College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321902559
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 14, Problem 40P
Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building. When the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. Damping the motion of the mass reduces the maximum amplitude of oscillation of the building.
a. What is the period of oscillation of the building?
b. During strong winds, how fast is the pendulum moving when it passes through the equilibrium position?
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Chapter 14 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 14 - Give three real-world examples of oscillatory...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 - A block oscillating on a spring has a maximum...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 - A pendulum on Planet X, where the value of g is...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 - It is possible to identify promising locations for...Ch. 14 - Sprinters push off from the ball of their foot,...Ch. 14 - Gibbons move through the trees by swinging from...Ch. 14 - What is the difference between the driving...Ch. 14 - Humans have a range of hearing of approximately 20...Ch. 14 - A person driving a truck on a washboard road, one...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 - A car bounces up and down on its springs at 1.0 Hz...Ch. 14 - If you carry heavy weights in your hands, how will...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 - During an earthquake, the top of a building...Ch. 14 - Some passengers on an ocean cruise may suffer from...Ch. 14 - A passenger car traveling down a rough road...Ch. 14 - The New England Merchants Bank Building in Boston...Ch. 14 - We can model the motion of a dragonflys wing as...Ch. 14 - We can model the motion of a bumblebees wing as...Ch. 14 - Hummingbirds may seem fragile, but their wings are...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 - You and your friends find a rope that hangs down...Ch. 14 - A thin, circular hoop with a radius of 0.22 m is...Ch. 14 - Prob. 34PCh. 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 - When you drive your car over a bump, the springs...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 - Your car rides on springs, so it will have a...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 - A spring is hanging from the ceiling. Attaching a...Ch. 14 - A spring with spring constant 15.0 N/m hangs from...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 - An object oscillating on a spring has the velocity...Ch. 14 - The two graphs in Figure P14.51 are for two...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 - A 1.00 kg block is attached to a horizontal spring...Ch. 14 - Figure P14.59 shows two springs, each with spring...Ch. 14 - Bungee Man is a superhero who does super deeds...Ch. 14 - The earths free-fall acceleration varies from...Ch. 14 - Orangutans can move by brachiation, swinging like...Ch. 14 - An infants toy has a 120 g wooden animal hanging...Ch. 14 - A jellyfish can propel itself with jets of water...Ch. 14 - A 200 g oscillator in a vacuum chamber has a...Ch. 14 - While seated on a tall bench, extend your lower...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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