertical displacement y(x,t) of a horizontal string aligned along the x-axis is given by the equation y(x,1) = (5.25 mm) cos((4.70 m-1)x - (14.1 s-1)]. What are the (a) speed, (b) period, and (c) wavelength of this wave?
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...
The displacement of a string of tension 20 N is given by: y(x,t)=0.04sin(270x - 607). Determine: the direction of the wave the wave velocity and frequency. the particle velocity at x = 1 m at time t=0 s. two possible locations where displacement is maximum for t = 0 s.
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...
The displacement of the particles of a string in a SHM ( simple Harmonic motion ) is a cosine function of time X = 0.04 Cos (376.8 t ) 0.04 is in meters. Find the following. You must write the symbol, and also unit for each quantity. a) Amplitude of the string particles b)) angular frequency, b) Frequency, c) Period d) Displacement of the vibrating particles of the string at t= 2 seconds e) Maximum velocity of the vibrating...
A particle's displacement from equilibrium is given by x(t) = 0.32cos(3.4t + ?/4), where x is in meters and t is in seconds. (a) Find the frequency f and period T of its motion. f = Hz T = s (b) Find an expression for the velocity of the particle as a function of time. (Use the following as necessary: t.) vx = m/s (c) What is its maximum speed? |vx max| = m/s
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right. Determine the wavelength, frequency, period, and phase constant of this waveform. y(x,t)= sin(0.333x + 3.38 + 801t)
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right Determine the wavelength, frequency, period, and phase constant of this waveform. ylrd-y.sin(369t+0.163x +5 Number meters Number Hertz Number T- seconds Number radians