College Physics 10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Introduction 2 Motion In One Dimension 3 Vectors And Two-Dimensional Motion 4 The Laws Of Motion 5 Energy 6 Momentum And Collisions 7 Rotational Motion And The Law Of Gravity 8 Rotational Equilibrium And Rotational Dynamics 9 Solids And Fluids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Electric Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles Chapter13: Vibrations And Waves
13.1 Hooke's Law 13.2 Elastic Potential Energy 13.3 Comparing Simple Harmonic Motion With Uniform Circular Motion 13.4 Position, Velocity, And Acceleration As A Function Of Time 13.5 Motion Of A Pendulum 13.6 Damped Oscillations 13.7 Waves 13.8 Frequency, Amplitude, And Wavelength 13.9 The Speed Of Waves On Strings 13.10 Interference Of Waves 13.11 Reflection Of Waves Chapter Questions Section: Chapter Questions
Problem 1CQ: An objectspring system undergoes simple harmonic motion with an amplitude A. Does the total energy... Problem 2CQ: If an objectspring system is hung vertically and set into oscillation, why does the motion... Problem 3CQ: The spring in Figure CQ13.3 is stretched from its equilibrium position at x = 0 to a positive... Problem 4CQ: If the spring constant shown in Figure CQ13.3 is doubled to 2k0, determine (a) the ratio of the new... Problem 5CQ: If the spring shown in Figure CQ13.3 is com pressed rather than stretched so that x = x0, determine... Problem 6CQ: If a spring is cut in half, what happens to its spring constant? Problem 7CQ: A pendulum bob is made from a sphere filled with water. What would happen to the frequency of... Problem 8CQ: A block connected to a horizontal spring is in simple harmonic motion on a level, frictionless... Problem 9CQ: (a) Is a bouncing ball an example of simple harmonic motion? (b) Is the daily movement of a student... Problem 10CQ: If a grandfather clock were running slow, how could we adjust the length of the pendulum to correct... Problem 11CQ: What happens to the speed of a wave on a string when the frequency is doubled? Assume the tension in... Problem 12CQ Problem 13CQ: Waves are traveling on a uniform string under tension. For each of the following changes, is the... Problem 14CQ: Identify each of the following waves as either transverse or longitudinal: (a) The waves on a... Problem 1P: A block, of mass m = 0.60 kg attached to a spring with force; constant 130 N/m is free to move on a... Problem 2P: A spring oriented vertically is attached to a hard horizontal surface as in Figure P13.2. The spring... Problem 3P: The force constant of a spring is 137 N/m. Find the magnitude of the force required to (a) compress... Problem 4P: A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a... Problem 5P: A biologist hangs a sample of mass 0.725 kg on a pair of identical, vertical springs in parallel and... Problem 6P: An archer must exert a force of 375 N on the bowstring shown in Figure P13.6a such that the siring... Problem 7P: A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a... Problem 8P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 5.00 102 N/m that lies on... Problem 9P: A slingshot consists of a light leather cup containing a stone. The cup is pulled back against two... Problem 10P: An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to... Problem 11P: A student pushes the 1.50-kg block in Figure P13.11 against a horizontal spring, compressing it by... Problem 12P: An automobile having a mass of 1.00 103 kg is driven into a brick wall in a safety test. The bumper... Problem 13P: A 10.0-g bullet is fired into, and embeds itself in, a 2.00-kg block attached to a spring with a... Problem 14P: An object-spring system moving with simple harmonic motion has an amplitude A. (a) What is the total... Problem 15P: A horizontal block-spring system with the block on a frictionless surface has total mechanical... Problem 16P: A 0.250-kg block attached to a light spring oscillates on a frictionless, horizontal table. The... Problem 17P: A block-spring system consists of a spring with constant k = 425 N/m attached to a 2.00-kg block on... Problem 18P: A 0.40-kg object connected to a light spring with a force constant of 19.6 N/m oscillates on a... Problem 19P: At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force... Problem 20P: A student stretches a spring, attaches a 1.00-kg mass to it, and releases the mass from rest on a... Problem 21P: A horizontal spring attached to a wall has a force constant of k = 8.50 102 N/m. A block of mass m... Problem 22P: An object moves uniformly around a circular path of radius 20.0 cm, making one complete revolution... Problem 23P: The wheel in the simplified engine of Figure P13.23 has radius A = 0.250 m and rotates with angular... Problem 24P: The period of motion of an object-spring system is T = 0.528 s when an object of mass m = 238 g is... Problem 25P: A vertical spring stretches 3.9 cm when a 10.-g object is hung from it. The object is replaced with... Problem 26P: When four people with a combined mass of 320 kg sit down in a 2.0 103-kg car, they find that their... Problem 27P: The position of an object connected to a spring varies with time according to the expression x =... Problem 28P: A harmonic oscillator is described by the function x(t) = (0.200 m) cos (0.350t). Find the... Problem 29P: A 326-g object is attached to a spring and executes simple harmonic motion with a period of 0.250 s.... Problem 30P: An object executes simple harmonic motion with an amplitude A. (a) At what values of its position... Problem 31P: A 2.00-kg object on a frictionless horizontal track is attached to the end of a horizontal spring... Problem 32P: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is... Problem 33P: Given that x = A cos (t) is a sinusoidal function of time, show that v (velocity) and a... Problem 34P: A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from... Problem 35P: A simple pendulum has a length of 52.0 cm and makes 82.0 complete oscillations in 2.00 min. Find (a)... Problem 36P: A seconds pendulum is one that moves through its equilibrium position once each second. (The period... Problem 37P: A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000... Problem 38P: A coat hanger of mass m = 0.238 kg oscillates on a peg as a physical pendulum as shown in Figure... Problem 39P: The free-fall acceleration on Mars is 3.7 m/s2. (a) What length of pendulum has a period of 1.0 s on... Problem 40P: A simple pendulum is 5.00 in long. (a) What is the period of simple harmonic motion for this... Problem 41P: The sinusoidal wave shown in Figure P13.41 is traveling in the positive x-direction and has a... Problem 42P: An object attached to a spring vibrates with simple harmonic motion as described by Figure P13.42.... Problem 43P Problem 44P: The distance between two successive minima of a transverse wave is 2.76 m. Five crests of the wave... Problem 45P: A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the... Problem 46P: A bat can detect small objects, such as an insect, whose size is approximately equal to one... Problem 47P: Orchestra instruments are commonly tuned to match an A-note played by the principal oboe. The... Problem 48P Problem 49P Problem 50P: Workers attach a 25.0-kg mass to one end of a 20.0-in long cable and secure the other end to the top... Problem 51P: A piano siring of mass per unit length 5.00 103 kg/m is under a tension of 1 350 N. Find the speed... Problem 52P: A student taking a quiz finds on a reference sheet the two equations f=1Tandv=T She has forgotten... Problem 53P Problem 54P: An astronaut on the Moon wishes to measure the local value of g by timing pulses traveling down a... Problem 55P: A simple pendulum consists of a ball of mass 5.00 kg hanging from a uniform string of mass 0.060 0... Problem 56P: A string is 50.0 cm long and has a mass of 3.00 g. A wave travels at 5.00 m/s along this string. A... Problem 57P: Tension is maintained in a string as in Figure P13.57. The observed wave speed is v = 24.0 m/s when... Problem 58P: The elastic limit of a piece of steel wire is 2.70 109 Pa. What is the maximum speed at which... Problem 59P: A 2.65-kg power line running between two towers has a length of 38.0 m and is under a tension of... Problem 60P Problem 61P Problem 62AP: The position of a 0.30-kg object attached to a spring is described by x = (0.25 m) cos (0.47t) Find... Problem 63AP: An object of mass 2.00 kg is oscillating freely on a vertical spring with a period of 0.600 s.... Problem 64AP Problem 65AP: A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near... Problem 66AP: A 0.500-kg block is released from rest and slides down a frictionless track that begins 2.00 m above... Problem 67AP: A 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley... Problem 68AP: A 5.00-g bullet moving with an initial speed of 400. m/s is fired into and passes through a 1.00-kg... Problem 69AP: A large block P executes horizontal simple harmonic motion as it slides across a frictionless... Problem 70AP: A spring in a toy gun has a spring constant of 9.80 N/m and can be compressed 20.0 cm beyond the... Problem 71AP: A light balloon filled with helium of density 0.179 kg/m3 is tied to a light string of length L =... Problem 72AP: An object of mass m is connected to two rubber bands of length L, each under tension F, as in Figure... Problem 73AP: Assume a hole is drilled through the center of the Earth. It can be shown that an object of mass m... Problem 74AP: Figure P13.74 shows a crude model of an insect wing. The mass m represents the entire mass of the... Problem 75AP: A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to... Problem 76AP: A system consists of a vertical spring with force constant k = 1 250 N/m, length L = 1.50 m, and... Problem 32P: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is...
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32
Find the period of a pendulum undergoing Simple Harmonic Motion if the length of the string attached to the swinging mass is 5.40 m.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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