Oscillating motion A mass hanging from a spring is set inmotion, and its ensuing velocity is given by v(t) = 27 cos Tt,for t 2 0. Assume that the positive direction is upward and thats(0) = 0.a. Determine the position function, for t 2 0.b. Graph the position function on the interval [0, 4].c. At what times does the mass reach its low point the first threetimes?d. At what times does the mass reach its high point the first threetimes?

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Answered: Oscillating motion A mass hanging from…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 27P: Each piston of an engine makes a sharp sound every other revolution of the engine. (a) How fast is a...

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This is a diagram showing the position-time graph for a mass that is oscillating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle. a. What is the direction of the net force at position 1? What direction is the acceleration? b. What is the net force at position 2? What is the acceleration? c. What is the direction of the net force at position 3? What direction is the acceleration?
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A mass of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released. a. What is the frequency of its oscillation? Include units in your answer. b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amount.
A mass of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released. a. What is the frequency of its oscillation? Include units in your answer. b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amount. PLEASE ANSWER IN HANDWRITING THANKS!!!!
In Problem,the displacement d (in meters) of an object at time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its resting position? (c) What is the time required for one oscillation? (d) What is the frequency?
The photo shows the position-time graph for a mass that is oscillating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle. a. What is the net force and acceleration at position 2? b. What are the directions of the net force and acceleration at position 3? c. At which position, 1, 2, or 3, does the mass have the greatest velocity, and at which position does the mass have the greatest acceleration?
A mass oscillates on a spring, bouncing up and down 20 times per second. From the highest position to the lowest position of the mass is a distance of 8cm. A) What is the amplitude of the oscillation? B) What is the frequency? C) What is the period of oscillation? D) How many times will the mass oscillate in 12 seconds?
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