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PROBLEM 14.81 (Continued)
PROBLEM 14.82
A circular reentrant orifice (also called Borda’s mouthpiece) of
diameter D is placed at a depth h below the surface of a tank.
Knowing that the speed of the issuing stream is
2vgh
and
assuming that the speed of approach
1
v
is zero, show that the
diameter of the stream is
/2.dD
(Hint: Consider the section of
water indicated, and note that P is equal to the pressure at a depth h
multiplied by the area of the orifice).
PROBLEM 14.83
A railroad car of length L and mass 0
m when empty is moving
freely on a horizontal track while being loaded with sand from
a stationary chute at a rate /.dm dt q Knowing that the car
was approaching the chute at a speed 0,v determine (a) the
mass of the car and its load after the car has cleared the chute,
(b) the speed of the car at that time.
PROBLEM 14.84*
The depth of water flowing in a rectangular channel of width b
at a speed v
1
and a depth d
1
increases to a depth d
2
at a
hydraulic jump. Express the rate of flow Q in terms of b, d
1
,
and d
2
.
PROBLEM 14.85*
Determine the rate of flow in the channel of Problem 14.84,
knowing that
12 ft,
b
1
4 ft,d
and
2
5 ft.d
PROBLEM 14.84
The depth of water flowing in a rectangular
channel of width b at a speed v
1
and a depth d
1
increases to a
depth d
2
at a hydraulic jump. Express the rate of flow Q in
terms of b, d
1
, and d
2
.
PROBLEM 14.85* (Continued)
PROBLEM 14.86
A chain of length l and mass m lies in a pile on the floor. If its end A is raised
vertically at a constant speed v, express in terms of the length y of chain that is off
the floor at any given instant (a) the magnitude of the force
P
applied at A, (b) the
reaction of the floor.
PROBLEM 14.87
Solve Problem 14.86, assuming that the chain is being lowered to the floor at a
constant speed v.
PROBLEM 14.86
A chain of length l and mass m lies in a pile on the floor. If its
end A is raised vertically at a constant speed v, express in terms of the length y of
chain that is off the floor at any given instant (a) the magnitude of the force
P
applied at A, (b) the reaction of the floor.
PROBLEM 14.88
The ends of a chain lie in piles at A and C. When released from rest at time
0,
t
the chain moves over the pulley at B, which has a negligible mass.
Denoting by L the length of chain connecting the two piles and neglecting
friction, determine the speed v of the chain at time t.
PROBLEM 14.88 (Continued)
