Assignment 1 Statics W 609 ASS1
User Manual: W-609
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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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