A ladder AB has mass M and length 6a.
The end A of the ladder is on rough horizontal ground.
The ladder rests against a fixed smooth horizontal rail at the point C.
The point C is at a vertical height 4a above the ground.
The vertical plane containing AB is perpendicular to the rail.
The ladder is inclined to the horizontal at an angle a, where sin a= 4/5,, as shown in Figure 1.
The coefficient of friction between the ladder and the ground is u.
The ladder rests in limiting equilibrium.
The ladder is modelled as a uniform rod.
Using the model,
(a) show that the magnitude of the force exerted on the ladder by the rail at C is 9Mg/25
(6) Hence, or otherwise, find the value of mu.
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