Calculating Force Needed to Lift Load with Pickup Truck Crane

AI Thread Summary
To calculate the force needed to lift a load with a pickup truck crane, one must consider the geometry of the crane's boom and the angles at which the load is applied. The force can be determined using the principles of torque and leverage, factoring in the different diameters of the pistons. The connection point where the piston meets the boom is crucial, as it affects the angle and the resultant force needed to lift the load. Understanding the relationship between the load, the angle of the boom, and the position of the pistons is essential for accurate calculations. Proper mathematical modeling will help in determining the required force effectively.
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http://www.harborfreight.com/1-2-half-ton-capacity-pickup-truck-crane-1647.html

I bought this truck crane for my father. How could i calculate the force needed on the handle to lift a given load? I could measure it but I am interested in how the math is done. For simplicity i'll assume the weight of the crane itself and friction are negligble. The load on the jacks two different diameter pistons or on various point along the length of the boom are easy to calculate separately. What i can't figure out is at where they connect. The piston extends in a straight line, but also rotates back as the boom rotates. Theres different angles that are non-perpendicular and changing so i don't know how to start.
 
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