Discuss the horse cart problem on level road.
Let the cart be connected to horse through a string, as shown in the figure.
Let be the tension in the string.
For the cart to move, the horse presses the ground and the horse gets equal and opposite reaction
Let be the force of friction between cart and ground, and
Acceleration of system =
Resolve into two rectangular components
From the free body diagram of horse given above
V = mg
and H - T = ma ...(1)
From the free body diagram of the cart,
T - F = Ma ...(2)
Adding (1) and (2), we have,
H - F = (m+M)a
The system will move if and only if a>0.
i.e. H>F, for the cart to move.