Phys 1111K Spring 2005 Course Overview Dr. Perera Room: 507 Science Annex Phone: 651-2709, 3221/3222 1 Introduction • What is Physics ? Understanding nature • Laws of Physics Wide spread impact on modern technology • Every minute of your life is involved in Physics Needs and Uses Even without knowing it • A Fundamental Science Welcome to Introduction to Physics 2 Main Sections Kinematics • Classical Mechanics (Chs 1-10) both Transnational and Rotational Dynamics • Fluid Mechanics (Ch 11) • Thermodynamics (Chs 12-13) Heat Temperature 3 Ch 1 Pre Requisites Co-ordinate System (Cartesian) • Trigonometry Pythagorean Theorem Sin θ Cos θ Pythagorean Theorem Tan θ • Algebra Quadratic Equations Powers of 10 • Symbols Δx, μ, n, p 4 Standards and Units Why do we need standard units ? King Louis • Yard • Royal foot CGS British SI centimeter (cm) foot (ft) meter (m) Mass gram (g) slug (sl) kilogram (kg) Time second (s) second (s) second (s) Length 5 SI Units Le System International Units • meter : Light travels in a vacuum in time of 1/ 299792458 seconds • kilogram : Standard cylinder of Pl-Iridium alloy at room temperature • second : Cs-133 atomic clock – time for 9192631770 wave cycles to occur 6 Conversion of Units 1 meter = 100 centimeter = 1000 millimeter (mm) 103 meter = 1000 meters = 1 kilometer 0.001 meter = 10-3 meter = 1 millimeter 3.281 feet = 1 meter 5280 feet = 1 mile 3600 seconds = 1 hour 0.65 miles / hour = 95 feet / second = 29 meters / second 7 Significant Figures Keep the same number of significant figures in the answer as in the least accurate number 3.5 × 10.6 = 37 (not 37.1) 0 ± 0.1 0 ± 0.1 35 39 Uncertainty : Quality of the apparatus Skill of the experimenter Number of measurements 8 Dimensional Analysis • Distance - [L] • Mass - [M] • Time - [T] Check whether an equation is mathematically correct Find an unknown exponent 9 Vectors and Scalars • Addition and subtraction • Multiplying by a number • Components • Vector addition by Components • Vector addition by Graphing 10 Vector Addition (Due East) Resultant Displacement R = A+ B Due East and then Due north R = A +B 5 = 4 +3 ? Find Theta 11 What if Vectors are not Perpendicular ? Can we say R = A +B ? But Pythagorean Theorem valid ? Graphical Technique A = 275 m, B =125 m Scale 1 cm = 10 m R = 228 m 12 Vector Components r=X+Y r A, X Ax Y AY 13 Different Axes Vector Components depend on the orientation of the axes Scalar components (With positive or negative sign) 14 Adding Vectors Using Components C = A +B, A = Ax +Ay B = Bx + By C = Cx + CY CX = CY = 15 Example 8 y AX BX 35 B By A Ay 20 R x A+B=R A=Ax+Ay B=Bx+By Note By is in negative direction. 16 Example 8 (continued) x component y component A Asin20=145sin20=49.6 Acos20=145cos20=136.3 B Bcos35=105cos35=86.0 -Bsin35=-105sin35=-60.2 R Ax+Bx=135.6 AY+BY=76.1 17 Example 8 (continued) Ry 76.1m tan ( ) tan ( ) Rx 135.6m 1 29 1 0 18