A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 7 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/1/201 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 25 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)

A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 7 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/1/201 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 25 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter3: The Quantum Theroy Of Light

Section3.2: Blackbody Radiation

Problem 3E: An object of mass m on a spring of stiffness k oscillates with an amplitude A about its equilibrium...

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