Aje Taiwo Tutor
GEG 103
Friday 9th March, 2012.
Instructions
(i)
Write your Department, Matriculation Number and the Questions SET on your answer sheet.
(ii)
Shade CLEARLY the option that tallies with YOUR answer in each CASE.
(iii)
SUBMIT the questions PAPER with YOUR answer Sheet.


(c) U 2  U 1
Use for Q1-Q5
Use for Q6-Q8
Two base units vectors û1 and û 2 give the directions of



vectors U 1 and U 2 on 2-D Cartesian plane. Vector U 1 , is
   
Given that; r , a, b and  , t  S 
located at angle  from the vertical axis on the first quadrant
  
where S is any scalar quantity such that r  a  tb

whilst vector U 2 , is located at angle  from the horizontal
axis on the fourth quadrant.
1.
2.
3.
4.
6.


Express U 2 analytically along U 1


(a) U 2  U 2 sin  cos   sin  cos uˆ1


(b) U 2  U1 sin  cos   sin  cos uˆ 2


(c) U 2  U 2 sin  cos   sin  cos  uˆ1


(d) U 2  U1 sin  cos   sin  cos uˆ 2


Express U 1 analytically along U 2


(a) U1  U 2 sin  cos   sin  cos uˆ1


(b) U1  U 2 sin  cos   sin  cos uˆ 2


(c) U1  U 2 sin  cos   sin  cos uˆ1


(d) U1  U 2 sin  cos   sin  cos uˆ 2
7.
8.
(b) sin    n̂
(c) cos   n̂
(d) cos   n̂
the
analytical




 
 
 
 

b
ˆ
and b   , find an expression
b

a
Given that: aˆ  
a
  
for r  a  b

(b) eˆ AC  2 3 ˆj
(c) eˆ AC  0.5 3 ˆj (d) eˆ AC  2 ˆj
9.

Find the norm of the resultant vector along U 2


(a) U1 uˆ1  uˆ 2   U 2


(b) U 2 uˆ1  uˆ 2   U1




(c) U 2  U 1
(d) U 2  U1


Given that x 2 y  2 iˆ  ˆjx  2xy  5  0 ; which of the
following is TRUE?
(a) x 2  5x  4  0 (b) x 2  5 x  4  0
(c) x 2  5x  6  0 (d) x 2  5 x  6  0
10.
Find the norm of the resultant vector along U 1


(a) U 2 uˆ1  uˆ 2   U1


(b) U 2 uˆ1  uˆ 2   U1
Mock checks readiness for the real exam.
is
 
What is the equivalent of a  r ?
 

 
(a)  b 2  t a  b (b)  a 2  t a  b
 
 
(c)  a 2  t a  b (d)  b 2  t a  b
(a) eˆ AC   3 ˆj

5.

b
Given that; eˆb   , what
b

interpretation of r  eˆb ?

(a) êb is orthogonal to r


(b) Is the projection of r on b

(c) ê r is parallel to r

(d) êb is orthogonal to b

Deduce the analytical result for uˆ1  uˆ 2
(a) sin    n̂


(d) U 2  U1
11.
1


If a and b represent the position vectors of two points


A and B then 3a  2b are
(a) collinear
(b) coplanar
(c) orthogonal
(d) parallel
Which of the following is not true about force?
(a) It may change the motion of a body
(b) It may retard the motion of a body
Join us for the Revision Classes.
Aje Taiwo Tutor
GEG 103
Friday 9th March, 2012.
(c) It may give rise to the internal stresses in the body
on which it acts
(d) It may give rise to both internal and external stresses
simultaneously
12.
Use for Q16-Q17
In the figure below, the pulleys are frictionless and the system
hangs in equilibrium. If F3, the weight of the object on the
right is 200N:
Which of the following is/are correct method of
resolving forces?
(i) Analytical method
(ii) Method of resolution
(iii)Substitution method
(iv) Elimination method
(a) I and II
(b) I only
(c) III and IV only (d) IV only
Use for Q 13-14
A uniform pipe of weight 100N is used as a lever, as shown in
the figure below.
16.
17.
What is the value of F1?
(a) 44N (b) 256.9N (c) 250N
(d) 260N
What is the value of F2?
(a) 2280N (b) 130N (c) 150N
(d) 140N
Use for Q18-Q19
13.
Where must the pivot be placed if a 500N weight at one
end is to balance a 200N weight at the other end?
(a) The support should be placed 0.69 of the way from
the lighter-load end.
(b) The support should be placed 0.31 of the way from
the lighter-load end.
(c) The support should be placed at 0.50 of the way
from the lighter-load end.
(d) At the point of 0.020 of the way from the 500N.
14.
What is the reaction force exceeded by the support of
the pipe?
(a) 400N (b) 800N (c) 1000N
(d) 200N
15.
The object in the figure below is in equilibrium, find
the normal force FN.
(a) 300N (b) 500N (c) 400N
(d) 600N
The uniform 0.6kN beam is hinged at P as illustrated below.
18.
Find the tension in the tie rope.
(a) 2280N (b) 3480N (c) 500N
19.
Find the components of the reaction for exerted by the
hinge on the beam.
(a) 1750N, 65.6N (b) 2040N, 105.2N
(c) 420N, 840N
(d) 3400N, 200N
20.
Find the magnitude of the two forces, such that if they
act at right angles, their result if
at 60°, their resultant is 13 N
(a) 3N, 4N (b) 3N, 1N (c) 2N, 3N
Mock checks readiness for the real exam.
2
(d) 2400N
10 N. But if they act
(d) 3N, 5N
Join us for the Revision Classes.
Aje Taiwo Tutor
21.
22.
GEG 103
Friday 9th March, 2012.
The uniform bar shown in the figure below weighs 40N
and is subjected to the forces shown. Find the
magnitude, location and direction of the force needed to
keep the bar in equilibrium.
(a) 0.54kN, 0.68L from right end at 19°
(b) 0.44kN, 0.48L from right end at 29°
(c) 0.11kN, 0.68L from right end at 49°
(d) 1.0kN, 0.5L from left end at 49°
The cord (F1) is strong enough to withstand a
maximum tension of 80N (Fig. 6). What is the largest
value of Fw that can support as shown?
(a) 45N (b) 62N (c) 55N (d) 65N
26.
A distributed force is defined as
(a) Force acting over an area of a body
(b) Force acting at a spot on a body
(c) Area of the distributed force system
(d) Force acting over a definite portion in a defined
order
(e) Sum of all forces acting on a body
27.
A particle can be described as
(a) A solid object in space (b) A point on a rigid body
(c) An object in motion
(d) A force acting a point
(e) An arrangement of force on a body
Use for Q28-Q29
Fig Q4 shows the tension in tight and slack sides of a rope
passing round a pulley weighing 400N
23.
A smooth circular cylinder of radius 1.5M is lying in a
triangular groove, one side of which makes 15° and the
surfaces of contact if there is no friction and the
cylinder weighs 100N
(a) 31.6N, 78.5N (b) 44.5N, 38.4N
(c) 37.6N, 79.4N (d) 38.4N, 78.5N
Use for Q24-Q25
The uniform beam shown in the figure below is weighing
500N and supports a 700N load. Find:
24.
25.
The tension in the tie rope.
(a) 2.4kN (b) 3.9kN (c) 4.4kN
(d) 2.9kN
The force of the hinge of the beam.
(a) 2.4kN (b) 3.0kN
(c) 4.2kN
(d) 2.0kN
Mock checks readiness for the real exam.
3
28.
Determine the force required to put the pulley in a static
equilibrium position (N)
(a) 5500 (b) 6595 (c) 6400 (d) 4455 (e) 4965
29.
The angle  of the static equilibrium force with the
vertical (degree)
(a) 90
(b) 45.6 (c) 23.5 (d) 61
(e) 30.4
30.
An inclined force has two components on the surface of
a rigid body as
(a) Shearing and Axial force
(b) Tensile and Compressive force
Join us for the Revision Classes.
Aje Taiwo Tutor
GEG 103
Friday 9th March, 2012.
(c) Normal and Shearing force
(d) Bending and Parallel force
(e) Axial and Normal force
31.
Statically determinate truss must satisfy the given
equation
(a) j  2m  3
(b) 3  2 j  m
(c) m  2 j  3
(d) j  m  3
(e) m  3 j  2
35.
Determine the position of the centroid of the figure
from the x-axis
(a) 0.7
(b) 2.4 (c) 1.6 (d) 0.3 (e) 0.9
36.
Determine the position of the centroid of the figure
from the y-axis
(a) 0.4
(b) 0.8 (c) 0.5 (d) 0.7 (e) 0.1
37.
Calculate the moment of inertia about y – y axis
(a) 6834 ×103
(b) 1526 × 103
3
(c) 5700 × 10
(d) 4200 × 103 (e) 6574 × 103
38.
Calculate the moment of inertia about x – x axis
(a) 1520 × 103
(b) 625 × 103
3
(c) 420 × 10
(d) 887 × 103
(e) 483 × 103
Use for Q32-34
32.
33.
34.
Use for Q39-40
The reaction at supports A and B respectively are (kN)
(a) 12, 15
(b) 13, 14 (c) 13.5, 13.5
(d) 15, 12
(e) 10, 17
A push force P is applied parallel to an inclined plane on a
body of weight 50kN at rest. If   0.4 and   30
The force in member BC of the truss is (kN)
(a) 28
(b) 12 (c) 14 (d) 18 (e) 15
39.
Determine the push force for an impending motion up
the plane
(a) 42.32 (b) 12.78 (c) 28.5 (d) 4.7
(e) 30
40.
Determine the push force for an impending motion
down the plane
(a) 32.5 (b) 43.1 (c) 7.7
(d) 12.8 (e) 15.3
The force in member AF of the truss is (kN)
(a) 12
(b) 26 (c) 29 (d) 15 (e) 0
Use for Q35-38
A plane figure is bounded by the curve y  2  2 x 2 , the x =
axis , y-axis, and the ordinate at x = 1.
Mock checks readiness for the real exam.
4
Join us for the Revision Classes.