A spring with spring constant 8 Newtons/meter is hung from the ceiling. A mass of 2
kg. is attached to that spring, and a dashpot with damping coefficient 8 is connected to
the mass.
Find the differential equation determined by this system. Is the system overdamped,
underdamped, or critically damped?
At t=0 the mass is pushed up to a distance of 1m from equilibrium, hooked up
to a motor which pushes the spring up and down with an external force of
16cos(2t) Newtons, and released (with initial velocity 0 ). Find the position of the
mass at time t.
8. A spring with spring constant 8 Newtons/meter is hung from the ceiling. A mass of 2 kg. is attached to that spring, and a dashpot with damping coefficient 8 is connected to the mass.
1. Find the differential equation determined by this system. Is the system overdamped. underdamped, or critically damped?
2. At t = 0 the mass is pushed up to a distance of 1 m from equilibrium, hooked up to a motor which pushes the spring up and down with an external force of 16 cos(2t) Newtons, and released (with initial velocity 0). Find the position of the mass at time t.