Harmonic Oscillator With and Without Friction (mass on a spring)

[quark12]

Homework Statement

A mass m connected to a spring with coefficient k, which is connected to a wall in its other side.The mass is on a horizontal surface and has been displaced a distancex0to the right from equilibrium.At t= 0the mass was released.Find the equation of motion (differential equation) and its solution (in terms of k,x0, and m only) for the following cases:a. No friction.b. The friction between the mass and the surface is given by−→F=−b−→v, where b is the friction coefficient and−→v is the velocity of the mass.

Relevant Equations

F=-kx

 

[berkeman]

Homework Statement:: A mass m connected to a spring with coefficient k, which is connected to a wall in its other side.The mass is on a horizontal surface and has been displaced a distancex0to the right from equilibrium.At t= 0the mass was released.Find the equation of motion (differential equation) and its solution (in terms of k,x0, and m only) for the following cases:a. No friction.b. The friction between the mass and the surface is given by−→F=−b−→v, where b is the friction coefficient and−→v is the velocity of the mass.
Relevant Equations:: F=-kx

View attachment 272952

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