Problem

The idealized model of an initial design for a mechanism is shown below. The mechanism is attached to

a rigid steel frame that may be considered to be 'ground'.

For the loading condition with vertical load $P_V$ and horizontal load $P_H,$ and the linear actuator $AB$

holding it in the position shown, determine the force required to be applied by the linear actuator and

the reaction forces in each of the pin connections at $A,B,C,D,E$ and $F.$

Drawing is not to scale

Dimensions are in m

The load magnitudes are as follows:

$P_H=1+(\frac{x}{10})kN$

$P_V=3+(\frac{Y}{10})kN$

$P_H=1+(\frac{x}{10})=1+(\frac{0}{10})=1\mathrm{.}0kN$

$P_V=3+(\frac{Y}{10})=3+(\frac{8}{10})=3\mathrm{.}8kN$

Where X$=2$

and Y$=4$

Please include a hand written solution with free body diagrams. Thank you.