Part C
we will determine the forces involved, applying Newton's laws:
(1)
(2)
from equation 2 you get

where m has two contributions, the mass of the ladder and the mass of the person



Part D
From the previous equations we can determine that

Now apply to the ladder the second condition for balance and consider the moments of torsion about an axis.



It can be seen that the minimum angle does not depend on the weight



Question: A ladder of length L = 2.4 m and mass m = 19.0 kg rests...
A ladder of length L = 2.5 m and mass m = 20 kg rests on a floor
with coefficient of static friction μs = 0.52. Assume
the wall is frictionless.
1)What is the normal force the
floor exerts on the ladder? 196.2N
2) What is the minimum angle the ladder must make with the floor
to not slip?
3)
A person with mass M = 63 kg now
stands at the very top of the ladder.
What is the...
A ladder of length L = 2.8 m and mass m = 22 kg rests on a floor with coefficient of static friction μs = 0.57. Assume the wall is frictionless. *What is the minimum angle the ladder must make with the floor to not slip? A person with mass M = 60 kg now stands at the very top of the ladder. *What is the normal force the floor exerts on the ladder? *What is the minimum angle to...
A uniform ladder of length L and mass 5 kg rests against a smooth, frictionless, vertical wall. The coefficient of static friction between the ladder and ground is 0.4. a.) Draw a force diagram indicating all the forces acting on the ladder and where they are applied. b.) Find the minimum angle,between the ladder and the ground at which the ladder will not slip.
A ladder of mass M and length 3.00 m rests against a
frictionless wall at an angle ? = 50° to the horizontal as in the
figure below. The coefficient of static friction at the floor is
0.600. What is the maximum distance along the ladder a person of
mass 12M can climb before the ladder starts to slip?
A uniform ladder of mass (m = 14.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle θ = 60.0°, find the static friction force between the ladder and the floor when a 60.0-kg person stands two-third of the way up the ladder?
A uniform ladder of mass (m = 15.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle θ = 52.0°, find the static friction force between the ladder and the floor when a 95.0-kg person stands two-third of the way up the ladder?
8. A uniform ladder of mass (m = 14.5 kg) and
length (L) leans against a frictionless wall, see figure.
If the angle θ = 70.0°, find the static friction force between the
ladder and the floor when a 80.0-kg person stands half way up the
ladder?
N
QUESTION 7 A person having a mass, m= 75.0 kg, stands on a ladder of mass mi=9.20 kg and length 1=5.50 m. The bottom end of the ladder rests on the floor at a point 3.50 m from the wall. Assume the wall is frictionless but the floor is not and has a 0.435 coefficient of static friction with the ladder's feet. At what critical distance from the bottom end of the ladder would the person stand to cause the...
A uniform stationary ladder of length L = 4.2 m and mass M = 19 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.38. The ladder makes an angle θ = 53° with respect to the floor. A painter of mass 8M stands on the ladder a distance d from its base. a. Find the magnitude of the normal...