Question 114
A uniform ladder AB AB\,AB has length 5 m and mass 18 kg. It rests with A A\,A on rough horizontal ground and B B\,B against a smooth vertical wall, making an angle of 60∘ 60^\circ\,60∘ with the ground. A painter of mass 70 kg stands 3.5 m from AAA, measured along the ladder. The painter is modelled as a particle.
Use g=9.8g=9.8g=9.8 m s−2^{-2}−2 throughout.
a.[3]
By taking moments about AAA, find the magnitude of the contact force exerted by the wall at BBB.
b.[2]
Find the magnitude of the resultant contact force exerted by the ground on the ladder at AAA.