A 200 N ladder that is 9.0 m long leans against a frictionless wall. There is friction between the ladder and the floor. A rope is attached to the ladder at a point 3 m above the bottom of the ladder (one third of the way up the ladder). It is pulled horizontally to the left with a tension of 25 N. If the coefficient of friction between the floor and the ladder is .67, what is the smallest angle the wall can make with the floor before it begins to slide down the wall.
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.
A 200 N ladder that is 9.0 m long leans against a frictionless wall. There is friction between the ladder and the floor. A rope is attached to the ladder at a point 3 m above the bottom of the ladder (one third of the way up the ladder). It is pulled horizontally to the left with a tension of 25 N. If the coefficient of friction between the floor and the ladder is .67, what is the smallest angle the wall can make with the floor before it begins to slide down the wall.
Given information:
The weight of the ladder (w) = 200 N
The tension force (T) = 25 N
The coefficient of the friction (μ) = 0.67
The point at which the tension is applied = 3 m above the bottom of the ladder
The free body diagram of the ladder:
At smallest angle the all the represented force will just balance each other.
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