A heavy rope, 60 ft long, weighs 0.8 lb/ft and hangs over the
edge of a...
A heavy rope, 60 ft long, weighs 0.8 lb/ft and hangs over the
edge of a building 110 ft high. How much work is done in pulling
the rope to the top of the building?
A heavy rope, 40 feet long, weighs 0.3 lb/ft and hangs over the
edge of a building 110 feet high. Let x be the distance in feet
below the top of the building.
Find the work required to pull the entire rope up to the top of the
building.
1. Draw a sketch of the situation.
We can look at this problem two different ways. In either case, we
will start by thinking of approximating the amount of work done...
1. A 10 ft chain weighs 25 lb and hangs from a ceiling with a 5
lb weight attached to the end. Find the wok done lifting the lower
end of the chain and the weight to the ceiling so that they are
level with the upper end.
2. Use the method of cylindrical shells to find the volume
formula for a sphere with radius r. (in our example we used the
disk method. You formula should be the same,...
A body weighing 2 pounds forces hangs from a spring with
constant 4 lb / ft. The medium in which the body moves offers a
resistance force to movement that is numerically equal to its
instantaneous speed. If the weight is released 1/3 feet above its
balance position with a downward speed of 9 feet per second,
determine the speed at which time it passes through the balance
position. Consider negative downward and positive upward
magnitudes.
A mass that weighs 32 lb stretches 4/3 ft of a spring. The
mass
is initially released from rest from a point 1 ft below the
equilibrium
position, and the subsequent movement takes place in a
medium
that offers a damping force equal to the instantaneous
velocity.
Using differential equations find the position of the mass at time
t
if an external force equal to f (t) = 10cos (t) is applied to the
mass
A body weighing 10 pounds forces hangs from a spring with
constant 4/5 lb / ft. The medium where the body moves it offers a
resistance force to movement that is numerically equal to its
instantaneous speed. If the weight is released 5/3 feet above your
balance position with a downward speed of 6 feet per second,
determine the position the lower the object reaches. Consider
negative downward and positive upward magnitudes
A body weighing 128 pounds hangs from a spring with constant
1400 lb/ft. The medium, where the body moves, offers a force of
opposition to the movement numerically equal to 15 for its
instantaneous speed. If the weight is released 2 feet above its
balance position, say how fast it should be initially pushed so
that after 6 seconds it reaches the lower limit position. Take the
constant of gravity as 32 ft/sec^2.
A lightweight rope is wrapped around a 100-lb
drum, passes over a frictionless pulley, and is
attached to a weight W (see figure). The
coefficient of friction between the drum and
the surfaces is 0.50. Determine the maximum
amount of weight that can be supported by
this arrangement.
A square plot of land has a building 70 ft long and 60 ft wide
at one corner. The rest of the land outside the building forms a
parking lot. If the parking lot has area 10,200 ft2, what are the
dimensions of the entire plot of land?
A wire 370 in. long is cut into two pieces. One piece is formed
into a square and the other into a circle. If the two figures have
the same area, what...
1. The medication is ordered for 100mg/kg over sixteen hours.
The patient weighs 33 lb. How many milligrams will the nurse
administer per dose? 1050 mg (If needed, round to the nearest
tenth.) A. This dose will arrive from the pharmacy diluted in 225mL
of D5W. This is to infuse over sixteen hours. Calculate the hourly
rate of infusion. _____ mL/hr B. A provider has ordered D5 0.45 NS
w/20 meq KCL/L as maintenance fluid for a patient who weighs...
Consider a W30x99 beam (Fy = 60 ksi) that is simply supported,
30 ft. long, and subjected to a point load
at the midspan. The point service load consists of 60% live load
and 40% dead load. Lateral supports exist
at the ends only. Design code to comply with: 2016 AISC LRFD.
(a) Determine the maximum point service load P for strong-axis
bending assuming Cb = 1.0.
(b) Redetermine the maximum point service load P for strong-axis
bending considering proper...