Final answer:
The equation of motion for a mass-spring damper system includes the spring force, damping force, and a driving force if applicable.
Step-by-step explanation:
The equation of motion for a certain mass-spring damper system can be derived using Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. For this system, the equation of motion takes the form:
net force = m · acceleration = -kx - bv + F0sin(ωdt)
Where m is mass, k is the spring constant, x is the displacement from equilibrium, b is the damping coefficient, v is the velocity, F0 is the amplitude of the driving force, ωd is the angular frequency of the driving force, and t is time.