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№1 слайд![Republic of Kazakhstan](/documents_6/b6e82b1578b72c198638950c086923aa/img0.jpg)
Содержание слайда: Republic of Kazakhstan
Republic of Kazakhstan
Ministry of Education and Science
Kazakh-British Technical University
Faculty of Power and Oil and Gas Industry
Physical Engineering Department
Physics 1
Voronkov Vladimir Vasilyevich
№2 слайд![Physics Mechacnics Molecular](/documents_6/b6e82b1578b72c198638950c086923aa/img1.jpg)
Содержание слайда: Physics 1
Mechacnics
Molecular physics and Thermodynamics
Electricity
Magnetism
№3 слайд![Lecture SUBJECTS Mechanics](/documents_6/b6e82b1578b72c198638950c086923aa/img2.jpg)
Содержание слайда: Lecture 1
SUBJECTS:
Mechanics
Kinematics
Rectilinear motion
Projectile motion
Uniform circular motion
№4 слайд![Mechanics Mechanics is the](/documents_6/b6e82b1578b72c198638950c086923aa/img3.jpg)
Содержание слайда: Mechanics
Mechanics is the science of motion and its cause.
Kinematics is the mathematical description of motion.
№5 слайд![Main terms of Kinematics](/documents_6/b6e82b1578b72c198638950c086923aa/img4.jpg)
Содержание слайда: Main terms of Kinematics
Displacement is the change in the position of an object.
one-dimensional: ∆x= x2 - x1
many-dimensional:
Average velocity is the distance traveled per unit of time:
Instantaneous velocity is the velocity at infinitely small interval:
or the same
№6 слайд![Average acceleration is the](/documents_6/b6e82b1578b72c198638950c086923aa/img5.jpg)
Содержание слайда: Average acceleration is the total change in velocity per unit of time:
Average acceleration is the total change in velocity per unit of time:
Instantaneous acceleration is the change in velocity per unit of time at infinitely small time:
Gravitational motion is the motion when gravitational acceleration g=9.8 m/s2 takes part. For example: rocket motion.
№7 слайд![Displacement at constant](/documents_6/b6e82b1578b72c198638950c086923aa/img6.jpg)
Содержание слайда: Displacement at constant acceleration in rectilinear motion :
Displacement at constant acceleration in rectilinear motion :
Where r0 and V0 is initial displacement and velocity at t=0, a is constant acceleration.
№8 слайд![Rectilinear motion in](/documents_6/b6e82b1578b72c198638950c086923aa/img7.jpg)
Содержание слайда: Rectilinear motion in graphics
A) Object stands still.
B) Object moves with constant speed.
№9 слайд![Another example of](/documents_6/b6e82b1578b72c198638950c086923aa/img8.jpg)
Содержание слайда: Another example of rectilinear motion
№10 слайд![The car motion in table The](/documents_6/b6e82b1578b72c198638950c086923aa/img9.jpg)
Содержание слайда: The car motion in table
The car motion in table
№11 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img10.jpg)
№12 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img11.jpg)
№13 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img12.jpg)
№14 слайд![Velocity and acceleration](/documents_6/b6e82b1578b72c198638950c086923aa/img13.jpg)
Содержание слайда: Velocity and acceleration
№15 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img14.jpg)
№16 слайд![Projectile motion is a](/documents_6/b6e82b1578b72c198638950c086923aa/img15.jpg)
Содержание слайда: Projectile motion is a gravitational motion but the object has no its own acceleration. So the motion goes with constant gravitational acceleration. For example: cannonball motion.
Projectile motion is a gravitational motion but the object has no its own acceleration. So the motion goes with constant gravitational acceleration. For example: cannonball motion.
Usual method for solving projectile motion problems:
Separate the motion into two parts: vertical and horizontal: so we have:
two coordinates x and y
two velocities Vx and Vy
one acceleration ay =-g, and ax=0
№17 слайд![Then one should determine the](/documents_6/b6e82b1578b72c198638950c086923aa/img16.jpg)
Содержание слайда: Then one should determine the elevation angle Θ0 - the initial angle to horizon.
Then one should determine the elevation angle Θ0 - the initial angle to horizon.
So the trajectory of an object in the gravitational field can be described as following:
x= V0CosΘ0 t,
y= V0SinΘ0 t – gt2/2.
Let’s designate R as the range the object travels from zero height (y=0) till its fall (y=0 again) then we can calculate it as
R=V02Sin(2Θ0)/g.
Flight time t: it’s easy (using the equation dy/dt = 0) to find that the time of ascent is V0SinΘ0/g, then the full flight time is double:
tflight= 2V0SinΘ0/g.
Using the flight time one can find:
the maximal height,
the range of flight (the maximum range of flight from zero height (y=0) till the fall of the object (y=0 again)).
№18 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img17.jpg)
№19 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img18.jpg)
№20 слайд![Circular uniform motion](/documents_6/b6e82b1578b72c198638950c086923aa/img19.jpg)
Содержание слайда: Circular uniform motion
Uniform circular motion is performed with constant speed along a circular path. Circular motion is a special case of motion on a plane. Its coordinates is angular coordinate φ and radius r. The angular speed is defined as:
The linear speed relates to the angular speed as:
Period T is the time of one full revolution:
T=
№21 слайд![](/documents_6/b6e82b1578b72c198638950c086923aa/img20.jpg)
№22 слайд![Units in SI Displacementx,ym](/documents_6/b6e82b1578b72c198638950c086923aa/img21.jpg)
Содержание слайда: Units in SI
Displacement x,y m
Velocity V m/s
Acceleration a,g m/s2
Angle φ rad
Angular speed rad/s
Period T s
№23 слайд![Read before the next Lecture](/documents_6/b6e82b1578b72c198638950c086923aa/img22.jpg)
Содержание слайда: Read before the next Lecture
Fishbane Chapters 4,5 pp.87-150
Russian equivalents:
Трофимова Т.И. Курс физики. Глава 2 Динамика материальной точки.
Савельев И.В. Курс общей физики. Т.1. Глава 2 Динамика материальной точки.