Mechanics 1 (PHYS2101)
BSc, Physics - PHYS
Semester: Resit
Level: 200
Year: 2017
REPUBLIC OF CAMEROON THE UNIVERSITY OF BAMENDA
Peace-Work-Fatherland P.O BOX 39 Bambili
School/Faculty:__Science_______Department: _Physics_______Lecturer(s): Dr. Zambo__
Course Code:_PHYS2101_Course Title: Mechanics I_____Date: 03/05/2017__ Hall:____
Time: 14:30-17:30
Instructions: Answer clearly all questions. Put in box the final result
Exercise 1 (10 Marks)
Calculate the gradient of the function
Exercise 2 (10 Marks)
Calculate the circulation of a vector
along a circle of center O(0,0) and
radius 2 knowing that
, and
!"
#
Exercise 3 (10 Marks)
A fighter pilot is a loop. The circular path is located in a vertical plane. The speed is constant
and equal to 1800$%&'. Knowing that the human body cannot support acceleration higher than
10g(with g=10m%
"
), compute the minimum radius that the pilot can give to the path.
Exercise 4 (10 Marks)
A system of two pulleys connected by a belt are
considered (dee figure 1). The first pulley has a radius
(
)*+% and rotates at constant angular speed ,
-./01
"
, the second pulley has a radius (
/*+%.
1) Calculate the angular velocity of the second pulley.
2) The belt is marked 21 Calculate the acceleration of the
point 2 during the motion.
Figure 1
Exercise 5 (20 marks)
By considering the figure 2, the reference (
3
4
4
4
4
4
4
4
4
rotate around the 5 axis of the
reference (6 . The point 3 describes a circle of constant radius 0 at a constant angular
velocity ,
4
4
4
4
4
. In (
the point
describes a circle of radius and center 3, with the constant angular
velocity ,
4
4
4
4
4
.
Give:
1) The expression of the drift velocity of
. (5 marks)
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2) The expression of the relative of
(5 marks)
3) The expression of the drift acceleration. (5 marks)
4) The expression of the complementary acceleration. (5 marks)
Figure 1
Exercise 6 (10 marks)
Complete the following table:
The unit
Dimension
S.I unit
Length
(1)
(2)
Mass
(3)
(4)
Time
(5)
(6)
Volume
(7)
(8)
Luminous intensity
(9)
(10)
Force
(11)
(12)
Density of mass
(13)
(14)
Area
(15)
(16)
Velocity
(17)
(18)
Acceleration
(19)
(20)
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