guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.386 m. The maximum transverse acceleration of a point at the middle of the segment is 8.40 * 103 m/s2 and the maximum transverse velocity is 3.80 m>s. (a) What is the amplitude of this standing wave? (b) What is the wave speed for the transverse traveling waves on this string?
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guitar string is vibrating in its fundamental mode,
with nodes at each end. The length of the segment of the string that is free
to vibrate is 0.386 m. The maximum transverse acceleration of a point at
the middle of the segment is 8.40 * 103 m/s2 and the maximum transverse
velocity is 3.80 m>s. (a) What is the amplitude of this standing wave?
(b) What is the wave speed for the transverse traveling waves on this string?
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- Calculate the frequency, period and wave number.A harmonic transverse wave function is given by y(x, t) = (0.815 m)sin(15.0x + 10.0t) where all values are in the appropriate SI units. (Assume x is in meters and t is in seconds.) (a) What are the propagation speed and direction of the wave's travel? speed m/s direction ---Select--- V (b) What are the wave's period and wavelength? period S wavelength m (c) What is the amplitude? m (d) If the amplitude is doubled, what happens to the speed of the wave? O The speed of the wave is doubled. O The speed of the wave is quadrupled. The speed of the wave is halved. O The speed of the wave remains unchanged.The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012sin(Ttx-100rtt+2rt/3), where x and y are in meters and t is i seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is:
- A transverse harmonic wave on a string is described by y(x, t) = 3.0 sin (36 t + 0.018 x + π/4) where x and y are in cm and tin s. The positive direction of x is from left to right. (a) Is this a travelling wave or a stationary wave ? (b) (c) (d) If it is travelling, what are the speed and direction of its propagation What are its amplitude and frequency ? What is the initial phase at the origin? What is the least distance between two successive crests in the wave ?A transverse wave I traveling on a string. The displacement y of a particle from its equilibrium position is given by y = (0.20m) sin (35t - 20x). The linear density of the string is 1.5 x 10-2 kg/m. What is the tension in the stringTransverse waves with a speed of 56.0 m/s are to be produced on a stretched string. A 4.05-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string?N(b) Calculate the wave speed in the string if the tension is 8.00 N. m/s
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- The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!Transverse waves with a speed of 46.5 m/s are to be produced on a stretched string. A 5.40-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N. m/sCousin Throckmorton holds one end of the clothesline taut and wiggles it up and down sinusoidally with frequency 2.00 Hz and amplitude 0.075 m. The wave speed on the clothesline is v = 12.0 m/s. At t = 0 Throcky’s end has maximum positive displacement and is instantaneously at rest. Assume that no wave bounces back from the far end. (a) Find the wave amplitude A, angular frequency v, period T, wavelength l, and wave number k. (b) Write a wave function describing the wave. (c) Write equations for the displacement, as a function of time, of Throcky’s end of the clothesline and of a point 3.00 m from that end.