Troubleshooting a Virtual Work Problem

AI Thread Summary
The discussion focuses on troubleshooting a virtual work problem related to hydraulic systems. The user expresses confusion over the derivation of the virtual work equation, initially stating it as du = 0 - Pdx + mg dh, but noting a discrepancy with the provided answer. Key points include the identification of P as the force at the hydraulic extension and mg as the weight of the car and platform. The user acknowledges the need to connect the vertical displacement dh to the differential distance ds of the piston, emphasizing the importance of geometric relationships in solving the problem. Understanding these relationships is crucial for arriving at the correct solution.
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https://www.physicsforums.com/attachment.php?attachmentid=65907&stc=1&d=1390369310

I've been stuck on doing my revision on this problem.

The equation of the virtual work, from what I deduce is

[du = 0] -Pdx + mg dh

However the answer given is
https://www.physicsforums.com/attachment.php?attachmentid=65908&stc=1&d=1390369325

I'm not unfamiliar to these types of question as I've done quite a few of them. But, I just couldn't understand how'd the answer arrive to that.

I know P, is the force acting at the hydraulic extension at bc, and mg is the downward force of the car and the platform.
 

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You need to relate dh to a change in ds, a differential distance the piston moves. This is just geometry.
 

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