R Review Of Prerequisites 1 Functions And Relations 2 Polynomial And Rational Functions 3 Exponential And Logarithmic Functions 4 Trigonometric Functions 5 Analytic Trigonometry 6 Applications Of Trigonometric Functions 7 Trigonometry Applied To Polar Coordinate Systems And Vectors 8 Systems Of Equations And Inequalities 9 Matrices And Determinants And Applications 10 Analytic Geometry 11 Sequences, Series, Induction, And Probability expand_more
6.1 Applications Of Right Triangles 6.2 The Law Of Sines 6.3 The Law Of Cosines 6.4 Harmonic Motion Chapter Questions expand_more
Problem 1SP: Suppose the block from Example 1 is initially pulled 6 in. below the equilibrium position. Repeat... Problem 2SP: Repeat Example 2 with a Ferris wheel 120ft in diameter that completes one revolution in 1.25min . Problem 3SP: Two spring-mass systems have an initial displacement of 6cm and then oscillate at 0.25Hz . The... Problem 1PE: The of an object in simple harmonic motion is the amount of time required for one complete cycle. Problem 2PE: For an object in simple harmonic motion, the number of cycles per unit time is called the . Problem 3PE: Given an object in damped harmonic motion, the amplitude (increases/decreases) with time. Problem 4PE: The term "ultrasound" refers to sound waves of a frequency greater than those detectable by the... Problem 5PE: The frequency of middle C on a piano is. 264Hz . What is the time required for one complete cycle? Problem 6PE: If the displacement d of an object moving under simple harmonic motion is maximized at time t=0 ,... Problem 7PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 8PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 9PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 10PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 11PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 12PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 13PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 14PE: For Exercises 7-14, suppose that an object moves in simple harmonic motion with displacement d (in... Problem 15PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 16PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 17PE Problem 18PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 19PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 20PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 21PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 22PE: For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given... Problem 23PE: A block hangs on a spring attached to the ceiling and is pulled down 5in . below its equilibrium... Problem 24PE: The bob on a simple pendulum is pulled to the left 4 in. from its equilibrium position. After... Problem 25PE Problem 26PE: The blood pressure p for a certain individual follows a pattern of simple harmonic motion during the... Problem 27PE: A Ferris wheel at a county Fair is 180ft in diameter with its lowest point 2.5ft off the ground.... Problem 28PE: The 30-ft diameter waterwheel at Deleon Springs State Park is an old sugar mill that turns at a rate... Problem 29PE: Refer to the piston and crankshaft from Exercise 25. The stroke length of the engine is 4 in. and... Problem 30PE: A laboratory centrifuge is a piece of equipment that spins blood samples at a high speed to separate... Problem 31PE: An alternating current generator generates current with a frequency of 60Hz . Suppose that... Problem 32PE: An alternating current generator in the United Kingdom generates current with a frequency of 50Hz .... Problem 33PE Problem 34PE Problem 35PE: The brightness of a "young" star sometimes increases and decreases as a result of regional areas of... Problem 36PE: The magnitude of a star named Delta Cuphea varies from an apparent magnitude of 3.6 to an apparent... Problem 37PE: For Exercises 37-38, the ordered pair t,d gives the displacement d (in centimeters) of an object... Problem 38PE: For Exercises 37-38, the ordered pair t,d gives the displacement d (in centimeters) of an object... Problem 39PE: Write a function y=ft for simple harmonic motion whose graph has a minimum at 4,6 and next... Problem 40PE: Write a function y=ft for simple harmonic motion whose graph has a maximum at 3,8 and next... Problem 41PE: Use a graphing utility to graph the functions of the form d=aacost and comment on the role of the... Problem 42PE Problem 43PE Problem 44PE: For Exercises 43-46, use a graphing utility to graph the function and bounding curves for t0 .... Problem 45PE: For Exercises 43-46, use a graphing utility to graph the function and bounding curves for t0 .... Problem 46PE: For Exercises 43-46, use a graphing utility to graph the function and bounding curves for t0 .... Problem 47PE: Suppose that a guitar string is plucked such that the center of the string is initially displaced... Problem 48PE: A tuning fork is struck, and the tips of the prongs (tines) are initially displaced 0.4mm from their... Problem 49PE: Explain the criteria under which you would choose the model d=sint versus d=acost to represent the... Problem 50PE: Explain the difference between an object moving in simple harmonic motion versus damped harmonic... Problem 51PE Problem 52PE Problem 53PE Problem 54PE: For Exercises 53-54, use the model d=aectcost or d=abktcoswt to represent damped harmonic motion. A... Problem 55PE: In a course in differential equations or physics, a more specific model for a mass moving in damped... Problem 56PE: In a course in differential equations or physics, a more specific model for a mass moving in damped... Problem 57PE: Given the model d2006tcos2t . for an object in damped harmonic motion, a. Determine the initial... Problem 58PE: Given the model d=804tcost for an object in damped harmonic motion, a. Determine the initial... Problem 59PE: Given a point on the Earth of latitude a, the angle of elevation of the Sun is at its minimum of... Problem 60PE: Given a point on the Earth of latitude a, the angle of elevation of the Sun is at its minimum of... format_list_bulleted