A 20-kg uniform ladder rests against a smooth vertical wall with the ladder incline at an angle 0 = 50° with respect to the ground. The coefficient of static friction between the floor and the ladder is 0.24. The maximum distance, measured along the ladder from the bottom a 60.0 kg person can climb before the ladder starts to slip, is d = 1.50 meters. What is the length (L) of the ladder? Hint: the center of gravity of the latter is at its geometry center. Show all work including but not limited to coordinate system, equations along the axis, free body diagrams and torque diagrams. Incomplete work will not receive full credit.

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Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics. 

Equilibrium of Forces

The tension created on one body during push or pull is known as force.