Torque needed to overcome friction and move object

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To calculate the torque needed to move an object horizontally, one must consider the applied force P and the type of connection between the lever and the object. The connection can either be a hinge or a sliding mechanism, which significantly affects the torque required. Friction plays a crucial role, as it can vary based on the coefficient of friction between the lever and the object. The torque must overcome both the frictional force and any forces acting on the hinge if applicable. A clear understanding of these dynamics is essential for accurate torque calculations.
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I need to calculate the torque needed to move an object in horizontal direction. The object is subjected to a force P also in horizontal direction. The general situation is as follows: a (hor.) lever is connected to a (vert.) shaft which will provide the torque. The other end of the lever is connected*to the object. Now, my problem lies in understanding the torque needed to move the object for different types of connection between lever and object. There are 3 situations: connection is a hinge* or there is no fixed connection but the lever can slide against the surface of the object with a high* friction coefficient or very low* coefficient. So, apart from the force P applied to the object, the lever also has to overcome the force due to friction with the object surface or the force on the hinge.
 
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Where does the friction of the object occur?
Can you add a sketch of your setup(s)?

At least for me, the problem is quite unclear.
 

Thread 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
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