Explanation Given data: Time period is 0.66 s . Time constant is 4.1 s . The amplitude is decreased to 20 % of its initial amplitude. Formula used: Write the expression for frequency. f = 1 t (1) Here, t is the time period. Write the expression for maximum displacement of damped harmonic oscillator. x max ( t ) = A e − t τ (2) Here, A is the amplitude, t is the time period, and τ is the time constant. Explanation: Substitute 0.66 s for t in equation (1), f = 1 0.66 s = 1.51 Hz The value of frequency 1.51 Hz indicates that the 1.51 oscillations per second. Re-arrange equation (1) as follows. e − t τ = x max ( t ) A − t τ = ln ( x max ( t ) A ) t = − τ ln ( x max ( t ) A ) (3) For 20 % of decrease in initial amplitude, the value of x max ( t ) A is 0

4th Edition

ISBN: 9780134899978

Author: Knight

Publisher: PEARSON

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Chapter 14, Problem 44P

To determine

The number of oscillations.

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Chapter 14, Problem 43P

Chapter 14, Problem 45P

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Chapter 14 Solutions

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Ch. 14 - Prob. 1CQ Ch. 14 - A persons heart rate is given in beats per minute....Ch. 14 - Figure Q14.3 shows the position-versus-time graph...Ch. 14 - A tall building is swaying back and forth on a...Ch. 14 - A child is on a swing, gently swinging back and...Ch. 14 - A block oscillating on a spring has an amplitude...Ch. 14 - A block oscillating on a spring has a maximum...Ch. 14 - Prob. 8CQ Ch. 14 - For the graph in Figure Q14.9, determine the...Ch. 14 - For the graph in Figure Q14.10 , determine the...

Ch. 14 - A block oscillating on a spring has period t = 2.0...Ch. 14 - Prob. 12CQ Ch. 14 - Flies flap their wings at frequencies much too...Ch. 14 - Denver is at a higher elevation than Miami; the...Ch. 14 - If you want to play a tune on wine glasses, youll...Ch. 14 - Prob. 16CQ Ch. 14 - Prob. 17CQ Ch. 14 - Gibbons move through the trees by swinging from...Ch. 14 - Sprinters push off from the ball of their foot,...Ch. 14 - Humans have a range of hearing of approximately 20...Ch. 14 - Prob. 21CQ Ch. 14 - Weve seen that stout tendons in the legs of...Ch. 14 - A spring has an unstretched length of 20 cm. A 100...Ch. 14 - Figure Q14.24 represents the motion of a mass on a...Ch. 14 - A ball of mass m oscillates on a spring with...Ch. 14 - Prob. 26MCQ Ch. 14 - Prob. 27MCQ Ch. 14 - A heavy brass ball is used to make a pendulum with...Ch. 14 - Very loud sounds can damage hearing by injuring...Ch. 14 - When a guitar string plays the note A, the string...Ch. 14 - In the aftermath of an intense earthquake, the...Ch. 14 - In taking your pulse, you count 75 heartbeats in 1...Ch. 14 - A spring scale hung from the ceiling stretches by...Ch. 14 - A heavy steel ball is hung from a cord to make a...Ch. 14 - An air-track glider attached to a spring...Ch. 14 - An air-track glider is attached to a spring. The...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - What are the (a) amplitude and (b) frequency of...Ch. 14 - Prob. 10P Ch. 14 - Prob. 11P Ch. 14 - Prob. 12P Ch. 14 - Some passengers on an ocean cruise may suffer from...Ch. 14 - The New England Merchants Bank Building in Boston...Ch. 14 - Prob. 15P Ch. 14 - Prob. 16P Ch. 14 - We can model the motion of a bumblebees wing as...Ch. 14 - Prob. 18P Ch. 14 - a. When the displacement of a mass on a spring is...Ch. 14 - A 1.0 kg block is attached to a spring with spring...Ch. 14 - A block attached to a spring with unknown spring...Ch. 14 - A 200 g air-track glider is attached to a spring....Ch. 14 - The position of a 50 g oscillating mass is given...Ch. 14 - A 50-em-long spring is suspended from the ceiling....Ch. 14 - A 200 g mass attached to a horizontal spring...Ch. 14 - A 507 g mass oscillates with an amplitude of 10.0...Ch. 14 - A mass on a string of unknown length oscillates as...Ch. 14 - The mass in a pendulum clock completes one...Ch. 14 - A 200 g ball is tied to a string. It is pulled to...Ch. 14 - The free-fall acceleration on the moon is 1.62...Ch. 14 - Astronauts on the first trip to Mars take along a...Ch. 14 - A building is being knocked down with a wrecking...Ch. 14 - Interestingly, there have been several studies...Ch. 14 - Prob. 34P Ch. 14 - You and your friends find a rope that hangs down...Ch. 14 - Prob. 37P Ch. 14 - Prob. 38P Ch. 14 - The amplitude of an oscillator decreases to 36.8%...Ch. 14 - A physics department has a Foucault pendulum, a...Ch. 14 - Calculate and draw an accurate displacement graph...Ch. 14 - A small earthquake starts a lamppost vibrating...Ch. 14 - Prob. 43P Ch. 14 - Prob. 44P Ch. 14 - Prob. 45P Ch. 14 - Taipei 101 (a 101-story building in Taiwan) is...Ch. 14 - A 25 kg child sits on a 2.0-m-long rope swing. You...Ch. 14 - Prob. 48P Ch. 14 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 14 - A spring has an unstretched length of 12 cm. When...Ch. 14 - A 0.40 kg ball is suspended from a spring with...Ch. 14 - Prob. 52GP Ch. 14 - A spring with spring constant 15.0 N/m hangs from...Ch. 14 - Prob. 54GP Ch. 14 - Prob. 55GP Ch. 14 - A spring is hung from the ceiling. When a coffee...Ch. 14 - On your first trip to Planet X you happen to take...Ch. 14 - Prob. 58GP Ch. 14 - Prob. 59GP Ch. 14 - As weve seen, astronauts measure their mass by...Ch. 14 - A 100 g ball attached to a spring with spring...Ch. 14 - The ultrasonic transducer used in a medical...Ch. 14 - A compact car has a mass of 1200 kg. When empty,...Ch. 14 - A car with a total mass of 1400 kg (including...Ch. 14 - A 500 g air-track glider attached to a spring with...Ch. 14 - Prob. 67GP Ch. 14 - Prob. 68GP Ch. 14 - Prob. 70GP Ch. 14 - Prob. 71GP Ch. 14 - Orangutans can move by brachiation, swinging like...Ch. 14 - An infants toy has a 120 g wooden animal hanging...Ch. 14 - Prob. 74GP Ch. 14 - A 200 g oscillator in a vacuum chamber has a...Ch. 14 - Prob. 76GP Ch. 14 - We can make a static measurement to deduce the...Ch. 14 - If, during a stride, the stretch causes her center...Ch. 14 - If we imagine a full cycle of the oscillation,...Ch. 14 - Given what you have calculated for the period of...Ch. 14 - Suppose a 12 mg fly lands in the center of a...Ch. 14 - Modeling the motion of the fly on the web as a...Ch. 14 - If the web were vertical rather than horizontal,...Ch. 14 - Spiders are more sensitive to oscillations at...

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