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A uniform ladder of mass 10 g leans agai...

A uniform ladder of mass 10 g leans agais ta smooth vertical wall making an angle of `53^0` with it. The other end rests on a rough horizontal floor. Find the normal force and the frictinal force that the floor exerts on the ladder

Text Solution

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The ladder is in equilibrium .

`:. N_(1)=f` and `N_(2)=W`
Taking torque about `B , N_(1)(AO)=W(CB)`
`N_(1)(AB)cos53^(@)=W((AB)/2)sin 53^(@)`
`N_(1)=2/3W` and `N_(2)=W=10xx9.8=9.8=98 N`
The frictional force is `f=N_(1)=2/3W=65 N`
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