Fundamentals of Applied Physics (GSDR2115)
Higher Institute of Transport and Logistics (HITL)
Semester: First Semester
Level: 200
Year: 2018
First Semester Examination
School/Faculty: HITL DEPARTMENT: General Studies LECTURER(S): Dr. Dada Jean Pierre
Level: 200 SEMESTER: FIRST Academic Year: 2017/2018
COURSE CODE: TLGS 1115 COURSE TITLE: Fundamentals of Physics
DATE: 21/03/2018 HALL: HITL 01 & 02 Duration: 2hrs TIME: 9-11
Instructions: Answer all questions.
THE UNIVERSITY OF BAMENDA
P.O BOX 39 Bambili
REPUBLIC OF CAMEROON
Peace-Work-Fatherland
0 .
. 17 0
r.
Exercise 1: Kinematic of particle
All answers should be expressed on the basis
′,
,
,
not on the basis ′, , ,
On the plan OXY, a circle with the
radius R = OA turns with the constant
velocity with respect to the point O. One
draws at the moving center A two orthonormal
axis (
,
)
=
||
||
. At the time t = 0, A is
on OX axis ( and
, are collinear). At any
time the angle between and
is = (see
figure). A point M initially on the OX axis runs
on the circumference, in the right hand size
with instantaneous = 4 (See figure)
1) What is the fixed basis?
2) What is the basis in movement?
3) Give the expression of the vector position
4) Give the expression of the components of the absolute velocity
5) Give the expression of the components of the relative velocity vector
6) Give the expression of the components of the driven velocity vector
7) Verify the relation between absolute velocity vector and others
Recall:
driven
= Ω
X
+
(A).
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EXERCISE 3: A car with a vacuum mass (m
1
) moving with a velocity
encounters a box having a
mass (m
2
). The person driving the car has a mass (m
3
). After the collision, the system (car+driver+box)
with the velocity
become one object as shown on the figure:
1. Give in term of m
1
, m
2
and m
3
, the mass of the system after collision
2. What type of collision is the situation? Why?
3. Is the momentum of the system conserved after the collision? Why?
4. Is the kinetic energy of the system conserved after the collision? Why?
5. Give the expression of momentum of the system before and after the collision, in term of m
1
,
m
2
, m
3
,
or
6. Give the expression of kinetic energy of the system before and after the collision, in term of m
1
,
m
2
, m
3
,
or
7. Give the expression of velocity
of the system before and after the collision, in term of m
1
, m
2
,
m
3
,
8. Give the expression of the force created on the driver after the collision if the collision
happened in 1 second
9. What is the effect of that force on the driver during the accident?
10. The importance of rebounding is critical to the outcome of automobile accidents
10.1 Represent the system after collision if the car had a rebounding system.
10.2 When the car has rebounding system, does it protect the driver, the car or both driver and
car during accident?
10.3 What are automobile designers using to protect passengers when there is collision?
EXERCISE 4: Let us consider two points A(a, b, 0) of a fix basis. Numbers a, b, c and d are positive
constants. A force
=
!
"
, during the displacement of this force:
1. Calculate the work done by this force if the point M describes:
1.1. The segment AB from A(a, b, 0) to C(a,d,0)
1.2. The segment CD from C(a, d, 0) to D(c,d,0)
2. The work done by M when describing the segment ACD from A to C and C to D
3. Calculate the work done by this force if the point M describes:
3.1. The segment AB from A(0, b, 0) to B(0,b,0)
3.2. The segment BA from B(0, b, 0) to A(a,b,0)
3.3. The segment AC from A(a, b, 0) to C(a,d,0)
3.4. The segment CD from C(a, d, 0) to D(c,d,0)
4. The work done by M when describing the segment AB-BA-AC-CD
5. Calculate curl
6. Conclude.
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