Name: ___________ MEEG 112-010, Statics: Spring 2010

Department of Mechanical Engineering Examination #1, 3/11/10

Closed book and notes. Only calculators permitted.

For full marks you must a) insert relevant diagrams, b) explain in a few words what you are doing, c) present solutions neatly, d) indicate units where relevant,

e) carry 3 significant figures, f) you may use both sides of the paper.

1. The shaft S exerts three force components on the die D. Find the magnitude and coordinate direction angles of the resultant force. (Note that force F2 acts in the all-positive octant shown.). NO F.B.D. NECESSARY for this question. (15 pts.)

2. Cable OA is used to support the column OB. Determine the angle θ that this cable makes with beam OC. (15 pts.)

3. Determine the tensions that are necessary in the cables in order to support the 100 kg crate in the equilibrium position shown. (20 pts.)

4. A 20 N horizontal force is applied perpendicular to the handle of the socket wrench as shown. Determine the magnitude and the coordinate direction angles of the moment created by this force about point. (20 pts.)

Name: ___________ MEEG 112-011, Statics: Spring 2010

Department of Mechanical Engineering Examination #1, 3/11/10

Closed book and notes. Only calculators permitted.

For full marks you must a) insert relevant diagrams, b) explain in a few words what you are doing, c) present solutions neatly, d) indicate units where relevant,

e) carry 3 significant figures, f) you may use both sides of the paper.

1. The mast is subjected to the three forces shown. Determine the coordinate direction angles α1, β1, γ1 of force F1 so that the resultant force acting on the mast is FR = {350i} N. NO F.B.D. NECESSARY for this question. (15 pts.)

2. Cable OA is used to support the column OB. Determine the angle φ that this cable makes with beam OD. (15 pts.)

3. The device shown below is used to haul the 200 kg net of fish onto the dock. Determine the compressive force along each of the legs AB and CB and the tension in the winch cable DB. Assume that the force in each leg acts along its axis. (20 pts.)

4. A 20 N horizontal force is applied perpendicular to the handle of the socket wrench as shown. Determine the magnitude and the coordinate direction angles of the moment created by this force about point O. (20 pts.)