Mechanic questions

Just need numaric answer for these mechanic questions. see attached

A wave is generated and moves along a stretched wire. The equation of the wave equation is developed to give y(x,t) for the wave.

One end of a taut wire moved up and down with SHM generates a wave moving to the right along the wire. A 'primed' axis system, (x', y'), moving along with the wave, gives the x',y' coordinates of points on the wave as shown in ATTACHMENT #1. The wave's amplitude is ym', its velocity is v, and its wavelength is (lambda). ATTACHMENT #1 also shows a stationary axis system, x,y superimposed on the x',y' system. Any point on the wave has x,y coordinates and also x', y' coordinates. We wish to express the traveling wave in terms of x and y coordinates. PART a. Develop y as a function of x, and time t, in terms of its constants ym and angular frequency (omega), then SEE ATTACHMENT #2 to check... click for more

From the given numerical equation of a traveling wave, obtain information about the wave.

The general form of the equation y(x,t) of a traveling wave is: (1) y= ym sin (k x - w t) in which w is the angular frequency. A certain wave is expressed by: (2) y= 0.15 cos (40 x - 20 t) with distances in meters and times in seconds. a. Obtain the wave speed, wavelength, amplitude, period, and frequency of this wave. b. Find y when t= 0.21 sec, at x = 0.32 m.

Writing a wave equation given the constants amplitude, frequency and speed.

One end of a long brass wire is moved up and down with simple harmonic motion (SHM), with amplitude 0.08 m and a frequency of 45 cycles per second. The wave travels along the wire at a speed of 80 m/sec. Write the wave equation in terms of k and angular frequency w.

From a given numerical wave equation show intercepts for given time t and another for given location x.

A traveling wave on a wire is expressed by the equation: (1) y= .24 sin (11x - 16t). Distances are in meters, times in seconds. PART a. On a general sine curve that you see in ATTACHMENT #1, Show a properly located y axis for the graph of y(x) at t= .25 sec. Calculate and label the y intercept and three x intercepts. PART b. On another sine curve that you see in ATTACHMENT #1, Show a properly located y axis for the graph of y(t) at x= .35 m. Calculate and label the y intercept and three t intercepts.