The equation of motion for the system of Fig. P2.59 with Coulomb damping can be written as m + kx - mu F sgn( ) where sgn ( ) = plus minus 1 (i.e., sgn ( ) = +1 when is positive and -1 when is negative) The general solution to this equation is x(t) = A sin omega mt + B cos omega mt + mu F / k sgn ( ) Evaluate the constants A and B if the motion is started with the initial conditions x(0) = x0 and (0) = 0.