JEE Advanced 2016 Physics question
A uniform wooden stick of mass 1.6 kg and length rests in an inclined manner on a smooth, vertical wall of height such that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of 30° with the wall and the bottom of the stick is on a rough floor. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick. The ratio and the frictional force at the bottom of the stick are ()
Solution
The stick makes with the vertical, so the wall reaction (perpendicular to the stick) makes with the horizontal. Let the normal reaction of the floor also be . Vertical equilibrium: N. Horizontal equilibrium:
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