Please answer all the questions. Thank you

A 5-kg mass is attached to a spring with stiffness 25 N/m. The damping constant for the system is 2 N-sec/m. If the 3 25 mass is moved - m to the left of equilibrium and given an initial leftward velocity of _ m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? y(t) = west cos (10t) - e- 5t sin (10t) (Type an exact answer, using radicals as needed.) The damping factor is| A 5-kg mass is attached to a spring with stiffness 135 N/m. The damping constant for the system is 3013 N-sec/m. If the mass is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain? The maximum displacement is meters. (Type an exact answer, using radicals as needed.) A mass attached to a spring oscillates with a period of 6 sec. After 3 kg are added, the period becomes 7 sec. Assuming that we can neglect any damping or external forces, determine how much mass was originally attached to the spring. The original mass was kg. (Type an exact answer, using radicals as needed.) K Solve the given initial value problem. y" - 5y' + 4y=0; y(0 ) = 5. y'(0 ) = - 2 Inc The solution is y(t) =