HARD
JEE Advanced
IMPORTANT
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In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is μ1 and that between the floor and the ladder is μ2 . The normal reaction of the wall on the ladder is N1 and that of the floor is N2. If the ladder is about to slip, then

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Important Questions on Laws of Motion

HARD
JEE Advanced
IMPORTANT
A particle of mass m is projected from the ground with an initial speed u at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u. The angle that the composite system makes with the horizontal immediately after the collision is