Question

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) N

b) If F = 150 n, what is the force of the ground on the ladder, also in unit-vector notation? answer ( -45 i + 200 j) N

c) Suppose the coefficient of static friction between the ladder and the ground is 0.38 fro what minimum value of the force magnitude F will the base of the ladder just barely start to move towards the wall? answer 1.9 x 10^2 N

Answer #1

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 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 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 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...

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?

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 ladder leans against a wall making a
55.0° angle to the floor. The ladder is 4.50 m long, and weighs 415
N. The wall is frictionless and so is the floor. A horizontal wire
is attached to the base of the ladder and attached to the wall. (a)
What is the tension in the wire? (b) A person who weighs 655 N
stands on a rung of the ladder located 2.00 m from its lower end.
What is the...

Romeo takes a uniform 11.5-m ladder and leans it against the
smooth wall of the Capulet residence. The ladder's mass is 24.0kg,
and the bottom rests on the ground 2.80m from the wall. When Romeo,
whose mass is 70 kg, gets 87.0 percent of the way to the top, the
ladder begins to slip. What is the coefficient of static friction
between the ground and the ladder?

a ladder 15 m long leans against a wall. The ladder slides down
the wall at a rate of 1.5m/s. What is the rate of change of the
angle at the ground when the ladder is 6m from the wall.

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