A 2.0 kg mass hangs from a spring having spring constant k = 18.0 N/m. There is

Question

A 2.0 kg mass hangs from a spring having spring constant k = 18.0 N/m. There is no damping force. Initially the mass is motionless at the equilibrium position. Beginning at t = 0 an external force given by f(t) = 2sin(2t)sin(3t) acts on the mass. a) Assuming a downward pointing coordinate axis, write the differential equation and initial conditions that describe the motion of the mass. b) Find the solution of the IVP in part a. (Note: the forcing term f(t) given above is not one of the types listed for the method of undetermined coefficients. But it can be rewritten so that it is, by using trig identities.

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