You are testing a mountain climbing rope that has a linear

mass density of 0.0650 kg/m. The rope is held horizontal and is under

a tension of 8.00 * 10^2 N to simulate the stress of supporting a mountain

climber’s weight. (a) What is the speed of transverse waves on this

rope? (b) You oscillate one end of the rope up and down in SHM with

frequency 25.0 Hz and amplitude 5.00 mm. What is the wavelength of

the resulting waves on the rope? (c) At t = 0 the end you are oscillating

is at its maximum positive displacement and is instantaneously at

rest. Write an equation for the displacement as a function of time at a

point 2.50 m from that end. Assume that no wave bounces back from

the other end.

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Step 1Given data:The linear mass density is μ=0.0650 kg/m.The tension is T=8.00×102 N.The frequency is f=25.0 Hz.The amplitude is A=5.00 mm.The point is x=2.50 m.Part (a)The speed of transverse waves on this rope can be calculated as:v=Tμv=8×102 N×1 kg·m/s21 N0.0650 kg/mv=110.9 m/sThus, the speed of transverse waves on this rope is 110.9 m/s.Step 2Part (b)The wavelength of the resulting waves on the rope can be calculated as:λ=vfλ=110.9 m/s25 Hz×1 s-11 Hzλ=4. ... See the full answer