Question

6) A 15 kg uniform ladder makes 60 degrees with the ground and a worker with 60 kg mass climbed to the top. The length of the ladder is 1.2 meters and it is uniform. The other end of the ladder is on a wall without friction. Draw the free body diagram show all the forces. What should be the minimum friction coefficient (mu) on the ground so that the ladder won’t slide. (Calculate the Normal force of the ground, Friction on the wall and the reaction force of the wall. Show work)

Answer #1

A 52.5 kg, 3 m uniform ladder leans against a frictionless wall.
A 93.9 kg person is standing on the ladder down 1.14 m from the top
of the ladder. The ladder makes an angle of 60 degrees with the
horizontal. What is the minimum coefficient of static friction
between the ladder and the ground so that the ladder does not
slip?

A 16.0-m uniform ladder weighing 490 N rests against a
frictionless wall. The ladder makes a 61.0° angle with the
horizontal.
(a) Find the horizontal and vertical forces the ground exerts on
the base of the ladder when an 820-N firefighter has climbed 4.30 m
along the ladder from the bottom.
Horizontal Force
magnitude
__N
direction
- towards the wall or away from the wall?
Vertical Force
magnitude
N
direction
up or down?
(b) If the ladder is just on...

A 16.0-m uniform ladder weighing 490 N rests against a
frictionless wall. The ladder makes a 57.0° angle with the
horizontal.
(a) Find the horizontal and vertical forces the ground exerts on
the base of the ladder when an 850-N firefighter has climbed 4.20 m
along the ladder from the bottom.
Horizontal Force
magnitude
direction
Vertical Force
magnitude
direction
(b) If the ladder is just on the verge of slipping when the
firefighter is 9.10 m from the bottom, what...

A 16.0-m uniform ladder weighing 490 N rests against a
frictionless wall. The ladder makes a 55.0° angle with the
horizontal.
(a) Find the horizontal and vertical forces the ground exerts on
the base of the ladder when an 820-N firefighter has climbed 4.20 m
along the ladder from the bottom.
Horizontal Force
magnitude
N
direction
---Select--- towards the wall away from the wall
Vertical Force
magnitude
N
direction
---Select--- up down
(b) If the ladder is just on the...

A uniform ladder has a mass of 16.0 kg and a length of 8.50 m.It
stands on the ground and leans against a vertical wall, making an
angle of 62 degrees with the ground. The friction between the wall
and the ladder is not significant.What is the smallest force of
friction between the ladder and the ground that will prevent the
ladder from slipping?

A 2.0-m-long, 11-kg ladder is resting against a house wall,
making a 35 ∘ angle with the vertical wall. The coefficient of
static friction between the top of the ladder and the wall the
coefficient is 0.00:
A. Determine the minimum coefficient of static friction between
the ladder feet and the ground needed for the ladder to stay in
rest.
B. Determine the magnitude of the normal force of the wall on
the ladder.
C. Determine the magnitude of the...

A ladder of length 15.0 m and of mass 45.0kg is leaning against
a frictionless building wall. An85.0-kg person standing on the
ladder, 1.00 m from its top end, asks his friend to stand on one of
the lower rungs to prevent the ladder from slipping. If the
friend’s mass is 65.0 kg, where should he stand to keep the entire
system in equilibrium? The coefficient of friction between the
ladder and the ground is 0.300, and the angle that...

A worker of mass 85 kg has been doing repairs on a building,
working from a ladder of mass 35 kg, which has its center of
gravity at its midpoint. Wrapping up his workday, the worker starts
to move the ladder when he notices that he left his 15-kg toolbox
attached at a point 0.75 m from the top. In a hurry, he
re-positions the ladder carelessly, with its top resting at 8.0 m
above the ground and its base...

A ladder of length L = 2.4 m and mass m = 15 kg rests on a floor
with coefficient of static friction μs = 0.56. Assume
the wall is frictionless.
1)
What is the normal force the floor exerts on the ladder? N
2)
What is the minimum angle the ladder must make with the floor to
not slip?
3)
A person with mass M = 62 kg now stands at the very top of the
ladder.
What is...

A 12.0-kg box is released from the top
of an incline that is 5.00 m long and makes an angle of
40.0o to the horizontal ground. A 60.0-N friction force
is acted on the box to impede the motion of the box.
A) Draw a free body diagram to show all the forces acting on the
box.
B) What would be the acceleration of the box?
C) How much force (in N) parallel to the slope of incline is
required...

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