(i)[3]
Determine the magnitude of the force applied at $A$.
(ii)[4]
Determine the least possible value of the coefficient of friction at $B$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A uniform rod $AB$ weighs $6\,\text{N}$ and measures $0.8\,\text{m}$ in length. It is in limiting equilibrium with $B$ touching a rough horizontal plane, and $AB$ is set at $60^\circ$ to the horizontal. Equilibrium is held by a force, within the vertical plane containing $AB$, applied at $A$ and making an angle of $45^\circ$ to $AB$ (see diagram).