Engr examples - City College of San Francisco Department of...

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City College of San Francisco Department of Engineering ENGN 36 Engineering Mechanics: Statics Homework Problem Sets
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Set #1 1. The cable stays AB and AD help support pole AC. Knowing that the tension is 500 N in AB and 160 N in AD, determine graphically the magnitude and direction of the resultant of the forces exerted by the stays at A using a) the parallelogram law, b) the triangle rule. Answer: R = 575N at a standard angle of 247 o 2. Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 15lb and Q = 25 lb, determine graphically the magnitude and direction of their resultant using a) the parallelogram law, b) the triangle rule. Answer: R = 37 lb at a standard angle of -76 o 3. Two control rods are attached at A to lever AB. Using trigonometry and knowing that the force in the right-hand rod is F 2 = 80 N, determine a) the required force F 1 in the left-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 . Answer: F 1 = 89.2N R = 55.8 N
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Set #2 1. 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 , C b) its vertical component. A 40 o D Answer: P=176.2N Py =113.3N B 2. Activator rod AB exerts on crank BCD a force P directed along line AB. Knowing that P must have a 25-lb component perpendicular to arm BC of the crank, determine a) the magnitude of the force P , b) its component along line BC. Answer: P=25.9 lb P x =6.7 lb 3. Knowing that α = 65 o , determine the resultant of the three forces shown. Answer: R = 1019N at a standard angle of 26.1 o
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Set #3 1. Knowing that α = 25 o , determine the tension a) in cable AC, b) in rope BC. Answer: T AC =5.23 kN T BC =0.503 kN 2. A chairlift has been stopped in the position shown. Knowing that each chair weighs 300 N and that the skier in chair E weighs 890 N, determine the weight of the skier in chair F. Answer: W=1309 N 3. Two forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that the magnitudes of the forces exerted on rods A and B are F A = 600 lb and F B = 320 lb, determine the magnitudes of P and Q . Answer: Q=42.1 lb P = 457 lb 4. 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. Answer: 0 <= W <= 609N
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Set #4 α 1. The cabin of an aerial tramway is suspended from a set of wheels that can roll freely on the support cable ACB and is being pulled at a constant speed by cable DE. Knowing that α = 42 o and β = 32 o , that the tension in cable DE is 20 kN, and assuming the tension in cable DF to be negligible, β determine a) the combined weight of the cabin, its support system, and its passengers, b) the tension in the support cable ACB.
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This note was uploaded on 08/11/2010 for the course ENGN 36 taught by Professor F during the Spring '10 term at Punjab Engineering College.

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Engr examples - City College of San Francisco Department of...

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