A mass of 10 kgs hangs from a spring with spring constant k = 136, and is attached toa viscous damper that exerts a force of 8 N when the velocity of the mass is 2 m/s.(a)Find the function u(t) that describes the motion of the mass if it is pulled 20cms down from its equilibrium and released.(b)Find the function v(t) that describes the motion of the mass, if starting atequilibrium, it is acted on by an external force F(t) = 6cos(4t). What is the amplitude ofthe steady state solution?

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A mass of 10 kgs hangs from a spring with spring constant k = 136, and is attached to a viscous damper that exerts a force of 8 N when the velocity of the mass is 2 m/s. %3D (a) Find the function u(t) that describes the motion of the mass if it is pulled 2O cms down from its equilibrium and released. (b) Find the function v(t) that describes the motion of the mass, if starting at equilibrium, it is acted on by an external force F(t) = 6cos(4t). What is the amplitude of the steady state solution?

A mass of 10 kgs hangs from a spring with spring constant k = 136, and is attached to a viscous damper that exerts a force of 8 N when the velocity of the mass is 2 m/s. %3D (a) Find the function u(t) that describes the motion of the mass if it is pulled 2O cms down from its equilibrium and released. (b) Find the function v(t) that describes the motion of the mass, if starting at equilibrium, it is acted on by an external force F(t) = 6cos(4t). What is the amplitude of the steady state solution?

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 29P: A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the...

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Question

A mass of 10 kgs hangs from a spring with spring constant k = 136, and is attached to
a viscous damper that exerts a force of 8 N when the velocity of the mass is 2 m/s.
(a)
Find the function u(t) that describes the motion of the mass if it is pulled 20
cms down from its equilibrium and released.
(b)
Find the function v(t) that describes the motion of the mass, if starting at
equilibrium, it is acted on by an external force F(t) = 6cos(4t). What is the amplitude of
the steady state solution?

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