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Why is the circle moving to the right if the force is to the left?
What do you mean by 'circle' in physical terms for this scenario, a cylinder, maybe?
I count that energy and I compare it with the energy recovered from the friction and there is a difference.
The rotation of the red arm doesn't need/give any energy
Like I wrote #2: a pneumatic cylinder moves the circle at a constant velocity.
I count the energy needed to move the circle in translation.
I count the energy recovered from the heating by the friction (or the energy recovered from the elastic).
What you call 'the calculations' ? the method ?
I measure the distance moved by the circle and I multiply it by the force and multiply by the cosine of the angle of the wall relatively to the horizontal, note the distance moved by the circle multiply by the cosine of the angle is equal to d1. The energy given is lg*F*cos(a) = d1*F.
We need more info, such as:What is the weight of the cylinder.What is the force applied to the cylinderHow fast is the bar moving.What is the modulus of elasticity of the band.If the cylinder pushes against the bar what is the resistance to movement of the bar.
I don't understand why there is a problem there.