Question

1. For the mechanical system illustrated below where a cart with a mass of $m = 1$ kg is sliding on the ground connected to the wall through a dashpot with a damping coefficient of $c =$ 10 N/mm/sec. dashpot $v(t)$ (Velocity) C M $f(t)$ (force) a) Write down the equation of motion and derive the transfer function between force and velocity of the mass, $G(s) = \frac{V(s)}{F(s)}$. b) What is the time constant of this system? c) What is the final velocity when a 1 N step force command is applied, $F(s) = \frac{1}{s}$.

          1. For the mechanical system illustrated below where a cart with a mass of $m = 1$ kg is sliding
on the ground connected to the wall through a dashpot with a damping coefficient of $c =$
10 N/mm/sec.
dashpot
$v(t)$ (Velocity)
C
M
$f(t)$ (force)
a) Write down the equation of motion and derive the transfer function between force and
velocity of the mass, $G(s) = \frac{V(s)}{F(s)}$.
b) What is the time constant of this system?
c) What is the final velocity when a 1 N step force command is applied, $F(s) = \frac{1}{s}$.

1. For the mechanical system illustrated below where a cart with a mass of m = 1 kg is sliding
on the ground connected to the wall through a dashpot with a damping coefficient of c =
10 N/mm/sec.
dashpot
v(t) (Velocity)
C
M
f(t) (force)
a) Write down the equation of motion and derive the transfer function between force and
velocity of the mass, G(s) = (V(s))/(F(s)).
b) What is the time constant of this system?
c) What is the final velocity when a 1 N step force command is applied, F(s) = (1)/(s).

Added by Carla E.

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