Silly rods

Classical Mechanics Level 3

The figure below shows a non uniform metre stick AB having the linear mass density variation $$\lambda=\lambda_{o}x$$ where $$\lambda_{o}$$ is a constant and $$x$$ is the distance from end $$A$$, placed on smooth horizontal surface.

In the first experiment, the rod is pivoted at $$A$$ and force $$F$$ is applied perpendicular to the rod at the other end $$B$$ and in the second experiment, the rod is pivoted at $$B$$ and the force is applied perpendicular to the rod at the end $$A$$.

If in the first case angular acceleration is $$\alpha_{A}$$ and in the second case it is $$\alpha_{B}$$ then

Refer to my set

×