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Chapter 15: Q8P (page 436)
What is the phase constant for the harmonic oscillator with the position functiongiven in Figure if the position function has the form? The vertical axis scale is set by.
Phase constant for motion is 1.91 rad
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In fig.15-28, a spring鈥揵lock system is put into SHM in two experiments. In the first, the block is pulled from the equilibrium position through a displacement and then released. In the second, it is pulled from the equilibrium position through a greater displacement and then released. Are the (a) amplitude, (b) period, (c) frequency, (d) maximum kinetic energy, and (e) maximum potential energy in the second experiment greater than, less than, or the same as those in the first experiment?
You are to complete Fig 15-23aso that it is a plot of acceleration a versus time t for the spring鈥揵lock oscillator that is shown in Fig 15-23b for t=0 . (a) In Fig.15-23a, at which lettered point or in what region between the points should the (vertical) a axis intersect the t axis? (For example, should it intersect at point A, or maybe in the region between points A and B?) (b) If the block鈥檚 acceleration is given bywhat is the value of? Make it positive, and if you cannot specify the value (such as+), then give a range of values (such as between 0 and).
Which of the following relationships between the acceleration a and the displacement x of a particle involve SHM: (a) a=0.5x, (b) a=400, (c) a=20x, (d)a=-3?
A block sliding on a horizontal frictionless surface is attached to a horizontal spring with role="math" localid="1657267407759" . Let be the displacement of the block from the position at which the spring is unstretched . At the block passes through with a speed of in the positive direction. What are the (a) frequency and (b) amplitude of the block鈥檚 motion? (c) Write an expression foras a function of time.
Figure 15-61shows that if we hang a block on the end of a spring with spring constant k, the spring is stretched by distance. If we pull down on the block a short distance and then release it, it oscillates vertically with a certain frequency. What length must a simple pendulum have to swing with that frequency?
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