Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 12, Problem 8CQ
To determine
The necessity of damping for the real vibration.
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A mass of 0.5 kg stretches a spring by 20 cm. Neglect damping constant,
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Note: Round all answers to 1 decimal place.
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2. Find the amplitude. A
3. Find the phase shift. &=te
Knowledge of damped oscillating systems comes in very handy when designing car suspension systems, where coil springs are attached to the driving axle near the tires.
What type of damping would be ideal for a suspension system that emphasizes car durability and passenger comfort, and why?
If you need numerical values to justify or elaborate on your answer, you can simulate the car+passenger system as a 3,000 kg mass attached to a single spring with a k-constant of your choosing.
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that the elastic potential energy of the oscillator is zero at x = 0. At an
instant when the displacement is equal to A/5, what fraction of the total
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Chapter 12 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 12.1 - A block on the end of a spring is pulled to...Ch. 12.2 - Consider a graphical representation (Fig. 12.3) of...Ch. 12.2 - Figure 12.4 shows two curves representing...Ch. 12.2 - An object of mass m is hung from a spring and set...Ch. 12.4 - A grandfather clock depends on the period of a...Ch. 12.5 - Prob. 12.6QQCh. 12 - Which of the following statements is not true...Ch. 12 - Prob. 2OQCh. 12 - Prob. 3OQCh. 12 - Prob. 4OQ
Ch. 12 - Prob. 5OQCh. 12 - Prob. 6OQCh. 12 - If a simple pendulum oscillates with small...Ch. 12 - Prob. 8OQCh. 12 - Prob. 9OQCh. 12 - Prob. 10OQCh. 12 - Prob. 11OQCh. 12 - Prob. 12OQCh. 12 - Prob. 13OQCh. 12 - You attach a block to the bottom end of a spring...Ch. 12 - Prob. 15OQCh. 12 - Prob. 1CQCh. 12 - The equations listed in Table 2.2 give position as...Ch. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - The mechanical energy of an undamped blockspring...Ch. 12 - Prob. 8CQCh. 12 - Prob. 9CQCh. 12 - Prob. 10CQCh. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Consider the simplified single-piston engine in...Ch. 12 - A 0.60-kg block attached to a spring with force...Ch. 12 - When a 4.25-kg object is placed on top of a...Ch. 12 - The position of a particle is given by the...Ch. 12 - You attach an object to the bottom end of a...Ch. 12 - A 7.00-kg object is hung from the bottom end of a...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - A 1.00-kg glider attached to a spring with a force...Ch. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - A 500-kg object attached to a spring with a force...Ch. 12 - In an engine, a piston oscillates with simple...Ch. 12 - A vibration sensor, used in testing a washing...Ch. 12 - A blockspring system oscillates with an amplitude...Ch. 12 - A block of unknown mass is attached to a spring...Ch. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - A 200-g block is attached to a horizontal spring...Ch. 12 - A 50.0-g object connected to a spring with a force...Ch. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - The angular position of a pendulum is represented...Ch. 12 - A small object is attached to the end of a string...Ch. 12 - A very light rigid rod of length 0.500 m extends...Ch. 12 - A particle of mass m slides without friction...Ch. 12 - Review. A simple pendulum is 5.00 m long. What is...Ch. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Show that the time rate of change of mechanical...Ch. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Four people, each with a mass of 72.4 kg, are in a...Ch. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - A block of mass m is connected to two springs of...Ch. 12 - Review. One end of a light spring with force...Ch. 12 - Prob. 58PCh. 12 - A small ball of mass M is attached to the end of a...Ch. 12 - Prob. 60PCh. 12 - Prob. 61PCh. 12 - Prob. 62PCh. 12 - Prob. 63PCh. 12 - A smaller disk of radius r and mass m is attached...Ch. 12 - A pendulum of length L and mass M has a spring of...Ch. 12 - Consider the damped oscillator illustrated in...Ch. 12 - An object of mass m1 = 9.00 kg is in equilibrium...Ch. 12 - Prob. 68PCh. 12 - A block of mass M is connected to a spring of mass...
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