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Finding motorcycle turning radius based on lean angle

The explanation by @user121330 uses arguments in the non-inertial frame of the rider. That'll work but I feel it is an overly complicated way to do it. Here is how you work it out in a simpler, ...
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Finding motorcycle turning radius based on lean angle

Fundamentally, the shape of the tire will impact the way that a bike turns and how much turning results from leaning and how much comes from turning the front wheel. Fortunately, you can ignore all ...
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Velocity and Angular Velocity Equations for Cue-Ball Interactions

How did the authors derive this equation for force? with those equations you can obtain the "force" F \begin{align*} &M\,(\vec{v}_c-\vec v_0)=-F\,\hat e_F\\ &m\,\vec{v}_s=F\,\hat ...
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3 votes

Rotating a lever — small end has more force but less speed?

There are two errors here. First, $ F_{2} = F_{1}\frac{R}{r} $ is about the balancing of two torques in static equilibrium. That is, the usually case where this holds is where $F_1 R$ is one torque, ...
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1 vote
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Rotating a lever — small end has more force but less speed?

What accelerates object A is not the force $F_1$ that you applied to it, it's the net force that it experiences. $F_1$ is one component of the net force, but there is also a reaction force from the ...
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Angular Acceleration of Spinning Body About a Rotating Axis

Let's first start with a picture. The object (blue ball) is rotating around the AB axis with angular velocity $\vec\omega_0$. Next, the $AB$ axis is rotating around the vertical with an angular ...
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