Wright State University Fall 2014 Department of Mechanical and Materials Engineering ME 2120 STATICS: MIDTERM EXAM 1 Open Book, Closed Notes, Do Not Write on This Sheet, Show All Work All Results Must Show at Least Three Significant Digits Problem 1 (30 points): The cable and pulley system shown is used by a camper to hoist a backpack into a tree to keep it out of the reach of bears. If the weight of the backpack is W = 60 lb, determine the tension in cables AB and AC. Problem 2 (35 points): The object at D is supported by boom AO and by cables AB, AC, and AD, which are parallel to the x, y, and z axes, respectively. If the mass of object D is m D = 100 kg, determine the forces supported by the boom and the three cables. See back of this page for Problem 3.
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Wright State University Fall 2014
Department of Mechanical and Materials Engineering
ME 2120 STATICS: MIDTERM EXAM 1
Open Book, Closed Notes, Do Not Write on This Sheet, Show All Work
All Results Must Show at Least Three Significant Digits
Problem 1 (30 points): The cable and pulley system shown is used by a camper to hoist a backpack into a tree
to keep it out of the reach of bears. If the weight of the backpack is W = 60 lb, determine the tension in cables AB and AC.
Problem 2 (35 points): The object at D is supported by boom AO and by cables AB, AC, and AD, which are
parallel to the x, y, and z axes, respectively. If the mass of object D is mD = 100 kg, determine the forces
supported by the boom and the three cables.
See back of this page for Problem 3.
Wright State University Fall 2014
Department of Mechanical and Materials Engineering
ME 2120 STATICS: MIDTERM EXAM 1
Open Book, Closed Notes, Do Not Write on This Sheet, Show All Work
All Results Must Show at Least Three Significant Digits
Problem 3 (35 points): If the structure shown is subjected to couple forces applied at points A and B and the
force applied at A is ⃗ ( ) ̂ ( ) ̂ ( ) ̂ lb, determine the moment of the couple about line a. Line a has direction angles θx = 72º, θy = 36º, and θz = 60º.
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