COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13, Problem 61P
(a)
To determine
The largest amplitude of the resultant wave.
(b)
To determine
The smallest amplitude of the resultant wave.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A wave of amplitude 0.30 m interferes with a second wave of amplitude 0.20 m traveling in the same direction. What are (a) the largest and (b) the smallest resultant amplitudes that can occur, and under what conditions will these maxima and minima arise?
Observations of the water particle motions in a small amplitude wave system have resulted in major semiaxis=10cm and minor semiaxis=5cm for a total water depth of 1m. These observations apply for a particle whose mean position is at middepth. What are the wave height, period, and wavelength?
f(1)- 40 sin
+100
f()
. Let
in seconds. write the equation if the amplitude of f begins increasing by 2 feet per second,
and the midline starts decreasing by 15% each second.
be the basic sinusoidal function
where fis in feet and t is
Chapter 13 Solutions
COLLEGE PHYSICS,V.2
Ch. 13.1 - A block on the end of a horizontal spring is...Ch. 13.1 - For a simple harmonic oscillator, which of the...Ch. 13.2 - When an object moving in simple harmonic motion is...Ch. 13.3 - An object of mass m is attached to a horizontal...Ch. 13.3 - Prob. 13.5QQCh. 13.4 - If the amplitude of a system moving in simple...Ch. 13.5 - A simple pendulum is suspended from the ceiling of...Ch. 13.5 - A pendulum dork depends on the period of a...Ch. 13.5 - The period of a simple pendulum is measured to be...Ch. 13 - An objectspring system undergoes simple harmonic...
Ch. 13 - If an objectspring system is hung vertically and...Ch. 13 - The spring in Figure CQ13.3 is stretched from its...Ch. 13 - If the spring constant shown in Figure CQ13.3 is...Ch. 13 - If the spring shown in Figure CQ13.3 is com...Ch. 13 - If a spring is cut in half, what happens to its...Ch. 13 - A pendulum bob is made from a sphere filled with...Ch. 13 - A block connected to a horizontal spring is in...Ch. 13 - (a) Is a bouncing ball an example of simple...Ch. 13 - If a grandfather clock were running slow, how...Ch. 13 - What happens to the speed of a wave on a string...Ch. 13 - Prob. 12CQCh. 13 - Waves are traveling on a uniform string under...Ch. 13 - Identify each of the following waves as either...Ch. 13 - A block, of mass m = 0.60 kg attached to a spring...Ch. 13 - A spring oriented vertically is attached to a hard...Ch. 13 - The force constant of a spring is 137 N/m. Find...Ch. 13 - A spring is hung from a ceiling, and an object...Ch. 13 - A biologist hangs a sample of mass 0.725 kg on a...Ch. 13 - An archer must exert a force of 375 N on the...Ch. 13 - A spring 1.50 m long with force constant 475 N/m...Ch. 13 - A block of mass m = 2.00 kg is attached to a...Ch. 13 - A slingshot consists of a light leather cup...Ch. 13 - An archer pulls her bowstring back 0.400 m by...Ch. 13 - A student pushes the 1.50-kg block in Figure...Ch. 13 - An automobile having a mass of 1.00 103 kg is...Ch. 13 - A 10.0-g bullet is fired into, and embeds itself...Ch. 13 - An object-spring system moving with simple...Ch. 13 - A horizontal block-spring system with the block on...Ch. 13 - A 0.250-kg block attached to a light spring...Ch. 13 - A block-spring system consists of a spring with...Ch. 13 - A 0.40-kg object connected to a light spring with...Ch. 13 - At an outdoor market, a bunch of bananas attached...Ch. 13 - A student stretches a spring, attaches a 1.00-kg...Ch. 13 - A horizontal spring attached to a wall has a force...Ch. 13 - An object moves uniformly around a circular path...Ch. 13 - The wheel in the simplified engine of Figure...Ch. 13 - The period of motion of an object-spring system is...Ch. 13 - A vertical spring stretches 3.9 cm when a 10.-g...Ch. 13 - When four people with a combined mass of 320 kg...Ch. 13 - The position of an object connected to a spring...Ch. 13 - A harmonic oscillator is described by the function...Ch. 13 - A 326-g object is attached to a spring and...Ch. 13 - An object executes simple harmonic motion with an...Ch. 13 - A 2.00-kg object on a frictionless horizontal...Ch. 13 - A spring of negligible mass stretches 3.00 cm from...Ch. 13 - Given that x = A cos (t) is a sinusoidal function...Ch. 13 - A man enters a tall tower, needing to know its...Ch. 13 - A simple pendulum has a length of 52.0 cm and...Ch. 13 - A seconds pendulum is one that moves through its...Ch. 13 - A clock is constructed so that it keeps perfect...Ch. 13 - A coat hanger of mass m = 0.238 kg oscillates on a...Ch. 13 - The free-fall acceleration on Mars is 3.7 m/s2....Ch. 13 - A simple pendulum is 5.00 in long. (a) What is the...Ch. 13 - The sinusoidal wave shown in Figure P13.41 is...Ch. 13 - An object attached to a spring vibrates with...Ch. 13 - Prob. 43PCh. 13 - The distance between two successive minima of a...Ch. 13 - A harmonic wave is traveling along a rope. It is...Ch. 13 - A bat can detect small objects, such as an insect,...Ch. 13 - Orchestra instruments are commonly tuned to match...Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Workers attach a 25.0-kg mass to one end of a...Ch. 13 - A piano siring of mass per unit length 5.00 103...Ch. 13 - A student taking a quiz finds on a reference sheet...Ch. 13 - Prob. 53PCh. 13 - An astronaut on the Moon wishes to measure the...Ch. 13 - A simple pendulum consists of a ball of mass 5.00...Ch. 13 - A string is 50.0 cm long and has a mass of 3.00 g....Ch. 13 - Tension is maintained in a string as in Figure...Ch. 13 - The elastic limit of a piece of steel wire is 2.70...Ch. 13 - A 2.65-kg power line running between two towers...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - The position of a 0.30-kg object attached to a...Ch. 13 - An object of mass 2.00 kg is oscillating freely on...Ch. 13 - Prob. 64APCh. 13 - A simple pendulum has mass 1.20 kg and length...Ch. 13 - A 0.500-kg block is released from rest and slides...Ch. 13 - A 3.00-kg object is fastened to a light spring,...Ch. 13 - A 5.00-g bullet moving with an initial speed of...Ch. 13 - A large block P executes horizontal simple...Ch. 13 - A spring in a toy gun has a spring constant of...Ch. 13 - A light balloon filled with helium of density...Ch. 13 - An object of mass m is connected to two rubber...Ch. 13 - Assume a hole is drilled through the center of the...Ch. 13 - Figure P13.74 shows a crude model of an insect...Ch. 13 - A 2.00-kg block hangs without vibrating at the end...Ch. 13 - A system consists of a vertical spring with force...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In a swimming pool there are 4 waves with amplitude of 4A, 3A, 3A and 2A and the phase constants are 0, π/2, π and 3π/2. Calculate the resulting amplitude as a function of of A, the phase constant of the resulting wave, and the wave function.arrow_forwardA wave of amplitude 0.50 m interferes with a second wave of amplitude 0.4 m traveling in the same direction. (a) What is the largest resultant amplitude that can arise, and under what conditions will this maximum occur? m b) What is the smallest resultant amplitude that can arise, and under what conditions will this minimum occur?marrow_forwardA wave of amplitude 0.40 m interferes with a second wave of amplitude 0.26 m traveling in the same direction. (a) What is the largest resultant amplitude that can arise, and under what conditions will this maximum occur? m (b) What is the smallest resultant amplitude that can arise, and under what conditions will this minimum occur? marrow_forward
- A wave of amplitude 0.20 m interferes with a second wave of amplitude 0.12 m traveling in the same direction. (a) What is the largest resultant amplitude that can arise, and under what conditions will this maximum occur? m(b) What is the smallest resultant amplitude that can arise, and under what conditions will this minimum occur? marrow_forwardA simple periodic wave disturbance with an amplitude of 8 units. travels in a line of particle in the positive x direction. At a given instant, the displacement , y = 10 cm from the origin is 6 units and that of a particle 25cm from the origin is 4 units. (Both particles being in a positive displacement) calculate the wavelength and amplitude of the disturbance.arrow_forwardQl: Consider the system shown in the figure which is excited from its base by a sinusoidal displacement y() =Ysin(ox) where Y is the amplitude of the base excitation, and wis the excitation frequency. k, = 1000 N/ m k k, = 200N/ m x(1) C =5Ns/m C2 m=1 kg v(1) a) Determine the equation of motion. b) Find the frequeney range at which the mass is vibrating with an amplitude of at least 0.05 m when Y =0.2m. Q2: Given: The single-degree-of-freedom system of interest is governed by the equation of motion: 3mä + 9kz = 2fofl cos Nt, where m denotes the system's effective mass, k denotes the system's effective stiffness, fo denotes the amplitude of an applied force, and N is the frequency of excitation. Find: (a) The natural frequency of the system; (b) The steady-state response of the system z,(t); andarrow_forward
- A wave of amplitude 20 cm and frequency 1000 Hz is traveling with a velocity of 310 m/s. (1) Calculate the displacement of a particle at a distance of 3.1 m from the origin after 1.004 s. (2) What would be the phase difference between two points in the path of the wave separated by 0.0775 m? (3) What would be the phase difference for two positions of a vibrating particle after an interval of 0.001 s?arrow_forwardA traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.5 cos(1.5x - 8.6t + 0.46). Calculate the phase constant in radians.arrow_forwardA string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate the speed of the progressive waves that result in the standing wave. Provide your answer in m/s.arrow_forward
- The period of oscillation T of a water surface wave isassumed to be a function of density ρ , wavelength l , depth h , gravity g , and surface tension Y . Rewrite this relationshipin dimensionless form. What results if Y is negligible?Hint: Take l , ρ , and g as repeating variables.arrow_forwardA wave is modeled by the wave function y(x,t) = (0.31m) sin[(2π/4.68m)(x-(14.03m/s)t)]. What is the period of the wave? Round your answer to 2 decimal places.arrow_forwardA model aircraft with an engine producing vibrations of constant frequency of ?0 =500 ?? flies at a constant speed in horizontal circle of radius ? = 15 ? and completes one revolution in 5.0 ?. An observer situated in the plane of the circle and 50 ? from its centre monitors the frequency of sound from the engine. Using the speed of sound in air as 340 m/s, calculate the maximum and minimum observed frequencies.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning