Assignment 1 Statics W 609 ASS1

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PROBLEM 2.5
Two control rods are attached at A to lever AB. Using trigonometry and
knowing that the force in the left-hand rod is F1 = 120 N, determine
(a) the required force F2 in the right-hand rod if the resultant R of the
forces exerted by the rods on the lever is to be vertical, (b) the
corresponding magnitude of R.

[(a) 107.6 N

(b) 75.0 N]

PROBLEM 2.18
Solve the problem using trigonometry
Two forces P and Q are applied as shown at point A of a
hook support. Knowing that P = 60 N and Q = 100 N, determine
graphically the magnitude and direction of their resultant using (a) the
parallelogram law, (b) the triangle rule.
[148.6 N 2 76.6°]

PROBLEM 2.25
While emptying a wheelbarrow, a gardener exerts on each handle AB a
force P directed along line CD. Knowing that P must have a 135-N
horizontal component, determine (a) the magnitude of the force P, (b) its
vertical component.
[(a) 176.2 N

(b) 113.3 N]

PROBLEM 2.34
Determine the resultant of the three forces in Problem 2.34

[1160 N 3 6.68°]

PROBLEM 2.43
Two cables are tied together at C and are loaded as shown. Determine
the tension (a) in cable AC, (b) in cable BC.

[(a) 1984 N

(b) 2191 N]

PROBLEM 2.54
Two cables tied together at C are loaded as shown. Determine the
range of values of W for which the tension will not exceed 1050 N in
either cable.

[0 ≤ W ≤ 609 N]

PROBLEM 2.61
Two cables tied together at C are loaded as shown. Knowing that the
maximum allowable tension in each cable is 900 N, determine (a) the
magnitude of the largest force P which may be applied at C, (b) the
corresponding value of α.

[(a) 1215 N

(b) 77.5°]

PROBLEM 2.71
A load Q is applied to the pulley C, which can roll on the cable ACB.
The pulley is held in the position shown by a second cable CAD, which
passes over the pulley A and supports a load P. Knowing that P = 800 N,
determine (a) the tension in cable ACB, (b) the magnitude of load Q.

[(a) 2.30 kN

(b) 3.53 kN]
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