CHAPTER 2
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 2.2
Two forces are applied as shown to a bracket support. Determine
graphically the magnitude and direction of their resultant using
(a) the parallelogram law, (b) the triangle rule.
PROBLEM 2.3
Two structural members B and C are bolted to bracket A. Knowing that
both members are in tension and that P = 10 kN and Q = 15 kN,
determine graphically the magnitude and direction of the resultant force
exerted on the bracket using (a) the parallelogram law, (b) the triangle
rule.
PROBLEM 2.4
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 2.5
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.
PROBLEM 2.6
A telephone cable is clamped at A to the pole AB. Knowing that the
tension in the left–hand portion of the cable is T1 = 800 lb, determine
by trigonometry (a) the required tension T2 in the right–hand portion if
the resultant R of the forces exerted by the cable at A is to be vertical,
(b) the corresponding magnitude of R.
PROBLEM 2.7
A telephone cable is clamped at A to the pole AB. Knowing that the
tension in the right–hand portion of the cable is T2 = 1000 lb, determine
by trigonometry (a) the required tension T1 in the left–hand portion if
the resultant R of the forces exerted by the cable at A is to be vertical,
(b) the corresponding magnitude of R.
PROBLEM 2.8
A disabled automobile is pulled by means of two
ropes as shown. The tension in rope AB is 2.2 kN,
and the angle α is 25°. Knowing that the resultant
of the two forces applied at A is directed along the
axis of the automobile, determine by trigonometry
(a) the tension in rope AC, (b) the magnitude of the
resultant of the two forces applied at A.