A stretched string of length L is fixed at both ends. It is plucked halfway along its length by producing an initial displacement h and then releasing the string The expression for the string displacement at time t=0 is given by Select one: a. y(x, 0) = 4hx/L ≈ 4h(L-x)/L ob. y(x, 0) = 2hx/L OC. = 2h(L-X)/L y(x, 0) = 3hx/2L 0
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- 1. Many structures and materials have what is known as a natural frequency. If we apply a forcing frequency near the natural frequency of a material, the material experiences a phenomenon known as resonance. This equation models resonance: y(t) + (t/2)cos(t) a) Plot y(t) on the time interval 0 ≤ t ≤ 20. b) What is the lim as t approaches ∞ y(t)? How do physical objects like a wine glass react to this limit?A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 44.0 vibrations in 29.0 s. Also, a given maximum travels 425 cm along the rope in 5.0 s. What is the wavelength? cm Need Help? Read It Watch ItQ18 An Ethernet cable is 3.85 m long. The cable has a mass of 0.210 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.715 s. What is the tension in the cable?
- An ethernet cable is 3.90 m long and has a mass of 0.210 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.810 s. What is the tension in the cable?NThe motion of a body is described by the equation 3.25 sin (0.320πt), where t is in seconds and y is in meters. a. Find the frequency. b. Find the displacement at t = 3.50 s. c. Find the displacement at t = 25.0 s.A violin string 30.4 cm long with linear density 0.674 g/m is placed near a loudspeaker that is fed by an audio oscillator of variable frequency. It is found that the string is set into oscillation only at the frequencies 1350 and 1800 Hz as the frequency of the oscillator is varied over a certain range. What is the tension in the string? Number i Units
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