13. A block is attached to a horizontal spring. On top of this block rests an- other block. The two-block system slides back and forth in simple harmonic motion on a frictionless horizontal surface. At one extreme end of the oscil- lation cycle, where the blocks come to a momentary halt before reversing the direction of their motion, the top block is suddenly lifted vertically upward, without changing the zero velocity of the bottom block. The simple harmonic motion then continues. What happens to the amplitude and the angular fre- quency of the ensuing motion? (a) The amplitude remains the same, and the angular frequency increases. (b) The amplitude increases, and the angular frequency remains the same. (c) Both the amplitude and the angular fre- quency remain the same. (d) Both the amplitude and the angular frequency decrease. (e) Both the amplitude and the angular frequency increase.

13. A block is attached to a horizontal spring. On top of this block rests an- other block. The two-block system slides back and forth in simple harmonic motion on a frictionless horizontal surface. At one extreme end of the oscil- lation cycle, where the blocks come to a momentary halt before reversing the direction of their motion, the top block is suddenly lifted vertically upward, without changing the zero velocity of the bottom block. The simple harmonic motion then continues. What happens to the amplitude and the angular fre- quency of the ensuing motion? (a) The amplitude remains the same, and the angular frequency increases. (b) The amplitude increases, and the angular frequency remains the same. (c) Both the amplitude and the angular fre- quency remain the same. (d) Both the amplitude and the angular frequency decrease. (e) Both the amplitude and the angular frequency increase.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.11OQ: A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force...

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Consider the damped oscillator illustrated in Figure 15.19. The mass of the object is 375 g, the spring constant is 100 N/m, and b = 0.100 N s/m. (a) Over what time interval does the amplitude drop to half its initial value? (b) What If? Over what time interval does the mechanical energy drop to half its initial value? (c) Show that, in general, the fractional rate at which the amplitude decreases in a damped harmonic oscillator is one-half the fractional rate at which the mechanical energy decreases.
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