From a differential equations class: A mass of 6kg stretches a spring 15cm. The mass is acted on by an external force of 7*sin(t/2) Newtons and moves in a medium that imparts a viscous force of 3Newtons when the speed of the mass is 9cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 2cm/s, determine the position u of the mass at any time t. Use 9.8m/s2 as the acceleration due to gravity. Pay close attention to the units. The answer should be a function u(t), and the function should output in meters.
From a differential equations class: A mass of 6kg stretches a spring 15cm. The mass is acted on by an external force of 7*sin(t/2) Newtons and moves in a medium that imparts a viscous force of 3Newtons when the speed of the mass is 9cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 2cm/s, determine the position u of the mass at any time t. Use 9.8m/s2 as the acceleration due to gravity. Pay close attention to the units. The answer should be a function u(t), and the function should output in meters.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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From a differential equations class:
A mass of 6kg stretches a spring 15cm. The mass is acted on by an external force of 7*sin(t/2) Newtons and moves in a medium that imparts a viscous force of 3Newtons when the speed of the mass is 9cm/s.
If the mass is set in motion from its equilibrium position with an initial velocity of 2cm/s, determine the position u of the mass at any time t. Use 9.8m/s2 as the acceleration due to gravity. Pay close attention to the units.
The answer should be a function u(t), and the function should output in meters.
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