Consider the crane shown in $($Figure $1).$ The crane's arm has a pin support at $A.$ The hydraulic cylinder $BC$ exerts a force on the arm at $C$ in the direction parallel to $BC.$ The crane's arm has a mass of $200$ kg $.$ and its weight can be assumed to act at a point $2$ m to the right of $A.$

Part A

If the mass of the suspended box is $800$ kg and the system is in equilibrium, what is the magnitude of the force exerted by the hydraulic cylinder?

Express your answer using three significant figures and include the appropriate units.

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The dimensions $a=2m$ and $b=1m.$ The couple $M=2400N*m.$ The spring constant is $k=6000\frac{N}{m},$ and the spring would be unstretched if $h=0.$ The system is in equilibrium when $h=2m$ and the beam is horizontal.

Part A

Determine the force $F.$

$($Figure $1)$

Express your answer with the appropriate units.

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Part B

Determine the reactions at $A.$

Enter your answers numerically separated by a comma.

$A_x,A_y=$

$$

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Figure

$1$ of $1$