Question
In: Math
A 5m ladder leans against a wall. The bottom of the ladder is 2m from the...
A 5m ladder leans against a wall. The bottom of the ladder is 2m from the wall at time ?=0 sec and slides away from the wall at a rate of 0.8m/s.
Find the velocity of the top of the ladder at time ?=2 (take the direction upwards as positive).
(Use decimal notation. Give your answer to three decimal places.)
Solutions
milcah answered 2 years agoRelated Solutions
A 15 ft ladder leans against a wall. The bottom of the ladder is 3 ft...
A 15 ft ladder leans against a wall. The bottom of the ladder is
3 ft from the wall at time t=0 and slides away from the wall at a
rate of 1 ft/sec. Find the velocity of the top of the ladder at
time t=3. The velocity of the ladder at time t=3 is --ft/sec
1. A 20 foot ladder leans against a vertical wall. The bottom of the ladder slides...
1. A 20 foot ladder leans against a vertical wall. The bottom of
the ladder slides away from the wall at 2 ft/sec.
a. How fast is the top of the ladder sliding down the wall when
the top of the ladder is 12 feet from the ground?
b. Interpret the meaning of the sign.
A ladder of mass 30 kg and length 5m leans against a frictionless wall. The angle...
A ladder of mass 30 kg and length 5m leans against a
frictionless wall. The angle between the ladder and the wall is 37
degree. (a) what is the force between the ladder and the wall? (b)
a 60 kg man now climbs up to the midpoint of the ladder, what is
the force at the base of the ladder (magnitude and direction).? (c)
what must be the coefficient of friction so that the mass can climb
all the way...
A ladder of unit length leans against a wall (y-axis) as its bottom slides along the...
A ladder of unit length leans against a wall (y-axis) as its
bottom slides
along the ground (x-axis). As the ladder slides from vertical to
horizontal,
one end remains in contact with the wall while the other end
remains in
contact with the ground.
Find :
(1) Derive an algebraic equation describing the trajectory
traced out by
the midpoint of the ladder. What is the shape of the
trajectory?
(2) Derive an algebraic equation for the envelope bounded by the...
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder...
A ladder 10 ft long rests against a vertical wall. If the bottom
of the ladder slides away from the wall at a rate of 1.4 ft/s, how
fast is the angle between the ladder and the ground changing when
the bottom of the ladder is 8 ft from the wall? (That is, find the
angle's rate of change when the bottom of the ladder is 8 ft from
the wall.)
A 5 m uniform ladder leans against a frictionless wall. The coefficient of friction between the...
A 5 m uniform ladder leans against a frictionless wall. The
coefficient of friction between the ladder and the floor is 0.35.
The base of the ladder is 4 m from the wall. If the ladder weighs
50 N, and a person is 3 m up the ladder (2 m from the top), what is
the most this person could weigh without causing the ladder to
slide? Show all work.
A uniform ladder of length L and mass m leans against a frictionless vertical wall, making...
A uniform ladder of length L and mass m leans against a
frictionless vertical wall, making an angle of 57° with the
horizontal. The coefficient of static friction between the ladder
and the ground is 0.42. If your mass is four times that of the
ladder, how high can you climb before the ladder begins to
slip?
L
A uniform ladder of length L and mass m leans against a frictionless vertical wall, making...
A uniform ladder of length L and mass m leans
against a frictionless vertical wall, making an angle of 55° with
the horizontal. The coefficient of static friction between the
ladder and the ground is 0.40. If your mass is four times that of
the ladder, how high can you climb before the ladder begins to
slip?
1A) A 47.8 kg, 3.6 m uniform ladder leans against a frictionless wall. A 87.7 kg...
1A) A 47.8 kg, 3.6 m uniform ladder leans against a frictionless
wall. A 87.7 kg person is standing on the ladder down 0.98 m from
the top of the ladder. The ladder makes an angle of 70 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?
1B) A 198.3 kg uniform, horizontal beam is hinged at one end and
at the other is...
A 45.4 kg, 3.8 m uniform ladder leans against a frictionless wall. A 99.1 kg person...
A 45.4 kg, 3.8 m uniform ladder leans against a frictionless
wall. A 99.1 kg person is standing on the ladder down 1.04 m from
the top of the ladder. The ladder makes an angle of 50 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?
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