Determine the vertical reaction force on the pin, Physics

To test the deflection of the uniform 400N/m beam the 600N boy exerts a pull of P42N on the rope. The distance between the rope and the support at A is P43 metres.  Assume the pulleys are frictionless and the CoG of the boy is 1.5m from the end of the beam.  Determine the vertical reaction force on the pin at O.

The reaction force on the pin at O rounded to the nearest Newton, is,

ANS

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