A mass of 6 kg stretches a spring 12 cm. The mass is acted on by an external force of 3 sin(t/2) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 12 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 5 cm/s, determine the position u of the mass at any time t. Use 9.8 m/s as the acceleration due to gravity. Pay close attention to the units. u(t) =

A mass of 6 kg stretches a spring 12 cm. The mass is acted on by an external force of 3 sin(t/2) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 12 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 5 cm/s, determine the position u of the mass at any time t. Use 9.8 m/s as the acceleration due to gravity. Pay close attention to the units. u(t) =

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Description: A mass of 6 kg stretches a spring 12 cm. The mass is acted on by an external force of 3 sin(t/2) N and moves in a medium that imparts aviscous force of 4 N when the speed of the mass is 12 cm/s.If the mass is set in motion from its equilibrium posit

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.34P: Consider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function...

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Consider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.
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