2103211 Statics (sect 6) – Class 1-1
Assignment Date: Wednesday 8 June 2011 Submission Date: In Class
Name ID No 1. Define this tensile force v=2ˆ−1ˆ+3 kN ˆ
P i j k which acts at A(1,2,0) m by various means.
unit vector coordinates
directional cosines elevated angles, xy plane
elevated angles, yz plane elevated angles, zx plane
2. Draw the following force vector or fill in the blanks as appropriate
ˆ ˆ ˆ
3 4 5 N acting at (1,2,0) m
= − +
=
Fv i j k
F
=5 kN
v= A A
acting at
10 kN
=
= Pv P
10 kN and is at 50° to the plane.
acting at
=
v=
T xy
T
ˆ ˆ
3 6 N acting at (0,2,1) m
W i j
W
= −
= v
2142111 Statics – Class 1-2
Assignment Date: Friday 13 January 2012 Submission Date: In Class
Name ID No 1. Find the parallel perpendicular components of Fv
with respect to the line OA by scalar and vector approaches.
Given F=10 kN.
2. Find the moment of force Fv
about point A and moment of Fv
about line AB by scalar and vector approaches.
Given 10 F= kN.
3. Given P=5 kN and F=10 kN. Using scalar and vector approaches, determine (1) the 2 resulting couples (d) the summation of these two couples and (3) the moment of these 4 forces about point C.
4. Write down the Cartesian vector of force P, then, find the moments of F and P about the point A and the line AO, where O is the origin.
2142111 Statics – Class 1-3
Assignment Date: Friday 20 January 2012 Submission Date: In Class
Name ID No 1. Define by drawing in the diagram and then determine (1) the resultant at point A, (2) a single force system,
passing through x axis at distance d from the origin and (3) a single force system, passing through y axis at distance l from the origin. If the resultants are calculated at all points in the plate, sketch the line that separates the plate section with CW resultant couples from plate section with the CCW resultant couples inn the last blank diagram.
2. Combine the forces shown into an equivalent resultant at point O and a couple. Then, determine the equivalent wrench passing through the x-y plane
2142111 Statics – Class 1-4
Assignment Date: Friday 20 January 2012 Submission Date: In Class
Name ID No 1. From the rigid beam under a system of forces and moments,
a) Write down the resultant about point B on the blank figure.
(1 pt)
b) Determine the resultant about point B. (7 pts)
c) Can we replace the force system by a single force whose line of action passes through the beam? Why? (2 pts)
2. The 50-kg pole OA has the center of gravity at point G.
When the pole OA is in the position shown, the tension in cable AB is 27 kN. Answer question (a) to (d)
(a) Write the tension force exert on point A as a vector using the coordinate shown. (2 pts)
(b) Determine the moment of this tension force about point O and state the moments about the x-, y- and z- axes. (3 pts)
(c) Determine the moment, as a vector, of this tension force about line AO. (2 pts)
(d) Replace this force system by an equivalent force- couple system at point O. Draw a diagram to show how resultant force and couple moment apply at point O. (3 pts)
