1 Getting Started 2 One Dimensional Motion 3 Vectors 4 Two-and-three Dimensional Motion 5 Newton's Laws Of Motion 6 Applications Of Newton’s Laws Of Motion 7 Gravity 8 Conservation Of Energy 9 Energy In Nonisolated Systems 10 Systems Of Particles And Conservation Of Momentum 11 Collisions 12 Rotation I: Kinematics And Dynamics 13 Rotation Ii: A Conservation Approach 14 Static Equilibrium, Elasticity, And Fracture 15 Fluids 16 Oscillations 17 Traveling Waves 18 Superposition And Standing Waves 19 Temperature, Thermal Expansion And Gas Laws 20 Kinetic Theory Of Gases 21 Heat And The First Law Of Thermodynamics 22 Entropy And The Second Law Of Thermodynamics 23 Electric Forces 24 Electric Fields 25 Gauss’s Law 26 Electric Potential 27 Capacitors And Batteries 28 Current And Resistance 29 Direct Current (dc) Circuits 30 Magnetic Fields And Forces 31 Gauss’s Law For Magnetism And Ampère’s Law 32 Faraday’s Law Of Induction 33 Inductors And Ac Circuits 34 Maxwell’s Equations And Electromagnetic Waves 35 Diffraction And Interference 36 Applications Of The Wave Model 37 Reflection And Images Formed By Reflection 38 Refraction And Images Formed By Refraction 39 Relativity Chapter16: Oscillations
16.1 Picturing Harmonic Motion 16.2 Kinematic Equations Of Simple Harmonic Motion 16.3 Connection With Circular Motion 16.4 Dynamics Of Simple Harmonic Motion 16.5 Special Case: Object–spring Oscillator 16.6 Special Case: Simple Pendulum 16.7 Special Case: Physical Pendulum 16.8 Special Case: Torsion Pendulum 16.9 Energy In Simple Harmonic Motion 16.10 Damped Harmonic Motion 16.11 Driven Oscillators Chapter Questions Section: Chapter Questions
Problem 1PQ: Case Study For each velocity listed, state the position and acceleration of the rubber disk in Crall... Problem 2PQ: Case Study For each acceleration listed, state the position and velocity of the disk in Crall and... Problem 3PQ Problem 4PQ Problem 5PQ Problem 6PQ Problem 7PQ: The equation of motion of a simple harmonic oscillator is given by x(t) = (18.0 cm) cos (10t) (16.0... Problem 8PQ: The expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time,... Problem 9PQ: A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its... Problem 10PQ Problem 11PQ: A 1.50-kg mass is attached to a spring with spring constant 33.0 N/m on a frictionless, horizontal... Problem 12PQ Problem 13PQ Problem 14PQ: When the Earth passes a planet such as Mars, the planet appears to move backward for a time, a... Problem 15PQ: A point on the edge of a childs pinwheel is in uniform circular motion as the wheel spins... Problem 16PQ Problem 17PQ Problem 18PQ: A jack-in-the-box undergoes simple harmonic motion after it pops out of its box with a frequency of... Problem 19PQ: C, N A uniform plank of length L and mass M is balanced on a fixed, semicircular bowl of radius R... Problem 20PQ Problem 21PQ: A block of mass m = 5.94 kg is attached to a spring with spring constant k = 1592 N/m and rests on a... Problem 22PQ: A block of mass m rests on a frictionless, horizontal surface and is attached to two springs with... Problem 23PQ: It is important for astronauts in space to monitor their body weight. In Earth orbit, a simple scale... Problem 24PQ Problem 25PQ: A spring of mass ms and spring constant k is attached to an object of mass M and set into simple... Problem 26PQ: In an undergraduate physics lab, a simple pendulum is observed to swing through 75 complete... Problem 27PQ: A simple pendulum of length L hangs from the ceiling of an elevator. a. While the elevator is moving... Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement... Problem 29PQ Problem 30PQ Problem 31PQ Problem 32PQ Problem 33PQ Problem 34PQ: Show that angular frequency of a physical pendulum phy=mgrCM/I (Eq. 16.33) equals the angular... Problem 35PQ: A uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around... Problem 36PQ: A child works on a project in art class and uses an outline of her hand on a sheet of construction... Problem 37PQ Problem 38PQ Problem 39PQ: In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe,... Problem 40PQ Problem 41PQ: A restaurant manager has decorated his retro diner by hanging (scratched) vinyl LP records from thin... Problem 42PQ Problem 43PQ: A wooden block (m = 0.600 kg) is connected to a spring and undergoes simple harmonic motion with an... Problem 44PQ Problem 45PQ Problem 46PQ Problem 47PQ Problem 48PQ Problem 49PQ: A car of mass 2.00 103 kg is lowered by 1.50 cm when four passengers, each of mass 70.0 kg, sit... Problem 50PQ Problem 51PQ Problem 52PQ Problem 53PQ Problem 54PQ Problem 55PQ Problem 56PQ Problem 57PQ Problem 58PQ: An ideal simple harmonic oscillator comprises a 255-g ball hanging from a lightweight, vertical... Problem 59PQ: Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch... Problem 60PQ: Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position... Problem 61PQ: Consider the position data for the block given in Table P16.59. What are the signs of the blocks... Problem 62PQ Problem 63PQ Problem 64PQ: Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a.... Problem 65PQ: Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a.... Problem 66PQ: A mass on a spring undergoing simple harmonic motion completes 4.00 cycles in 14.0 s. a. What is the... Problem 67PQ: A particle initially located at the origin undergoes simple harmonic motion, moving first in the... Problem 68PQ: Consider the system shown in Figure P16.68 as viewed from above. A block of mass m rests on a... Problem 69PQ Problem 70PQ Problem 71PQ Problem 72PQ Problem 73PQ: Determine the period of oscillation of a simple pendulum of length L suspended from the ceiling of a... Problem 74PQ: The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the... Problem 75PQ: A spherical bob of mass m and radius R is suspended from a fixed point by a rigid rod of negligible... Problem 76PQ Problem 77PQ: A lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on... Problem 78PQ: Determine the angular frequency of oscillation of a thin, uniform, vertical rod of mass m and length... Problem 79PQ Problem 80PQ: A Two springs, with spring constants k1 and k2, are connected to a block of mass m on a... Problem 81PQ Problem 82PQ Problem 5PQ
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A block of mass m=6 kg is suspended vertically from a spring. The time it takes for the block to complete 10 oscillations is 30 s. The amplitude of oscillations is A=15 cm. What is the frequency of the simple harmonic motion ? What is the spring constant of the spring?
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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