Question

In: Mechanical Engineering

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever.

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If x=450mm , determine the required mass of the counterweight S required to balance a 90-kg load, L.

                                     

Solutions

Expert Solution

Solution

Equations of Equilibrium : Applying the moment equation of equilibrium about point A to the free - body diagram of member AB in Fig . a

Using the result of FBG and writing the moment equation of equilibrium about point F on the free - body diagram of member EFG in Fig . b

Using the result of FED and writing the moment equation of equilibrium about point C on the free - body diagram of member CDI in Fig . c


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