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PROBLEM 3.39
Knowing that the tension in cable AC is 280 lb, determine
(a) the angle between cable AC and the boom AB, (b) the
projection on AB of the force exerted by cable AC at point
A.
PROBLEM 3.40
Knowing that the tension in cable AD is 180 lb, determine
(a) the angle between cable AD and the boom AB, (b) the
projection on AB of the force exerted by cable AD at point
A.
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PROBLEM 3.41
Ropes AB and BC are two of the ropes used to
support a tent. The two ropes are attached to a
stake at B. If the tension in rope AB is 540 N,
determine (a) the angle between rope AB and
the stake, (b) the projection on the stake of the
force exerted by rope AB at Point B.
PROBLEM 3.42
Ropes AB and BC are two of the ropes used to
support a tent. The two ropes are attached to a
stake at B. If the tension in rope BC is 490 N,
determine (a) the angle between rope BC and
the stake, (b) the projection on the stake of the
force exerted by rope BC at Point B.
PROBLEM 3.43
The 20-in. tube AB can slide along a horizontal rod. The ends A
and B of the tube are connected by elastic cords to the fixed point
C. For the position corresponding to x = 11 in., determine the
angle formed by the two cords (a) using Eq. (3.32), (b) applying
the law of cosines to triangle ABC.
PROBLEM 3.44
Solve Prob. 3.43 for the position corresponding to x = 4 in.
PROBLEM 3.43 The 20-in. tube AB can slide along a horizontal
rod. The ends A and B of the tube are connected by elastic cords
to the fixed point C. For the position corresponding to x = 11 in.,
determine the angle formed by the two cords (a) using Eq. (3.32),
(b) applying the law of cosines to triangle ABC.
PROBLEM 3.45
Determine the volume of the parallelepiped of Fig. 3.25 when
(a) P = 4i − 3j + 2k, Q = −2i − 5j + k, and S = 7i + j − k,
(b) P = 5i − j + 6k, Q = 2i + 3j + k, and S = −3i − 2j + 4k.
PROBLEM 3.46
Given the vectors P = 3i – j + k, Q = 4i + Qyj – 2k, and S = 2i – 2j + 2k, determine the
value of Qy for which the three vectors are coplanar.
PROBLEM 3.47
A crane is oriented so that the end of the 25-m boom AO lies in
the yz plane. At the instant shown, the tension in cable AB is
4 kN. Determine the moment about each of the coordinate axes
of the force exerted on A by cable AB.
PROBLEM 3.48
The 25-m crane boom AO lies in the yz plane. Determine the
maximum permissible tension in cable AB if the absolute value
of moments about the coordinate axes of the force exerted on A
by cable AB must be
|Mx| ≤ 60 kN∙m, |My| ≤ 12 kN∙m, |Mz| ≤ 8 kN∙m
22
22
()()
(25 m) (15 m)
20 m
OC OA AC= −
= −
=
