Question

A 7-m long, 17-kg, ladder rests against a smooth vertical wall with a 20 degree angle from the wall. The coefficient of static friction between the floor and the ladder is 0.2. What distance, measured in meter along the ladder from the bottom, can a 75-kg person climb before the ladder starts to slip?

A spool whose inner core has a radius of 1 cm and whose end caps have a radius of 1.77 cm has a string tightly wound around the inner core. The spool is free to roll without slipping on a horizontal surface. If the string unwinds horizontally from the bottom of the core with a constant speed of 21 cm/s, what is the speed of the spool, in cm/s?

Answer #1

1.

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 50.0o angle with the
ground. How far up the ladder can an 801N person climb before the
ladder begins to slip?

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 20 ft long rests against a vertical wall. If
the bottom of the ladder slides away at 3 ft/s, How fast is the top
sliding down the wall when the bottom is 5 ft from the wall?

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)

A ladder 10ft long rests against a vertical wall. If a bottom of
the ladder slides away
from the wall at the rate of 1.5 ft/s, how fast is the top of
the ladder sliding down the wall when the bottom of the ladder is 5
ft from the wall. Please show all work.

A 2.0 m long, 200 N uniform ladder, rests with one end against a
smooth wall making an angle of 30 degrees with the wall. The
coefficient of friction between the ground and the lower end of the
ladder is .5. With how large a force can you push the upper end of
the ladder parallel to the wall before it starts to slip down?

Question 10: A ladder 13 ft long rests against a vertical wall.
If the bottom of the ladder slides away from the wall at a rate of
2 ft/s, how fast is the top of the ladder sliding down the wall
when the bottom of the ladder is 5 ft from the wall?

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 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...

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