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Topic Outline
for Physics 1
Spring 2011
Spring 2011 1
Linear and Rotational Mechanics: Logical Structure
NEWTONIAN MECHANICS
forces & torques cause
changes in the motion
TRANSLATIONAL
DYNAMICS
movement from one place to
another
ROTATIONAL
DYNAMICS
rotation from one orientation
to another
NEWTON’S SECOND LAW
acceleration is proportional to net force
IMPULSE-MOMENTUM
impulse changes the linear momentum
STATIC EQUILIBRIUM
linear and rotational
accelerations are zero
WORK-ENERGY
external work changes the total energy
NEWTON’S SECOND LAW
angular acceleration is proportional to net torque
IMPULSE-MOMENTUM
angular impulse changes the angular momentum
ROTATIONAL WORK-ENERGY
external work changes the total energy, including rotational KE
CONSERVATION LAWS
some quantities remain constant
for an isolated system
TOTAL ENERGY IS CONSERVED
for isolated system of particles
LINEAR MOMENTUM IS CONSERVED
for isolated system of translating bodies
ANGULAR MOMENTUM IS CONSERVED
for isolated system of rotating bodies
Spring 2011
Physics 1 Topics - Checklist
Introduction to the course
Measurement
• Measurements
• Systems of units
• Conversion of units
Vectors
• Vectors and scalars
• Vector addition and
subtraction
• Components of vectors and
unit vectors
• Adding vectors by
components (analytic
method)
• Vectors and the laws of
physics
• Multiplying vectors:
– Scalar multiplication
– Dot product
– Cross product (vector
product
One dimensional motion
• Introduction to motion & kinematics,
definitions
• Position and displacement
• Average velocity, average speed
• Instantaneous velocity and speed
• Acceleration
• Constant accleration - a special case
• Kinematics equations
• Free fall acceleration
• Constant acceleration (using
integrals).
Two and three dimensional motion
• Position and displacement
• Average and instantaneous velocity
• Average and instantaneous
acceleration
• Kinematic equations in 2 & 3 D
• Projectile motion defined (free fall)
• Projectile motion analyzed, range
• Uniform circular motion
• Relative motion in one and two
Spring 2011
dimensions
Physics 1 Topics - Checklist
Linear dynamics
• Dynamics, some history
• What causes an acceleration
• Force
• Newton’s first law
• Where we can use the second
and third laws
• Mass
• Newton’s second law
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Free body diagrams
Some particular forces
Newton’s third law
Application to sample problems
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Linear dynamics with friction
• Dynamics summary
• Friction basics
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Static friction
Kinetic friction
Properties of friction and sample
problems
Drag forces and terminal speed
Uniform circular motion - centripetal
force
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Free body diagrams
Sample problems with friction
Pulley problems
Block sliding problems
Simple block on plane with
friction
Simple equilibrium
Spring 2011
Physics 1 Topics - Checklist
Work and Energy
• Energy overview
• Work
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Work and kinetic energy
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A simple constant force 1D
3D, constant force - dot product
Units
Variable force 1D
General vector 3D definition with
variable force
Kinetic energy
Simple derivation of work-ke
theorem
General form of work-KE theorem
Gravitational force and examples
Variable (spring) force and
examples.
Power
Potential energy and energy
conservation
• Overview and summary
• Potential energy
• Conservative forces
• Determining potential energy
values
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Conservation of mechanical
energy
Reading potential energy curves
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Gravitational potential energy
Elastic potential energy
Energy levels
Finding the force (gradient)
Turning points
Equilibrium points
Work done by external (nonconservative) forces
Work-energy theorem
Conservation of energy (general)
Isolated systems
Power
Spring 2011
Physics 1 Topics - Checklist
Systems of particles, momentum
• Center of mass
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Systems of particles
Solid bodies
Newtons second law for a
system of particles
Linear momentum
Linear momentum for a system
of particles
Conservation of linear
momentum
Systems with varying mass (A
rocket) - read only
Impulse and collisions
• What is a collision?
• Impulse and linear momentum
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Single collisions
Series of collisions
Momentum and kinetic energy
in collisions
Inelastic collisions in one
dimension
Elastic collisions in one
dimension
Collisions in two dimensions
Projectile collisions and
explosions
Spring 2011
Physics 1 Topics - Checklist
Rotational variables, kinetic energy
• Translation and rotation
• Rotational variables - kinematics of
rotation
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Angular position and displacement
Angular velocity and acceleration
Relating linear and angular variables
rotation with constant angular
acceleration
Kinetic energy of rotation
Angular quantities as vectors
Rotational inertia/moment of inertia
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Particles and rigid bodies
Parallel axis theorem definition
Proof of parallel axis theorem
Standard moments of inertia
Angular momentum
• Rolling
• Kinetic energy and forces of rolling
• Rotational quantities as vectors
• Cross product revisited
• Torque as a vector
• Angular momentum – conceptual
• Newton’s second law in angular form
• Angular momentum as a vector
• Angular momentum of a system of
particles
• Angular momentum of a rigid body
about a fixed axis
• Conservation of angular momentum
for particles, rigid bodies, and systems
Torque – rotational analog of force
— Moment arm for 2 dimensions
— Cross product, cross product review
Newton’s second law for rotation
Work and rotational kinetic energy
Spring 2011
Physics 1 Topics - Checklist
Equilibrium
• Overview - equilibrium defined
• Conditions for equilibrium
• Center of gravity
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Definition
Finding it
When do mass center and CG not
coincide?
Methods for equilibrium problems
Examples of static equilibrium
problems
Gravitation
• Newton’s law of gravitation
(force)
• Gravitational field (acceleration)
• Superposition
• Shell theorem
• Gravitational potential energy and
escape speed
• Kepler’s 3 laws: orbits, period,
radius
• Satellites and planets
• Orbits and energy
Oscillations
• Simple harmonic motion
• X(t), v(t), a(t) as trig functions
• The spring oscillator and the force
law for simple harmonic motion
• Kinetic and potential energy
• SHM: torsion pendulum, simple and
physical pendula
• Damped and forced oscillations,
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resonance