(Solved): The mass, spring, and damper system shown below is at rest at t=0. Force F is applied to the syste ...

The mass, spring, and damper system shown below is at rest at t=0. Force F is applied to the system, and the equation of motion can be written as: dx (t) F(t) = m d²x(t) dt² + c + kx(t) dt Considering the mass of 2 kg, spring stiffness of 12 N/m, and damper coefficient of 10 N.s/m: • Determine the Transfer Function. (5 marks) • Find the zeros and poles of the transfer function. (1 mark) • Is the transfer function stable or not? (1 mark) X CE M F