A In the Standing Wave Lab, lab partners Julio and Jose adjust the frequency of a mechanical ocillator to vibrate a 1.70 m length of elastic cord. fixed at both ends, at one of its harmonic frequencies as shown above. The frequency of vibration turns out 79.4 Hz. Determine the speed of the waves in the elastic cord. O 21.4 m/s O 54.0 m/s O 42.8 m/s 44.5 m/s
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- A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.A mass of 0.75 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 57 m N when the mass has a velocity of 6 The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.07 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to s² gravity. u(t) = .07(e-6.33t) sin(1 -6.33t) sin 12.487t + K|2 XAn ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m = 0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil. Part A The maximum restoring force that can be applied to the disk without breaking it is 3.1x104 N. What is the maximum oscillation amplitude that won't rupture the disk? Express your answer to two significant figures and include the appropriate units. Arnare = Submit Part B μA Vmax= Value * Incorrect; Try Again: 5 attempts remaining Submit Previous Answers Request Answer What is the disk's maximum speed at this amplitude? Express your answer to two significant figures and include the appropriate units. m Value Request Answer Units ?
- 3An Ethernet cable is 4.30 m long. The cable has a mass of 0.195 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 0.840 s. What is the tension in the cable? N Need Help? Read It Watch ItA rubber band of mass 0.3167 g is stretched between two fingers. The overall stretched length of the band is 20.33 cm. One side of the band is plucked, setting up a vibration in 9.613 cm of the band's stretched length. The lowest frequency of vibration that can be set up on this part of the rubber band is 239.1 Hz. What is the tension in each side of the rubber band? Assume that the band stretches uniformly. N
- Hz A cart of mass 200.0 g is attached to a horizontal spring of spring constant 75 N/m. The cart has four wheels; each wheel is a solid disk of radius 1.3 cm and mass 50.0 g. The cart is free to roll with no internal friction on a horizontal surface. Including the rotational inertia of the wheels, what is the frequency at which the cart will oscillate back and forth?A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.a) Sketch a graph of this situation. b) Write an equation of this sinusoidal.Simon drives to a restaurant where he notices that the door to the kitchen swings both in and out to allow serving staff to rapidly get to and from the kitchen. After a member of staff passes through the door it swings back and forth three times before coming to rest. The door is released a distance of 0.70 m from the frame and swings with a frequency of 0.40 Hz. b Draw a graph to show how the displacement varies with time until the door comes to rest. Include values where possible.
- A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.600 m and a mass of 4.50 g. Part A What is the frequency of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. ΕΞΙ ΑΣΦ Submit Part B Request Answer 71= 2 What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f-16 kHz? Express your answer exactly. 197) ΑΣΦ 4 Ha ?M k 4. A small block moving with a constant speed v collides inelastically with a block M attached to one end of a spring k. The other end of the spring is connected to a stationary wall. Ignore friction between the blocks and the surface. a. What is the speed of the system of two blocks after the collision? b. What is amplitude of oscillations of the system of two blocks? c. What is the period of oscillations? d. What is the total energy of the oscillating system?A mass weighing 4 Ibs. stretches a spring 6 in. If the mass is pushed upward, contracting the spring distance 1 in and then set in motion with a downward velocity of 2 fl/s, and if there is no damping. a. Find the position function u of the mass at any time t. b. Determine the frequency, period, amplitude, and phase of the motion.