Question

Part A

A uniform 5-m long ladder weighing 80 N leans against a frictionless vertical wall. The foot of the ladder is 4 m from the wall. What is the minimum coefficient of static friction between the ladder and the floor necessary for the ladder not to slip?

Answer #1

A uniform ladder of length L and mass m leans against a
frictionless vertical wall, making an angle of 49° with the
horizontal. The coefficient of static friction between the ladder
and the ground is 0.48. If your mass is four times that of the
ladder, how high can you climb before the ladder begins to
slip?

A uniform ladder whose length is 5.0 m and whose weight is 400 N
leans against a frictionless vertical wall. The coefficient of
static friction between the level ground and the foot of the ladder
is 0.46. What is the greatest distance the foot of the ladder can
be placed from the base of the wall without the ladder immediately
slipping?

A 6 m long, uniform ladder leans against a frictionless wall and
makes an angle of 58 ◦ with the floor. The ladder has a mass 26.4
kg. A 68.64 kg man climbs 82% of the way to the top of the ladder
when it slips and falls to the floor. What is the coefficient of
static friction between the ladder and the floor?

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 14.0 m uniform ladder weighing 510 N rests against a
frictionless wall. The ladder makes a 61.0°-angle with the
horizontal.
(a)
Find the horizontal and vertical forces (in N) the ground exerts
on the base of the ladder when an 850-N firefighter has climbed
3.80 m along the ladder from the bottom.
horizontal force
magnitude Ndirection ---Select--- towards the wall away from the
wall
vertical force
magnitude Ndirection ---Select--- up down
(b)
If the ladder is just on the...

A 15.5 m uniform ladder weighing 480 N rests against a
frictionless wall. The ladder makes a 56.0° angle with the
horizontal.
(a) Find the horizontal and vertical forces the ground exerts on
the base of the ladder when an 800 N firefighter is 4.00 m from the
bottom.
Magnitude of the horizontal force
Direction
away from the wall
towards the wall
Magnitude of the vertical force
Direction
up
down
(b) If the ladder is just on the verge of...

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...

73. A uniform ladder is 10 m long and weighs 200 N. The ladder
leans against a vertical, frictionless wall at height h = 8.0 m
above the ground. A horizontal force F is applied to the ladder at
distance d = 2.0 m from its base ( measured along the ladder ).
a) If force magnitude F = 50 N what is the force of the ground
on the ladder, in unit-vector notation? answer (35 i + 200 j)...

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