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.)