Mechanics CH1-CH3
Chapter 2: Kinematics in 1D
Displacement 🛤
Change in X = X2-X1
Acceleration 🐎
Average Acceleration= Change of velocity / Time Elapsed 🛥
Constant Acceleration
s=ut+0.5at(t)
v(v)=u(u)+2as
v=u+at
V=v+u /2
Instantaneous Acceleration= dv / dt ⏱
Velocity 🚗
Average Velocity=Displacement / Time Elapsed
Instantaneous Velocity=dx / dt ⏱
Average Speed=Distance Travelled / Time Elapsed 🛵
Free Fall 🍎
Due to earth's gravity =9.8m/s 🌏
In the absence of the air resistance
All object fall with constant acceleration 🍂
Max height, V=0 :
Use the equation for constant acceleration
Numerical Integration
Chapter 1: Introduction, Measurement, Estimating
Introduction
Models 🔬
Law 💻
Theory 📰 ✏
Principle 📝
Measurements 📐
Very crucial in physics 🏎
Important to specify the uncertainty ⏱
Significant figures 🔢
Scientific Notation ➕ ➖
Uncertainty 🤔
Estimated Uncertainty
Percent Uncertainty
Physical Quantities ⚖
Base Quantity
Mass (kg)
Time (s)
Length (m)
Derived Quantity
Power (W)
Pressure (Pa)
Force (N)
Systeme International 🌐
Time=Second (s) ⏰
Mass=Kilogram (kg) 🏋🏻
Length=Meter (m) 📏
Accuracy ⏲
Refers to how close a measurement to the true value
Precision 🌡
The consistency of the results when the measurement is repeated
Dimensions 🔍
Combination of base quantities that comprise it
Dimensional Analysis 🔬
Chapter 3: Kinematics in 2D and 3D
Scalar 📏
Magnitude only
Scalar Product: A.B=lAl lBl cos (x)
Projectile Motion 🤾
Relative Velocity 🏎
Vector 🏁
Magnitude & Direction
Adding Vector
Adding vectors: Component Form
Vector Product : AxB = lAl lBl sin (x)
Unit vector
Vector Kinematics
Horizontal Equation
Vertical Equation:
The velocity of an object moving with respect to other moving object
The horizontal speed is always constant
The acceleration, g is always constant due to gravity g=-9.8ms
x=dt
v=u+at
v(v)=u(u)-2gs
s=ut-0.5gt(t)
v=u-gt
v(v)=u(u)+2as
s=ut+0.5at(t)