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Topic Outline for Physics 1 Spring 2011

This topic outline for physics covers Newton's second law, translational dynamics, static equilibrium, work-energy, rotational dynamics, conservation laws, linear and rotational mechanics, measurements, vectors, kinematics, linear and rotational dynamics, potential energy, work and energy, systems of particles, and rotational variables.

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Topic Outline for Physics 1 Spring 2011

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  1. Topic Outlinefor Physics 1 Spring 2011

  2. NEWTONIAN MECHANICS forces & torques cause changes in the motion NEWTON’S SECOND LAW acceleration is proportional to net force IMPULSE-MOMENTUM impulse changes the linear momentum TRANSLATIONAL DYNAMICS movement from one place to another STATIC EQUILIBRIUM linear and rotational accelerations are zero WORK-ENERGY external work changes the total energy ROTATIONAL DYNAMICS rotation from one orientation to another 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 LINEAR MOMENTUM IS CONSERVED for isolated system of translating bodies ANGULAR MOMENTUM IS CONSERVED for isolated system of rotating bodies TOTAL ENERGY IS CONSERVED for isolated system of particles Linear and Rotational Mechanics: Logical Structure

  3. 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 dimensions

  4. 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 • Free body diagrams • Some particular forces • Newton’s third law • Application to sample problems • Pulley problems • Block sliding problems • Simple block on plane with friction • Simple equilibrium • Linear dynamics with friction • Dynamics summary • Friction basics • Static friction • Kinetic friction • Properties of friction and sample problems • Drag forces and terminal speed • Uniform circular motion - centripetal force • Free body diagrams • Sample problems with friction

  5. Physics 1 Topics - Checklist • Potential energy and energy conservation • Overview and summary • Potential energy • Conservative forces • Determining potential energy values • Gravitational potential energy • Elastic potential energy • Conservation of mechanical energy • Reading potential energy curves • Energy levels • Finding the force (gradient) • Turning points • Equilibrium points • Work done by external (non-conservative) forces • Work-energy theorem • Conservation of energy (general) • Isolated systems • Power • Work and Energy • Energy overview • Work • A simple constant force 1D • 3D, constant force - dot product • Units • Variable force 1D • General vector 3D definition with variable force • Work and kinetic energy • Kinetic energy • Simple derivation of work-ke theorem • General form of work-KE theorem • Gravitational force and examples • Variable (spring) force and examples. • Power

  6. Physics 1 Topics - Checklist • Systems of particles, momentum • Center of mass • 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 • 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

  7. Physics 1 Topics - Checklist • Rotational variables, kinetic energy • Translation and rotation • Rotational variables - kinematics of rotation • 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 • 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 • Rotational inertia/moment of inertia • Particles and rigid bodies • Parallel axis theorem definition • Proof of parallel axis theorem • Standard moments of inertia • 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

  8. Physics 1 Topics - Checklist 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 • Equilibrium • Overview - equilibrium defined • Conditions for equilibrium • Center of gravity • Definition • Finding it • When do mass center and CG not coincide? • Methods for equilibrium problems • Examples of static equilibrium problems • 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, resonance

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