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At the bottom edge of a smooth vertical wall, an inclined plane is kept at an angle of $45 ° .$ A uniform ladder of length l and mass M rests on the inclined plane against the wall such that it is perpendicular to the incline. If the plane is also smooth, which way will the ladder slide.

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clockwise

Anticlockwise

None of the above

All of the above

answer is A.

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Detailed Solution

$N_{2}$ and mg pass through $G . N_{1}$ has clockwise moment about G, so the ladder has a tendency to slip by rotating clockwise and the force of friction

f at B is then up the plane.

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