Mechacnics. Molecular physics and Thermodynamics. Electricity. Magnetism

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Physics 1 Mechacnics Molecular physics and Thermodynamics Electricity Magnetism

Physics 1

Mechacnics
Molecular physics and Thermodynamics
Electricity
Magnetism

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Lecture 1 SUBJECTS: Mechanics Kinematics Rectilinear motion Projectile motion Uniform circular motion

Lecture 1

SUBJECTS:
Mechanics
Kinematics
Rectilinear motion
Projectile motion
Uniform circular motion

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Mechanics Mechanics is the science of motion and its cause. Kinematics

Mechanics

Mechanics is the science of motion and its cause.
Kinematics is the

mathematical description of motion.
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Main terms of Kinematics Displacement is the change in the position

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
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Average acceleration is the total change in velocity per unit of

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.
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Displacement at constant acceleration in rectilinear motion : Where r0 and

Displacement at constant acceleration in rectilinear motion :
Where r0 and V0

is initial displacement and velocity at t=0, a is constant acceleration.
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Rectilinear motion in graphics A) Object stands still. B) Object moves with constant speed.

Rectilinear motion in graphics

A) Object stands still.
B) Object moves with constant

speed.
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Another example of rectilinear motion

Another example of rectilinear motion

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The car motion in table

The car motion in table

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Velocity and acceleration

Velocity and acceleration

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Projectile motion is a gravitational motion but the object has no

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
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Then one should determine the elevation angle Θ0 - the initial

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)).
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R =V02Sin(2Θ0)/g

R =V02Sin(2Θ0)/g

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Circular uniform motion Uniform circular motion is performed with constant speed

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 ω is defined as:
The linear speed relates to the angular speed as:
Period T is the time of one full revolution:
T= 2π/ω.
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Units in SI Displacement x,y m Velocity V m/s Acceleration a,g

Units in SI

Displacement x,y m
Velocity V m/s
Acceleration a,g m/s2
Angle φ rad
Angular speed ω rad/s
Period T s