Aspring with spring constant 8 newtons per meteis atached to the ceiling. a2kg mass is attached to the spring. how far does the spring stretich (to its new equilibrium length b. the mass-spring system of the previous problem is set in motion in a medium that imparts a damping force numerically equal to 8 times the velocity. the mass is started from the equilibrium position with a downward velocity of 4 centimeters per sccond. am extermal force f) 12sin newtons is applied to the system. state the differential equation describing the motion of this spring mass system. as part of your work, state the constants for mass and damping, and the spring constant with their correct units. find the general solution of this de of motion for this spring mass system (with arbitrary constants). you can use either undetermined coefficients or variation of parameters to find the particular solution part of your general solution, but show clear work following the pattem shown in your notes. also be sure to state the particular solution clearly. d. clearly state the initial conditions from part b above, inclading the units e. determine the particular solution of this de that satisfies these initial conditions.