1. 1 Honors Physics 1 Summary and Review - Fall 2013 Quantitative and experimental tools Mathematical tools Newton’s Laws and Applications –Linear motion and Vector motion –Rotational motion –Systems of particles and Rigid body motion Work, Kinetic energy, and Potential energy Non-inertial systems and fictitious forces Central force motion –Gravitation and orbits Simple harmonic motion Damped harmonic motion The driven oscillator Coupled harmonic oscillators Travelling waves, Standing waves, Resonance Sound waves – Beats and Doppler Special Relativity – coordinate transformations

2. 2 Quantitative and Experimental Tools Estimation Significant digits Dimensional analysis Averages and fits Experimental uncertainty analysis and propagation

3. 3 Mathematical Tools Vectors – components and multiplication Functions Derivatives Antiderivatives and Integration The differential and changing variables The partial derivative The gradient The line integral Complex numbers and imaginary exponents Taylor expansion Differential equations –The second order linear differential equation –General solutions –Boundary and initial conditions –Driven harmonic oscillator

4. 4 Themes Newton’s Laws –F=dp/dt –Reaction forces Constraints Coordinate transformations Conservation laws –Energy –Linear Momentum –Angular momentum

5. 5 Dimensional analysis You can frequently get to the essence of a problem or figure out how physical parameters are related just by matching up the units or dimensions. Basic dimensions - MKSA Mass (M) - kg Length (L) - m Time (T) - s Current (I) - A Temperature - K Useful parameters: Velocity (LT -1 ) Energy (ML 2 T -2 ) – J Momentum (MLT -1 ) Power (Energy/T) - W Frequency (T -1 ) - Hz

6. 6 Newton’s Laws Simple systems –No friction –Point particle –Momentum and impulse –Conservation of energy Interactions between masses –Contact forces –Friction –Gravity –Electromagnetism

7. 7 Circular motion – Angular velocity and angular acceleration as vectors – Angular momentum – Conservation of angular momentum

8. 8 Central force motion Gravitation and orbits – Newton’s law of gravity; Gravity near the surface of the Earth – The shell theorems – Gravitational potential energy – Circular orbits – Elliptical orbits and Kepler’s Laws

9. 9 Systems of particles and solid objects – Momentum and impulse – Center of mass; Conservation of momentum – Calculating the center of mass for solid objects – Rotational kinematics – Torque, rotational inertia, and = I – Calculating the rotational inertia of solid objects – The parallel axis theorem

10. 10 Oscillations Simple harmonic motion; –Amplitude and phase The second order differential equation Special cases: –Mass on spring –Harmonic potential –Pendulum Damped oscillations Driven oscillator –Damped harmonic oscillator –Resonance

11. 11 Waves Travelling waves Harmonic waves Wave equation Transverse waves –String –Power Superposition Phasors Standing waves

12. 12 Special relativity –Postulates »the proper frame for time between two events –Lorentz factor »time dilation –Lorentz transformations of coordinates –relativistic momentum and energy will not be covered on the final

13. 13 Example: Aplication of Newton’s Laws for a Rolling Object

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16. 16 Example: Free masses attached by a spring

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