Mechanics Review – SEMESTER 1 AP Physics C Mechanics Review – SEMESTER 1

Kinematics Position vs. displacement Speed vs. Velocity Acceleration Kinematic Equations for constant acceleration Vectors and Vector Addition Projectile Motion – x,y motion are independent Uniform Circular Motion

Kinematics – Motion in One and Two Dimensions Key Ideas and Vocabulary Motion in the x is independent from motion in the y Displacement, velocity, acceleration Graphical Analysis of Motion – x vs. t - Slope is velocity v vs. t - Slope is acceleration - Area is displacement a vs. t – Can be used to find the change in velocity Centripetal Acceleration is always towards the center of the circle

Kinematics – Motion in One and Two Dimensions Constant Acceleration Motion Equations Centripetal Acceleration 

TYPES OF PROBLEMS Applying the equations of motion in single direction Projectile motion. Projectile combined with circular or linear motion Relative motion – working with subscripts. Any other types ? List here

Newton’s Laws of Motion Newton’s Three Laws of Motion Inertia Fnet = ma Equal and opposite forces Force Weight vs. Mass Free Body Diagrams Tension, Weight, Normal Force Friction – Static and Kinetic, Air Resistance Centripetal Forces and Circular Motion Drag forces and terminal speed

Newton’s Laws of Motion Second Law Problems Newton’s Second Law – Draw free body diagram identifying forces on a single object Break forces into components Apply 2nd Law and solve x & y components simultaneously Inclined Plane – Rotate axes so that acceleration is in the same direction as the x-axis

Types of Problems Inclined plane Atwood’s machine Elevator Atwood’s in elevator Man pulling himself up using a pulley Pulley on a table Pulley on inclined plane Third Law and stack of books problems Any other types ? List here

Newton’s Laws of Motion Circular Motion Problems Draw free body diagram identifying forces on a single object Break forces into components Apply 2nd Law and solve x & y components simultaneously Remember that the acceleration is centripetal and that it is caused by some force

Types of Problems Uniform circular motion Horizontal circle Vertical Circle Centripetal acceleration and force. Linear velocity Relationship between Angular velocity, Time Period and Frequency Banked curves / Merry go round.. What supports the centripetal acceleration Any other types ? List here

Newton’s Laws of Motion Air Resistance – Drag Force Identify forces and draw free body diagrams May involve a differential equation Example: Separate variables and solve. Should end up with something that decreases exponentially Terminal Velocity – Drag force and gravity are equal in magnitude – Acceleration is equal to zero

Types of Problems Static, Kinetic Friction – How do they effectiveness of applied force Drag force Terminal velocity = constant velocity Hooke’s law. WD by spring as area under the curve of F(x) vs x graph Any other types ? List here

Work, Energy, Power Kinetic Energy Work – by constant force and variable force Spring Force Power Potential Energy – gravitational, elastic Mechanical Energy Conservation of Energy Work Energy Theorem

Work, Energy and Power Key Equations Work by a Constant Force Power Kinetic Energy Work-Energy Theorem

Types of Problems Work done by various forces and then finding net force. When is work + and when is it – When the angle between Force and displacement is not 0 Net WD = change in KE ( final – initial) Combination of gravity, spring, friction and inclined plane Any other types ? List here

Work, Energy and Power Key Equations

Types of Problems PE (U) and KE (k) Conservative and non conservative forces Law of Conservation of Energy Ki + Ui = Kf +Uf + Workdone of NC forces like friction Usage of this in Spring, in Gravitational field, pendulum Application of concepts of circular motion to roller coaster and energy transformation at various levels Any other types ? List here

Potential Energy Curves Slope of U curve is –F Total energy will be given, the difference between total energy and potential energy will be kinetic energy

Types of Problems Solving of min and max of a PE function Finding stable/ unstable equilibriums. Tracing Force and KE curves from PE curves Identifying turning points and forbidden ranges Finding maximum allowable energy level using K and U Any other types ? List here