A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass = 3.50 kg) in the +x direction. The rope is tied at one end to give a tension T. The wave is described by wavelength λ= 2.00 m, amplitude A=1.20 m and speed v=30.0 m/s. The phase angle is -π/4 radian.
a. the expression that describes the y-displacement of the media particles as a function of time (give numbers for all the quantities).
b. the y-displacement for a rope particle at x=42.0 m from the left end at a time of 1.50 s after the wave started,
c. the transverse velocity for a rope particle at x=68.0 m at time of 3.5 0s
d. the time when the transverse acceleration for a rope particle at x=42.0 m is –6.079 x103m/s2
e. the Tension in the rope
f. the Power required to maintain this wave (or the rate of energy transfer down the rope).
A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass...
A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure below shows a plot of the displacement as a function of position at time t = 0. The x axis is marked in increments of 10 cm and the y axis is marked in increments of 2 cm. The string tension is 3.1 N, and its linear density is 34 g/m. (a) Find the amplitude. m (b) Find the wavelength. m...
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