A painter climbs a ladder leaning against a smoothwall. At a certain height, the ladder is on the verge of slipping.(a) Explain why the force exerted by the vertical wall on theladder is horizontal. (b) If the ladder of length L leans at anangle u with the horizontal, what is the lever arm for this horizontalforce with the axis of rotation taken at the base of theladder? (c) If the ladder is uniform, what is the lever arm forthe force of gravity acting on the ladder? (d) Let the mass ofthe painter be 80 kg, L = 4.0 m, the ladder’s mass be 30 kg,θ = 53°, and the coefficient of friction between ground andladder be 0.45. Find the maximum distance the painter canclimb up the ladder.
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 painter climbs a ladder leaning against a smooth
wall. At a certain height, the ladder is on the verge of slipping.
(a) Explain why the force exerted by the vertical wall on the
ladder is horizontal. (b) If the ladder of length L leans at an
angle u with the horizontal, what is the lever arm for this horizontal
force with the axis of rotation taken at the base of the
ladder? (c) If the ladder is uniform, what is the lever arm for
the force of gravity acting on the ladder? (d) Let the mass of
the painter be 80 kg, L = 4.0 m, the ladder’s mass be 30 kg,
θ = 53°, and the coefficient of friction between ground and
ladder be 0.45. Find the maximum distance the painter can
climb up the ladder.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 3 images
