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.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.27P
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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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