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Doubt

sir,
 A 3m long ladder weighing 20kg bans on a frictionless wall. its feet rest on the floor 1m from the wall. find the reaction forces of the wall and the floor. [ take g = 10m/s2].

Answer Explanation

The figure below represents the forces on the ladder.


                                                                
Balancing forces in the horizontal and vertical direction, we get:

N1 = f and N2 = 200

Now the angle made by the ladder with the horizontal direction is 70.53o (since cos of the angle is 1/3).

Torque about the centre of mass of the ladder = 0.

Hence, N1(1.5sin70.53o) + f
(1.5sin70.53o)  = N2(1.5cos70.53o

Solving these equations, you can get N1 and f.

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