Question

A 25 kg uniform ladder is leaning at a 60^{o} angle
against a frictionless wall. It is a slick day—the coefficient of
static friction between the floor and the ladder’s base is only
0.4. a. How far up the ladder (in terms of the fraction of the
ladder’s length) can a 75 kg person climb before the ladder begins
to slip? b. What is the minimum angle the ladder needs to allow the
person to climb to the very top without the ladder slipping (note,
if you solve symbolically, you can save yourself some steps)?

Answer #1

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 weight w is leaning against a
vertical wall. The coefficient of static friction between the
ladder and the floor is the same as that between the ladder and the
wall. If this coefficient of static friction is μs = 0.370,
determine the smallest angle the ladder can make with the floor
without slipping.
°
Please show work thank you

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A uniform ladder of length L and mass m leans against a
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An 8.00 m, 201 N uniform ladder rests against a smooth wall. The
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A ladder having a uniform density and a mass m rests
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coefficient of static friction is µs = 0.410. A window
cleaner with mass M = 2m attempts to climb the
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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
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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
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