One end of a nylon rope is tied to a brick wall. The rope is stretched horizontally, passed over a pulley 80 meters away, and weighted with a mass 180.0 kg at the end. Waves on the rope are measured, and found to travel at 150 m/s. What is the mass of the rope between wall and pulley? If the rope is shaken sideways at 24.0 Hz, what is the wavelength of the waves produced?

Mass of the rope m = 6.272 kg

Wavelength is equal to 6.25 m      

Explanation:

Length of pulley L = 180 M

Mass at the end of pulley m = 180 kg

Frequency is given f = 24 Hz

Acceleration due to gravity

Tension

Velocity of wave in the rope v = 150 m/sec

Velocity of wave is given by

Therefore mass of the rope

Wavelength is equal to

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

96.77 amp

explanation:

rl = 250/100 = 2.5 ohms.

egl = 250 + (100 × 0.1) + 2 = 262 v.

at 700 r.p.m., eg2 = 262 × 700/1000 = 183.4 v.

if ia is the new current, then eg2 - 2 - (ia × 0.1) = 2.5 ia

which means this will give ia = 96.77 amp.