Example $3$: Frames and Machines

The skid$-$steer loader has a mass of $1180kg$ and in the position shown the center of mass is at $G_1.$ There is a $300-kg$ stone in the bucket, with center of mass at $G_2.$

A$.$ Determine the reactions at each pair of wheels A and $B$ on the ground. Be sure to show the free body diagram you used in this part of the problem.

B$.$ Determine the force on the hydraulic cylinder CD$.$ Again, show the free body diagram you used in this part of the problem.

$N_A=11\mathrm{.}1kN$

$N_B=3\mathrm{.}37kN$

$F_{CD}=6\mathrm{.}47kN$