PROBLEM 4.19
The bracket BCD is hinged at C and attached to a control
cable at B. For the loading shown, determine (a) the
tension in the cable, (b) the reaction at C.
SOLUTION
PROBLEM 4.20
Solve Problem 4.19, assuming that
0.32 m.a
PROBLEM 4.19 The bracket BCD is hinged at C and
attached to a control cable at B. For the loading shown,
determine (a) the tension in the cable, (b) the reaction at C.
SOLUTION
PROBLEM 4.21
The 40-ft boom AB weighs 2 kips; the distance from the
axle A to the center of gravity G of the boom is 20 ft. For
the position shown, determine (a) the tension T in the cable,
(b) the reaction at A.
SOLUTION
PROBLEM 4.22
A lever AB is hinged at C and attached to a control cable at A. If
the lever is subjected to a 500-N horizontal force at B,
determine (a) the tension in the cable, (b) the reaction at C.
SOLUTION
PROBLEM 4.23
For each of the plates and loadings shown, determine the reactions at A and B.
SOLUTION
(a)
Free-Body Diagram:
PROBLEM 4.23 (Continued)
(b)
Free-Body Diagram:
PROBLEM 4.24
For each of the plates and loadings shown, determine the reactions at A and B.
SOLUTION
(a)
Free-Body Diagram:
PROBLEM 4.24 (Continued)
(b)
PROBLEM 4.25
A rod AB hinged at A and attached at B to cable BD
supports the loads shown. Knowing that 200 mm,d
determine (a) the tension in cable BD, (b) the reaction at A.
SOLUTION
Free-Body Diagram:
PROBLEM 4.26
A rod AB, hinged at A and attached at B to cable BD,
supports the loads shown. Knowing that 150 mm,d
determine (a) the tension in cable BD, (b) the reaction at A.
SOLUTION
Free-Body Diagram:
PROBLEM 4.27
Determine the reactions at A and B when (a)
0, (b)
90,
(c)
30.
SOLUTION
(a)
0
0: (20 in.) 75 lb(10 in.) 0
37.5 lb
A
MB
B
PROBLEM 4.27 (Continued)
(c)
30
0: ( cos 30°)(20 in.) ( sin 30 )(12 in.)
(75 lb)(10 in.) 0
A
MB B
PROBLEM 4.28
Determine the reactions at A and C when (a) 0,
(b)
30 .
SOLUTION
(a)
0
From F.B.D. of member ABC:
0: (300 N)(0.2 m) (300 N)(0.4 m) (0.8 m) 0
C
MA
225 NA
or 225 N
A
PROBLEM 4.28 (Continued)
0: (365.24 N) cos30 0
yy
FC
PROBLEM 4.29
Rod ABC is bent in the shape of an arc of circle of radius R. Knowing the
30, determine the reaction (a) at B, (b) at C.
SOLUTION
Free-Body Diagram:
0: () () 0
Dx
MCRPR
x
CP
PROBLEM 4.30
Rod ABC is bent in the shape of an arc of circle of radius R. Knowing that
60, determine the reaction (a) at B, (b) at C.
SOLUTION
See the solution to Problem 4.33 for the free-body diagram and analysis leading to the following
expressions:
x
CP
PROBLEM 4.31
Neglecting friction, determine the tension in cable ABD and the
reaction at C when
60.
SOLUTION
0: (2 cos ) 0
C
MTaaTaPa
1cos
P
T
(1)
PROBLEM 4.32
Neglecting friction, determine the tension in cable ABD and the
reaction at C when
45.
SOLUTION
Free-Body Diagram:
PROBLEM 4.33
A force
P
of magnitude 90 lb is applied to member ACDE, which is
supported by a frictionless pin at D and by the cable ABE. Since the
cable passes over a small pulley at B, the tension may be assumed to
be the same in portions AB and BE of the cable. For the case when
a 3 in., determine (a) the tension in the cable, (b) the reaction at D.
SOLUTION
Free-Body Diagram:
PROBLEM 4.34
Solve Problem 4.33 for a 6 in.
PROBLEM 4.33
A force
P
of magnitude 90 lb is applied to member
ACDE, which is supported by a frictionless pin at D and by the cable
ABE. Since the cable passes over a small pulley at B, the tension may
be assumed to be the same in portions AB and BE of the cable. For
the case when a 3 in., determine (a) the tension in the cable, (b) the
reaction at D.
SOLUTION
Free-Body Diagram: