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PROBLEM 2.9
A disabled automobile is pulled by means of two
ropes as shown. Knowing that the tension in rope
AB is 3 kN, determine by trigonometry the tension
in rope AC and the value of α so that the resultant
force exerted at A is a 4.8-kN force directed along
the axis of the automobile.
PROBLEM 2.10
Two forces are applied as shown to a hook support. Knowing that the
magnitude of P is 35 N, determine by trigonometry (a) the required
angle
α
if the resultant R of the two forces applied to the support is to
be horizontal, (b) the corresponding magnitude of R.
PROBLEM 2.11
A steel tank is to be positioned in an excavation. Knowing
that
α
= 20°, determine by trigonometry (a) the required
magnitude of the force P if the resultant R of the two
forces applied at A is to be vertical, (b) the corresponding
magnitude of R.
PROBLEM 2.12
A steel tank is to be positioned in an excavation. Knowing
that the magnitude of P is 500 lb, determine by
trigonometry (a) the required angle
α
if the resultant R of
the two forces applied at A is to be vertical, (b) the
corresponding magnitude of R.
PROBLEM 2.13
A steel tank is to be positioned in an excavation.
Determine by trigonometry (a) the magnitude and
direction of the smallest force P for which the resultant R
of the two forces applied at A is vertical, (b) the
corresponding magnitude of R.
PROBLEM 2.14
For the hook support of Prob. 2.10, determine by trigonometry (a) the
magnitude and direction of the smallest force P for which the resultant
R of the two forces applied to the support is horizontal, (b) the
corresponding magnitude of R.
PROBLEM 2.15
For the hook support shown, determine by trigonometry the
magnitude and direction of the resultant of the two forces applied
to the support.
PROBLEM 2.16
Solve Prob. 2.1 by trigonometry.
PROBLEM 2.1
Two forces are applied as shown to a hook. Determine graphically the
magnitude and direction of their resultant using (a) the parallelogram law,
(b) the triangle rule.
PROBLEM 2.17
Solve Problem 2.4 by trigonometry.
PROBLEM 2.4 Two structural members B and C are bolted to bracket
A. Knowing that both members are in tension and that P = 6 kips and
Q = 4 kips, determine graphically the magnitude and direction of the
resultant force exerted on the bracket using (a) the parallelogram law,
(b) the triangle rule.
PROBLEM 2.18
For the stake of Prob. 2.5, knowing that the tension in one rope is 120 N,
determine by trigonometry the magnitude and direction of the force P so
that the resultant is a vertical force of 160 N.
PROBLEM 2.5 A stake is being pulled out of the ground by means of two
ropes as shown. Knowing that α = 30°, determine by trigonometry (a) the
magnitude of the force P so that the resultant force exerted on the stake is
vertical, (b) the corresponding magnitude of the resultant.
