Moments and equilibrium of rigid bodiesEdexcel International A Level Further Maths: Mind map

Exam questions on Moments and equilibrium of rigid bodies

1. A uniform horizontal beam $AB$ of length $6$ m and mass $15$ kg rests on two smooth supports at $C$ and $D$, where $AC=1$ m and $DB=2$ m. Take $g=9.8$ m s$^{-2}$.
   A particle of mass $3$ kg is now placed at $A$ (and no particle at $B$). Find the magnitude of the reaction at $C$.2 marks
2. A uniform ladder $AB$ of mass $20$ kg and length $5$ m rests with end $A$ on rough horizontal ground and end $B$ against a smooth vertical wall. The end $B$ is $4$ m above the ground. The ladder is in equilibrium in a vertical plane perpendicular to the wall. Take $g=9.8$ m s$^{-2}$.
   Find the magnitude of the total force exerted by the ground on the ladder.2 marks
3. A uniform rod $AB$ of mass $9$ kg and length $2$ m is smoothly hinged to a vertical wall at $A$. The rod is held in equilibrium in a horizontal position by a light string joining $B$ to a point $C$ on the wall, where $C$ is $1.5$ m vertically above $A$. Take $g=9.8$ m s$^{-2}$.
   Find the tension in the string.3 marks