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This is an interesting question. I am not an automotive engineer, so please correct me if I am wrong. The rolling resistance is a contact force with direction in reverse to the applied force, which in a sense drives up the demand of the driving torque, otherwise, the vehicle will not move forward.

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WIP waiting for clarifications A way to look at this is the following: The rotational speed of a wheel will increase if the torque $T_{tij}$ supplied is greater that the total force from the ground. Figure 1: presents the forces and the deformation of the wheel and the surface source: Physics SE Which basically means that if the supplied torque is greater ...

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What you are learning here is the effect of the "inertia force" due to motion. In order for both blocks to move together, we can simply write the equation, $F = (M + m)*a$, by the law of motion. Then for the small block not to fall during the motion, there must have a normal force exerted from the smaller block on the larger block to produce ...

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mg does not equal 0. It's the weight of the block. The friction that the weight would have to exceed to start moving is [mu]ma. F is only moving M and m. Even if m is glued to M it will be (M+m)a.

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The classic solution to do this would be to use a key cut into the axle and a keyed gear: The red Key rests in a slot machined into the axle and corresponds to a slot in the gear. This prevents the gear from slipping around the axle, but needs other features (like a snap ring) to prevent sliding along the axle's rotational axis. The gear in the machine you ...

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If you want a simple fix and the internal splines of the gear itself and the external mating surface of the drive shaft are okay, not stripped, and the only issue you are having is movement "along the drive shaft", then putting some hose clamps on the shaft snug up against the gear and clipping off the excess should work to keep it in its ...

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