A long rope is fixed to the wall on the right side. The left end is pulled horizontally to the left with the force of F=250 N and shaken periodically in vertical direction up and down. The vertical motion of the left end of the rope starts at rest and the most upper position 20 cm above the initial point is reached in 0.1 s. The weight of 1 m of the rope is 0.1 kg. a) Find the essential parameters describing the wave: its period T or frequency f, wavelength i and amplitude A. b) Write mathematical expression describing the motion of the rope and c) Sketch the wave in time (history graph) and in space

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A long rope is fixed to the wall on the right side. The left end is pulled horizontally to the left
with the force of F=250 N and shaken periodically in vertical direction up and down. The vertical
motion of the left end of the rope starts at rest and the most upper position 20 cm above the
initial point is reached in 0.1 s. The weight of 1 m of the rope is 0.1 kg.
a) Find the essential parameters describing the wave: its period T or frequency f,
wavelength A and amplitude A.
b) Write mathematical expression describing the motion of the rope and
c) Sketch the wave in time (history graph) and in space
d) Find the maximum acceleration and maximum speed of the rope in vertical direction.
Transcribed Image Text:A long rope is fixed to the wall on the right side. The left end is pulled horizontally to the left with the force of F=250 N and shaken periodically in vertical direction up and down. The vertical motion of the left end of the rope starts at rest and the most upper position 20 cm above the initial point is reached in 0.1 s. The weight of 1 m of the rope is 0.1 kg. a) Find the essential parameters describing the wave: its period T or frequency f, wavelength A and amplitude A. b) Write mathematical expression describing the motion of the rope and c) Sketch the wave in time (history graph) and in space d) Find the maximum acceleration and maximum speed of the rope in vertical direction.
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