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166. Harmonic Motion The displacement from equilibrium of an object in harmonic motion on the end of a spring is 1 sin 12r y cos 12t %3D - where y is measured in feet and t is the time in seconds. Determine the position and velocity of the object when 1 = T/8. 167. Pendulum A 15-centimeter pendulum moves according to the equation 0 = 0.2 cos 81, where 0 is the angular displacement from the vertical in radians and r is the time in seconds. Determine the maximum angular displacement and the rate of change of 0 when 1 = 3 seconds. |3D 168. Wave Motion A buoy oscillates in simple harmonic motion y A cos ot as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. (a) Write an equation describing the motion of the buoy if it high point

166. Harmonic Motion The displacement from equilibrium of an object in harmonic motion on the end of a spring is 1 sin 12r y cos 12t %3D - where y is measured in feet and t is the time in seconds. Determine the position and velocity of the object when 1 = T/8. 167. Pendulum A 15-centimeter pendulum moves according to the equation 0 = 0.2 cos 81, where 0 is the angular displacement from the vertical in radians and r is the time in seconds. Determine the maximum angular displacement and the rate of change of 0 when 1 = 3 seconds. |3D 168. Wave Motion A buoy oscillates in simple harmonic motion y A cos ot as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. (a) Write an equation describing the motion of the buoy if it high point

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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Transcendental%20Functions- i%20(4).pdf 166. Harmonic Motion The displacement from equilibrium of an object in harmonic motion on the end of a spring is cos 121 sin 12r 4 y = where y is measured in feet and is the time in seconds. Determine the position and velocity of the object when 1 = T/8. 167. Pendulum A 15-centimeter pendulum moves according to the equation 0 = 0.2 cos 81, where is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement and the rate of change of 0 when t = 3 seconds. 168. Wave Motion motion y A buoy oscillates in simple harmonic A cos ot as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. (a) Write an equation deseribing the motion of the buoy if it is at its hisoh point at =
Transcribed Image Text:Transcendental%20Functions- i%20(4).pdf 166. Harmonic Motion The displacement from equilibrium of an object in harmonic motion on the end of a spring is cos 121 sin 12r 4 y = where y is measured in feet and is the time in seconds. Determine the position and velocity of the object when 1 = T/8. 167. Pendulum A 15-centimeter pendulum moves according to the equation 0 = 0.2 cos 81, where is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement and the rate of change of 0 when t = 3 seconds. 168. Wave Motion motion y A buoy oscillates in simple harmonic A cos ot as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. (a) Write an equation deseribing the motion of the buoy if it is at its hisoh point at =
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