A uniform ladder of mass 10kg leans against a smooth vertical wall making an angle 53^(@) with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder.

A uniform ladder of mass 10kg leans against a smooth vertical wall mak

1.	A uniform ladder of mass 10kg leans against a smooth vertical wall making an angle 53^(@) with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder.
Answer» Solution :The ladder is in equilibrium. `:.N_(1)=f` and `N_(2)=W` TAKING TORQUE about .B. `N_(1)(AO)=W(CB)`, or `N_(1)(AB)cos53=W((AB)/(2))sin53` or `N_(i)=(2)/(3)W` and `N_(2)=W=10xx9.8=98N`. The frictional force is `f=N_(1)=(2)/(3)W=65N`