Question

An 8.00 m, 201 N uniform ladder rests against a smooth wall. The
coefficient of static friction between the ladder and the ground is
0.600, and the ladder makes a 50.0^{o} angle with the
ground. How far up the ladder can an 801N person climb before the
ladder begins to slip?

Answer #1

First, you must define a coordinate system.

Choose x to the right as positive and up as thre positive y direction.

Since the wall is smooth it has no friction.

If the ladder is on the verge of slipping, then the force due to friction from the floor will be a maximum:

Summing the force in the y direction

Thus, we can go back and calculate the frictional force

Try summing the forces in the x- direction

Next, Calculating the net torque

Choose the pivot point at the bottom of the ladder (this choice elinimates

Calculate the individual torques for the three remaining forces.

This Plus sign comes from counterclockwise rotation.

This Minus sign comes from clockwise rotation.

This Minus sign comes from clockwise rotation.

Next, on summing the torques and set them equal to zero since it is in equilibrium.

This is the distance that the person climbed up the ladder.

A uniform ladder rests against a frictionless wall at an angle
of
θ = 50.0°
with respect to the ground. If the weight of the ladder is
WL = 250 N,
the length is
L = 9.0 m,
and the coefficient of static friction between the ladder and
the ground is
μs = 0.65,
determine the distance a man with a weight of
WM = 800 N
can climb along the ladder before the ladder begins to slip.

A uniform ladder rests against a frictionless wall at an angle
of θ = 54.0° with respect to the ground. If the weight of the
ladder is WL = 240 N, the length is L = 7.0 m, and the coefficient
of static friction between the ladder and the ground is μs = 0.55,
determine the distance a man with a weight of WM = 875 N can climb
along the ladder before the ladder begins to slip
. ______m

A uniform ladder of length l and mass m rests against a smooth,
vertical wall. The coefficient of static friction between ladder
and ground is 0.35. Find the minimum angle at which the ladder does
not slip. (Consider the torques about an axis perpendicular to the
page through O)

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 having a uniform density and a mass m rests
against a frictionless vertical wall, making angle 49.0° with the
horizontal. The lower end rests on a flat surface where the
coefficient of static friction is µs = 0.410. A window
cleaner with mass M = 2m attempts to climb the
ladder. Given a ladder length of L, what fraction of the
length of the ladder (x / L) will the worker have reached
when the ladder begins to...

A ladder having a uniform density and a mass m rests
against a frictionless vertical wall, making angle 50.0° with the
horizontal. The lower end rests on a flat surface where the
coefficient of static friction is µs = 0.420. A window
cleaner with mass M = 2m attempts to climb the
ladder. Given a ladder length of L, what fraction of the
length of the ladder (x / L) will the worker have reached
when the ladder begins to...

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 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 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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 8 minutes ago

asked 24 minutes ago

asked 33 minutes ago

asked 42 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago