You are testing a mountain climbing rope that has a linearmass density of 0.0650 kg/m. The rope is held horizontal and is undera tension of 8.00 * 10^2 N to simulate the stress of supporting a mountainclimber’s weight. (a) What is the speed of transverse waves on thisrope? (b) You oscillate one end of the rope up and down in SHM withfrequency 25.0 Hz and amplitude 5.00 mm. What is the wavelength ofthe resulting waves on the rope? (c) At t = 0 the end you are oscillatingis at its maximum positive displacement and is instantaneously atrest. Write an equation for the displacement as a function of time at apoint 2.50 m from that end. Assume that no wave bounces back fromthe other end.

You are testing a mountain climbing rope that has a linearmass density of 0.0650 kg/m. The rope is held horizontal and is undera tension of 8.00 * 10^2 N to simulate the stress of supporting a mountainclimber’s weight. (a) What is the speed of transverse waves on thisrope? (b) You oscillate one end of the rope up and down in SHM withfrequency 25.0 Hz and amplitude 5.00 mm. What is the wavelength ofthe resulting waves on the rope? (c) At t = 0 the end you are oscillatingis at its maximum positive displacement and is instantaneously atrest. Write an equation for the displacement as a function of time at apoint 2.50 m from that end. Assume that no wave bounces back fromthe other end.

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Question

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.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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