Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 11PCE
The position of a mass oscillating on a spring is given by x = (7.8 cm) cos [2πt/ (0.68 s)]. (a) What is the frequency of this motion? (b) When is the mass first at the position x = −7.8 cm?
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A mass moving back and forth on a spring obeys the sinusoidal equation x(t) = A cos(2πft), where A is the amplitude of the oscillation or the maximum displacement of the mass from its equilibrium position, f is the frequency of the oscillation and t is the time. If the amplitude is 10.0 cm and the frequency is f = 0.500 Hz, what is the position of the mass at t = 3.00 s?
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the position of a mass oscillating on a spring is given by x=(7.8cm)cos(2pi/0.68s). a) what is the frequency of this motion? b)When is the mass first at the position x=-7.8cm?
Chapter 13 Solutions
Physics, Books a la Carte Edition (5th Edition)
Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYUCh. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...
Ch. 13 - An air-track cart bounces back and forth between...Ch. 13 - If a mass m and a mass 2m oscillate on identical...Ch. 13 - An object oscillating with simple harmonic motion...Ch. 13 - The position of an object undergoing simple...Ch. 13 - The pendulum bob in Figure 13-18 leaks sand onto...Ch. 13 - A person in a rocking chair completes 12 cycles in...Ch. 13 - While fishing for catfish, a fisherman suddenly...Ch. 13 - If you dribble a basketball with a frequency of...Ch. 13 - You take your pulse and observe 74 heartbeats in a...Ch. 13 - BIO Slow-Motion Dragonfly A frame-by-frame...Ch. 13 - Predict/Calculate (a) Your heart beats with a...Ch. 13 - You rev your cars engine to 3300 rpm (rev/min)....Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - A position-versus-time plot for an object...Ch. 13 - A mass on a spring oscillates with simple harmonic...Ch. 13 - A mass oscillates on a spring with a period of...Ch. 13 - Predict/Calculate Molecular Oscillations An atom...Ch. 13 - A mass oscillates on a spring with a period T and...Ch. 13 - The position of a mass on a spring is given by x =...Ch. 13 - Predict/Calculate A mass attached to a spring...Ch. 13 - A lawn sprinkler oscillates with simple harmonic...Ch. 13 - A ball rolls on a circular track of radius 0.62 m...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - A child rocks back and forth on a porch swing with...Ch. 13 - Predict/Calculate A 30.0-g goldfinch lands on a...Ch. 13 - BIO Tuning Forks in Neurology Tuning forks are...Ch. 13 - A vibrating structural beam in a spacecraft can...Ch. 13 - A peg on a turntable moves with a constant...Ch. 13 - The pistons in an internal combustion engine...Ch. 13 - Vomit Comet NASA trains astronauts to deal with...Ch. 13 - A 0.84-kg air cart is attached to a spring and...Ch. 13 - Predict/Calculate A person rides on a mechanical...Ch. 13 - An object moves with simple harmonic motion of...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - Predict/Explain If a mass m is attached to a given...Ch. 13 - Predict/Explain An old car with worn-out shock...Ch. 13 - Predict/Explain The two blocks in Figure 13-34...Ch. 13 - A 0.49-kg mass attached to a spring undergoes...Ch. 13 - A freshly caught catfish is placed on a spring...Ch. 13 - System A consists of a mass m attached to a spring...Ch. 13 - Find the periods of block 1 and block 2 in Figure...Ch. 13 - When a 0.62-kg mass is attached to a vertical...Ch. 13 - A spring with a force constant of 82 N/m is...Ch. 13 - A bunch of grapes is placed in a spring scale at a...Ch. 13 - Two people with a combined mass of 125 kg hop into...Ch. 13 - A 0.95-kg mass attached to a vertical spring of...Ch. 13 - When a 0.184-kg mass is attached to a vertical...Ch. 13 - Predict/Calculate The springs of a 511-kg...Ch. 13 - Predict/Calculate If a mass m is attached to a...Ch. 13 - A 0.285-kg mass is attached to a spring with a...Ch. 13 - A 1.6-kg mass attached to a spring oscillates with...Ch. 13 - Predict/Calculate A 0.40-kg mass is attached to a...Ch. 13 - Prob. 51PCECh. 13 - BIO Astronaut Mass An astronaut uses a Body Mass...Ch. 13 - Predict/Calculate A 0.505-kg block slides on a...Ch. 13 - A 3.55-g bullet embeds itself in a 1.47-kg block,...Ch. 13 - Metronomes, such as the penguin shown in Figure...Ch. 13 - Predict/Explain A grandfather clock keeps correct...Ch. 13 - An observant fan at a baseball game notices that...Ch. 13 - A simple pendulum of length 2.3 m makes 5.0...Ch. 13 - United Nations Pendulum A large pendulum with a...Ch. 13 - Predict/Calculate If the pendulum in the previous...Ch. 13 - A Hula Hoop hangs from a peg. 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