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# SAMPLE PROBLEM SETS (DOC)

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```									CIV-101F                                                                   Sample Problem Sets
Section J                                                                            Fall 2006

SAMPLE PROBLEM SETS
MODULE -2

Question M2-1

For the force A= 2i – 6j – 9k that is exerted at point (3, 7, -2), find:
a) The moment of A about the origin
b) The moment of A about point B (0,4,-5)
c) The moment of A about point C (3,7, 2)

Question M2-2

Consider the following points in space:
A(-1, 5, -3)
B(0, 6, 2)
C(7, -3, 3)
a) Find the angle formed by vectors AB and AC.
b) Find the magnitude of the component of AB in the direction of AC

Question M2-3

The 7m tree trunk is held stable by 2 cables BC and
BA. Knowing that TBA= 555N, TBC=660N. Determine
the moment produced by the resultant of the 2 forces
CIV-101F                                                Sample Problem Sets
Section J                                                         Fall 2006

Question M2-4
The shown boom carries a 4kN load as shown. Find the
magnitude of the tension force in cables BD and BE.

Question M2-5

Three children standing on a 5x5m mat at the
shown positions have the following weights:
A: 375N
B: 260N
C: 400N
Where on the raft should a fourth child
weighing 425N stand if the resultant of their
weights is to pass through the center of the
raft?
Hint: Try taking moments about the x and z
axis.

Question M2-6

The 6m pole is supported at A by a pin support and by
the two cables shown. A 455N acts at C as shown. For
a=3m find the forces in cables BE and BD and the 3
reaction components at A.
CIV-101F                                                                     Sample Problem Sets
Section J                                                                              Fall 2006

Question M2-7

The turnbuckle is tightened until the tension in the
cable AB is 1.2KN. Assuming the arm weighs                   Arm
0.4KN and the pole weighs 1.5kN, find the reaction
components at the fixed connection at O.
You can assume the center of gravity of the arm is in
the middle [@ (0.8, 0, 2)]. Of course you would
normally find that as in problem 1.                                               Pole

Question M2-8

The pipe assembly supports the vertical loads shown. Determine the components of the reaction
at the ball-and-socket joint A and the tension in the supporting cables BC and BD
CIV-101F                                                                    Sample Problem Sets
Section J                                                                             Fall 2006

Question M2-9

The uniform rod AB which has a mass of 45 kg is supported at A by a ball-and-socket, at B by a
smooth vertical wall in the y-z plane, and by cable CD. Point C is 240 mm above the x-z plane.
Determine the force in the cable.

Question M2-10

The beam BC is subjected to the shown
single rope tied at A and B. Find the reaction
components at C and the tension in the rope
[Note: you have to show a FBD].
CIV-101F                                                            Sample Problem Sets
Section J                                                                     Fall 2006

Question M2-11

The boom AB of weight 50kN is supported
by a ball-and-socket joint at A and by the two
cables at B. The boom is subjected to two                       F
forces of magnitude 75kN and 140kN that act
in the x-y plane [the 75KN force is parallel to        8m
the Y axis].
a. Calculate the tension in each cable and the
reaction components at A [Note: you have to       6m
show a FBD]
b. if the weight of the boom is 3000kg, which               E
values in “a” would change? By How much?

Question M2-12

The pipe AD is subjected to a 800N.m couple
that twists the pipe around the y and z axis as
well as a 500N force acting as shown. The
pipe is supported by a ball and socket at D, a
cable at B and a bearing at A that provides
only 2 reaction components in the x and y
directions.
Determine the force in cable CB and the 2
reaction components at A.
CIV-101F                                                   Sample Problem Sets
Section J                                                            Fall 2006

Question M2-13

The concrete slab is being hoisted with
constant velocity using the cable
arrangement shown. If the slab has a
mass of 1800 kg and a center of gravity
at G determine the tension in the
1m
supporting cables AC, BC and DE.
1.5m
2m
1.5m
1m

Question M2-14
200mm
A building column is subjected to a
1500N force acting at the end of a                                   1500N
supporting bracket. Replace this force
with an equivalent force and couple
moment acting:
a) At point O
b) At point A

3200mm

120mm
90mm

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