In: Physics
The model of a suspension from a rover, including gravity is : my'' + cy' + ky = −gm
m is the mass of the rover, c is the daming coefficient of the suspension, k is the spring constant, g is the gravity on the Earth. The gravity on the Mars is 1/3 on the Earth. This suspension is at critical damping. The initial displacement when the rover landed is -1m and velocity is -10m/s.
a) solve this ODE using trial solution.
b)calculate the displacement that rover after it comes to a stop if it landed on Earth
c) what about landed on Mars.