1 Introduction And Vectors 2 Motion In One Dimension 3 Motion In Two Dimensions 4 The Laws Of Motion 5 More Applications Of Newton’s Laws 6 Energy Of A System 7 Conservation Of Energy 8 Momentum And Collisions 9 Relativity 10 Rotational Motion 11 Gravity, Planetary Orbits, And The Hydrogen Atom 12 Oscillatory Motion 13 Mechanical Waves 14 Superposition And Standing Waves 15 Fluid Mechanics 16 Temperature And The Kinetic Theory Of Gases 17 Energy In Thermal Processes: The First Law Of Thermodynamics 18 Heat Engines, Entropy, And The Second Law Of Thermodynamics 19 Electric Forces And Electric Fields 20 Electric Potential And Capacitance 21 Current And Direct Current Circuits 22 Magnetic Forces And Magnetic Fields 23 Faraday’s Law And Inductance 24 Electromagnetic Waves 25 Reflection And Refraction Of Light 26 Image Formation By Mirrors And Lenses 27 Wave Optics 28 Quantum Physics 29 Atomic Physics 30 Nuclear Physics 31 Particle Physics Chapter12: Oscillatory Motion
12.1 Motion Of An Object Attached To A Spring 12.2 Analysis Model: Particle In Simple Harmonic Motion 12.3 Energy Of The Simple Harmonic Oscillator 12.4 The Simple Pendulum 12.5 The Physical Pendulum 12.6 Damped Oscillations 12.7 Forced Oscillations 12.8 Context Connection: Resonance In Structures Chapter Questions Section: Chapter Questions
Problem 1OQ: Which of the following statements is not true regarding a massspring system that moves with simple... Problem 2OQ Problem 3OQ Problem 4OQ Problem 5OQ Problem 6OQ Problem 7OQ: If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the... Problem 8OQ Problem 9OQ Problem 10OQ Problem 11OQ Problem 12OQ Problem 13OQ Problem 14OQ: You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move... Problem 15OQ Problem 1CQ Problem 2CQ: The equations listed in Table 2.2 give position as a function of time, velocity as a function of... Problem 3CQ Problem 4CQ Problem 5CQ Problem 6CQ Problem 7CQ: The mechanical energy of an undamped blockspring system is constant as kinetic energy transforms to... Problem 8CQ Problem 9CQ Problem 10CQ Problem 11CQ Problem 12CQ Problem 13CQ: Consider the simplified single-piston engine in Figure CQ12.13. Assuming the wheel rotates with... Problem 1P: A 0.60-kg block attached to a spring with force constant 130 N/m is free to move on a frictionless,... Problem 2P: When a 4.25-kg object is placed on top of a vertical spring, the spring compresses a distance of... Problem 3P: The position of a particle is given by the expression x = 4.00 cos {3.00 t + }, where x is in meters... Problem 4P: You attach an object to the bottom end of a hanging vertical spring. It hangs at rest alter... Problem 5P: A 7.00-kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. The... Problem 6P Problem 7P Problem 8P Problem 9P Problem 10P: A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a... Problem 11P Problem 12P Problem 13P: A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic... Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according... Problem 15P: A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on... Problem 16P: A blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the... Problem 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes... Problem 18P Problem 19P Problem 20P: A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period... Problem 21P: A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude... Problem 22P Problem 23P Problem 24P Problem 25P Problem 26P Problem 27P Problem 28P Problem 29P: The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in... Problem 30P: A small object is attached to the end of a string to form a simple pendulum. The period of its... Problem 31P: A very light rigid rod of length 0.500 m extends straight out from one end of a meter-stick. The... Problem 32P: A particle of mass m slides without friction inside a hemispherical bowl of radius R. Show that if... Problem 33P: Review. A simple pendulum is 5.00 m long. What is the period of small oscillations for this pendulum... Problem 34P Problem 35P Problem 36P: Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by... Problem 37P Problem 38P Problem 39P Problem 40P Problem 41P Problem 42P Problem 43P Problem 44P Problem 45P: Four people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake... Problem 46P Problem 47P Problem 48P Problem 49P Problem 50P Problem 51P Problem 52P Problem 53P Problem 54P Problem 55P Problem 56P: A block of mass m is connected to two springs of force constants k1 and k2 in two ways as shown in... Problem 57P: Review. One end of a light spring with force constant k = 100 N/m is attached to a vertical wall. A... Problem 58P Problem 59P: A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is... Problem 60P Problem 61P Problem 62P Problem 63P Problem 64P: A smaller disk of radius r and mass m is attached rigidly to the face of a second larger disk of... Problem 65P: A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h... Problem 66P: Consider the damped oscillator illustrated in Figure 12.16a. The mass of the object is 375 g, the... Problem 67P: An object of mass m1 = 9.00 kg is in equilibrium when connected to a light spring of constant k =... Problem 68P Problem 69P: A block of mass M is connected to a spring of mass m and oscillates in simple harmonic motion on a... Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
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Concept explainers
A 0.1 kg object oscillates as a simple harmonic motion along the ? −axis with a frequency ? = 3.185 Hz.
At a position ?1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of
oscillation, ?,
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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