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Unformatted text preview: Nicholas Charles Miller- PHY183, Spring 2010 - Physics for Scientists and Engineers I 1 Homework Set 11 Due date: Sun Apr 25 23:59:00 2010 Cars have shock absorbers to damp out the oscillations that would occur when the springs that attach the wheels to the cars frame are compressed or stretched. Ideally, the shock absorbers work at critical damping, where the damping angular frequency is exactly equal to the angular frequency of the undamped motion. If shock absorbers fail, they provide less damping, resulting in an underdamped motion. You can perform a simple test of your shock absorbers by pushing down on one corner of your car and the quickly releasing. If this results in an up-and-down oscillation of your car, you know that your shock absorbers need changing. The spring on each wheel of a car has a spring constant k = 4285 N/m, and the car has a mass of 891 kg, equally distributed over all four wheels. Its shock absorbers have gone bad and only provide 56.7 % of the damping that they were initially designed for. What will be the period of the underdamped oscillation if you perform the pushing-down shock absorber test described above. Tries 0/99 The graph shown in this figure represents an example of the time dependence of the displacement in damped harmonic motion. Match the points on the curve to the velocity and acceleration of the object. Choices: v=0 & a=0 , v=0 & a < , v=0 & a > , v < 0 & a=0 , v < 0 & a < , v < 0 & a > , v > 0 & a=0 , v > 0 & a < , v > 0 & a > . A. at point G. B. at point J. C. at point F. D. at Point B. Tries 0/99 A mass of 0.404 kg is attached to a spring with spring constant 209.5 N/m. Its oscillation is damped with a damping constant of b = 16.7 kg/s. What is the angular oscillation frequency of this damped oscillation? Tries 0/99 Please evaluate the following statements for a mass hanging from a spring. The mass is pulled down a distance x from equilibrium and then released from rest at t=0, undergoing harmonic oscillations. Doubling x will result in Choices: a factor of 4 higher , a factor of 2 higher , the same , a factor of 2 lower , a factor of 4 lower ....
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