Spring Topic Outline for Physics 1 Spring 2011

Spring 2011 Linear and Rotational Mechanics: Logical Structure 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 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 WORK-ENERGY external work changes the total energy IMPULSE-MOMENTUM impulse changes the linear momentum NEWTON’S SECOND LAW acceleration is proportional to net force ROTATIONAL WORK-ENERGY external work changes the total energy, including rotational KE IMPULSE-MOMENTUM angular impulse changes the angular momentum NEWTON’S SECOND LAW angular acceleration is proportional to net torque STATIC EQUILIBRIUM linear and rotational accelerations are zero

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 dimensions

Spring 2011 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

Spring 2011 Physics 1 Topics - Checklist 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 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

Spring 2011 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

Spring 2011 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 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 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

Spring 2011 Physics 1 Topics - Checklist 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 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, resonance