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). ATTACH ...continues

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 wa ...continues

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 ...continues

Calculating the derivatives of wave equations to determine the direction of travel.

The equation for a wave moving along a straight wire is: (1) y= 0.5 sin (6 x - 4t) To look at the motion of the crest, let y = ym= 0.5 m, thus obtaining an equation with only two variables, namely x and t. a. For y= 0.5, solve for x to get (2) x(t) then take a (partial) derivative of x(t) to get the rate of change of ...continues

A Standing wave is the sum of two given waves on a wire. Write its equation.

A certain wave and its reflection simultaneously travel along a wire. The two waves are: y1= .15 sin (5x - 3 Pi t) and y2= .15 sin (5x + 3 Pi t). When they combine, they form a standing wave. PART a. Write the equation of the standing wave produced on the wire. PART b. Calculate the distance between two adjacent nodes on ...continues

Given the wave speed, and the graph y(t) at location x, of a traveling wave, write y(x,t) with numbers for the constants.

A wave travels along a wire at 5 m/sec toward +x. SEE ATTACHMENT #1 for a diagram showing y and t axis system with scale values. PART a. Using information shown on the diagram, write y(x,t) in terms of k and (omega), with numbers for the constants. PART b. When t= 3 sec, and at x= 7 m, find y. PART c. At location x= 2.8 ...continues

A standing wave is set up in a guitar string. Find the first harmonic frequency. Then for a new frequency find new string tension and length.

A guitar string is .64 m long and has a linear density of .0004 kg/m. The tension is set at 55 newtons. SEE ATTACHMENT #1 for the general form of the equation of standing waves. PART a. Find the frequency of the first harmonic, the fundamental note emitted. PART b. Find the tension force required for the string to emit a f ...continues

Centre of mass

The figure shows a symmetric trapezoidal plate with a base of '2L'. The height and the top are each of length 'L' and the plate is of uniform density. Find the centre of mass of the trapezoid. P.S i have not included figure as scanner not working assuming know what it should look like. A rectangle with two triangles stuck on ea ...continues