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

Exam questions on Moments and equilibrium of rigid bodies

1. A uniform beam $AB$, of mass 20 kg and length 6 m, rests horizontally on two smooth supports at $A$ and at $C$, where $AC=4$ m. Take $g=9.8\ \text{m s}^{-2}$.
   A particle of mass $m$ kg is placed on the beam at $B$ and the beam is about to tilt about $C$. Find $m$.2 marks
2. A non-uniform rod $AB$, of length 4 m and mass 12 kg, is suspended in a horizontal position by two vertical light strings attached at $A$ and $B$. The tension in the string at $A$ is 50 N. Take $g=9.8\ \text{m s}^{-2}$.
   A particle of mass 5 kg is attached to the rod at its midpoint. Find the new tension in the string at $A$.2 marks
3. A uniform rod $AB$, of mass 8 kg and length 3 m, is hinged at $A$ to a vertical wall. The rod is held in equilibrium in a horizontal position by a light string attached to $B$ and to a point $C$ on the wall above $A$. The string makes an angle of $40^\circ$ with the rod. Take $g=9.8\ \text{m s}^{-2}$.
   Find the tension in the string.3 marks