A  3m long ladder weighing 20kg leans on a frictionless wall. Its feet rest on the floor 1m from the wall. Find the total reaction  forces of wall and the floor.

Given,

• Ladder length: 3 m
• Ladder weight: 20 kg
• Weight force W = 20 x 9.8 = 196 N
• Distance from wall to ladder base: 1 m

Using Pythagorean theorem:

Horizontal Equilibrium:

Vertical Equilibrium:

Taking torque about the base of the ladder:

Wall reaction force:

Floor reaction force:

Final Answer:

Correct Option:(a) 34.3 N, 199 N