The collapse of the Tacoma bridge on 7th November 1940, what are some applications were either resonance is used or resonance has to be accounted for in the design?
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The collapse of the Tacoma bridge on 7th November 1940, what are some applications were either resonance is used or resonance has to be accounted for in the design?
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- 82. All spiders have special organs that make them exquisitely sensitive to vibrations. Web spiders detect vibrations of their web to determine what has landed in their web, and where. In fact, spiders carefully adjust the tension of strands to “tune” their web. Suppose an insect lands and is trapped in a web. The silk of the web serves as the spring in a spring-mass system while the body of the insect is the mass. The frequency of oscillation depends on the restoring force of the web and the mass of the insect. Spiders respond more quickly to larger—and therefore more valuable—prey, which they can distinguish by the web’s oscillation frequency. Suppose a 12 mg fly lands in the center of a horizontal spider’s web, causing the web to sag by 3.0 mm. Modeling the motion of the fly on the web as a mass on a spring, at what frequency will the web vibrate when the fly hits it? A. 0.91 Hz B. 2.9 Hz C. 9.1 Hz D. 29 HzMathematical Physics Laplace Transform Can you solve further the solution for this problem?Which of the following is an example of resonance? A flying a paper airplane B shaking the floor as you bounce your leg C turning down your speakers covering your ears with your hands
- Consider the following figure: a forced oscillator system is shown in the figure where C = 8.0x10^-6 F, L = 2.0×10^-2 H, R = %3D %3D 75 ohm and V(t) = Vo cos wt (volt) a. Write down the equation for forced oscillation. b. Calculate the impedance and resonant frequency. c. Show the maximum potential at which the inductance appears at the frequency w == wo(1 – 1/2Q3)/2 . IR V,= Vo cosot Vacan you find the final bearing with sine law?4) A variable-speed electric motor, having an unbalance, is mounted on an isolator. As the speed of the motor is increased from zero, the amplitudes of vibration of the motor have been observed to be 0.55 inches at resonance and 0.15 inches at speeds much greater than resonance. Find the numerical value of the damping ratio of the isolator.