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PROBLEM 11.52 (Continued)
PROBLEM 11.53
A farmer wants to get his hay bales into the top loft of
his barn by walking his horse forward with a constant
velocity of 1 ft/s. Determine the velocity and
acceleration of the hay bale when the horse is 10 ft
away from the barn.
PROBLEM 11.54
The motor M reels in the cable at a constant rate of 100 mm/s. Determine
(a) the velocity of load L, (b) the velocity of pulley B with respect to load L.
/
BL
PROBLEM 11.55
Collar A starts from rest at t = 0 and moves upward with a constant acceleration of
3.6 in./s2. Knowing that collar B moves downward with a constant velocity of 18 in./s,
determine (a) the time at which the velocity of block C is zero, (b) the corresponding
position of block C.
2
PROBLEM 11.56
Block A starts from rest at t 0 and moves downward with a constant acceleration
of 6 in./s
2
. Knowing that block B moves up with a constant velocity of 3 in./s,
determine (a) the time when the velocity of block C is zero, (b) the corresponding
position of block C.
C
C
PROBLEM 11.57
Block B starts from rest, block A moves with a constant
acceleration, and slider block C moves to the right with a
constant acceleration of
2
75 mm/s .
Knowing that at
2 st
the
velocities of B and C are 480 mm/s downward and 280 mm/s to
the right, respectively, determine (a) the accelerations of A and
B, (b) the initial velocities of A and C, (c) the change in position
of slider block C after 3 s.
A
A
PROBLEM 11.57 (Continued)
0
CC
PROBLEM 11.58
Block B moves downward with a constant velocity of 20 mm/s.
At
0,t
block A is moving upward with a constant acceleration,
and its velocity is 30 mm/s. Knowing that at
3 st
slider block
C has moved 57 mm to the right, determine (a) the velocity of
slider block C at
0,t
(b) the accelerations of A and C, (c) the
change in position of block A after 5 s.
BB
PROBLEM 11.58 (Continued)
0
AA
PROBLEM 11.59
The system shown starts from rest, and each component moves with a constant
acceleration. If the relative acceleration of block C with respect to collar B is 60
2
mm/s
upward and the relative acceleration of block D with respect to block A is
2
110 mm/s
downward, determine (a) the velocity of block C after 3 s, (b) the
change in position of block D after 5 s.
CD
PROBLEM 11.59 (Continued)
0
DD
PROBLEM 11.60*
The system shown starts from rest, and the length of the upper cord is adjusted so
that A, B, and C are initially at the same level. Each component moves with a
constant acceleration, and after 2 s the relative change in position of block C with
respect to block A is 280 mm upward. Knowing that when the relative velocity of
collar B with respect to block A is
80 mm/s
downward, the displacements of A
and B are 160 mm downward and 320 mm downward, respectively, determine
(a) the accelerations of A and B if 2
10 mm/s ,
B
a
(b) the change in position of
block D when the velocity of block C is 600 mm/s upward.
B
PROBLEM 11.60* (Continued)
1
PROBLEM 11.60* (Continued)
PROBLEM 11.61
A particle moves in a straight line with a constant acceleration
of 4 2
ft/s for 6 s, zero acceleration for the next 4 s, and a
constant acceleration of 4 2
ft/s for the next 4 s. Knowing that
the particle starts from the origin and that its velocity is 8 ft/s
during the zero acceleration time interval, (a) construct the
vt
and
x
t
curves for 0 t 14 s, (b) determine the
position and the velocity of the particle and the total distance
traveled when t 14 s.
Problem 11.62
A particle moves in a straight line with a constant acceleration
of 4 2
ft/s for 6 s, zero acceleration for the next 4 s, and a
constant acceleration of 4 2
ft/s for the next 4 s. Knowing that
the particle starts from the origin with 0
v 16 ft/s,
(a) construct the vt
and
x
t
curves for 0 t 14 s,
(b) determine the amount of time during which the particle is
further than 16 ft from the origin.
PROBLEM 11.62 (Continued)
PROBLEM 11.63
A particle moves in a straight line with the
velocity shown in the figure. Knowing that
540 mx
at t 0, (a) construct the at
and
x
t
curves for 0t
50 s, and
determine (b) the total distance traveled by
the particle when 50 s,t
(c) the two times
at which 0.x
SOLUTION
26
41
46
50
2
1
26 s: 420 (4)(20) 380 m
2
41s: 380 15(20) 80 m
20 5
46 s: 80 5 17.5 m
2
50 s: 17.5 4(5) 2.5 m
tx
tx
tx
tx
PROBLEM 11.63 (Continued)
PROBLEM 11.64
A particle moves in a straight line with the
velocity shown in the figure. Knowing that
540 mx
at t 0, (a) construct the at
and
x
t
curves for 0 50 s,t and
determine (b) the maximum value of the
position coordinate of the particle, (c) the
values of t for which the particle is at
100 m.x
26
41
46
50
2
1
26 s: 420 (4)(20) 380 m
2
41s: 380 15(20) 80 m
20 5
46 s: 80 5 17.5 m
2
50 s: 17.5 4(5) 2.5 m
tx
tx
tx
tx
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