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# Concepts in Physics PHY 101

MSU

GPA 3.67

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This 16 page Class Notes was uploaded by Quinn Larkin on Saturday September 19, 2015. The Class Notes belongs to PHY 101 at Michigan State University taught by Daniel Stump in Fall. Since its upload, it has received 14 views. For similar materials see /class/207615/phy-101-michigan-state-university in Physics 2 at Michigan State University.

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Date Created: 09/19/15

PHY 101 Concepts in Physics 1 Homework is assigned on the LON CAPA web site msuloncapaorg Log on using your MSU NET ID Click on the course PHY 101 If you need help go to Room 1248 and ask a teaching assistant TA to show you how to use LON CAPA Form study groups with other students in class and work together 2 Next week s class Thursday September 5 When 800 to 1000 AM Where Room 106 Farrell Hall microcomputer classroom 3 Lecture notes are posted at wwwpamsueducoursesphy101 101 lecture l PHY 101 Lecture 1 Math Techniques 1 Algebra 2 Trigonometry 3 Analytic geometry 4 Computer simulation 5 Calculus Algebra Use symbols to stand for numbers Example A II I O Two cars travel on a long straight road shown in the figure A Ford starts at point B and travels 45 mph A Chevrolet starts at A 15 minutes later and travels 50 mph Where is the point C where the Chevy will pass the Ford 101 lecture 1 IV 2 Trigonometry We start with right triangles 14 sin H AIC cos 9 BC an F1 AB SOHCAH gtTDAquot But there s more to it than that Trigonometry Example A mass is suspended from a string attached to the ceiling as shown The lengths in the figure are Ag 1m the distance between the two ends of the string AZ 04 m the lengths of the two segments of the string between the ends and the suspension pointt Calculate the angle 6 A1 07m and 101 lecture 1 3 Analytic geometry Use algebra and calculus to analyze geometry problems Key technique coordinates Rene DesCa rtes Th e ellipse rebrim r k xyy l v Al l l AZ v x l l g 1 a ae ae y x 7 b Ellipse geometry for an ellispe ceneterd at the origin Equation xa2 yID2 1 a semimajor axis b semiminor axis 1 we The eccentricity is e Theorem A1 112 2a 101 lecture 11 4 Computer simulation Learn to use the computer program quotMathematicaquot which is available in the microcomputer labs in Farrell Hall You can t afford to buy it for your own computer but MSU has a site license For simple computer problems you could use and EXCEL spreadsheet program or Wolfram Alpha But the easiest way is to use Mathematica Calculate the area and circumference of an ellipse Preliminary A circle is a special case of an ellipse the eccentricity is O Semimajor axis Semiminor axis a b radius r Everyone knows the formulas for the area and circumference Area 7 r2 Circumference 2 TC r As a numerical example suppose the radius is 1 m Then the area is 314 m2 and the circumference is 628 m 101 lecture 1 LJ39I Area of an ellipse l xa2yb21 Yx 55x 5A 5x 2y Calculate the area of an ellipse Chop up the ellipse into many small strips with width x The area of a single strip is 5x 2y Add up all the strips That39s the area of the ellipse Computer calculation NS 100 or 1000 or 10000 5x aNS Strip n x x5x anNS an1NS W b5qrt 1Xa2 101 lecture l rt 8r quotquotw rt 5t PHY 101 Concepts in Physics 1 Homework is assigned on the LON CAPA web site msuloncapaorg Log on using your MSU NET ID Click on the course PHY 101 If you need help go to Room 1248 and ask a teaching assistant TA to show you how to use LON CAPA Form study groups with other students in class and work together 2 Next week s class Thursday September 5 When 800 to 1000 AM Where Room 106 Farrell Hall microcomputer classroom 3 Lecture notes are posted at wwwpamsueducoursesphy101 101 lecture l PHY 101 Lecture 1 Math Techniques 1 Algebra 2 Trigonometry 3 Analytic geometry 4 Computer simulation 5 Calculus Algebra Use symbols to stand for numbers Example A II I O Two cars travel on a long straight road shown in the figure A Ford starts at point B and travels 45 mph A Chevrolet starts at A 15 minutes later and travels 50 mph Where is the point C where the Chevy will pass the Ford 101 lecture 1 IV 2 Trigonometry We start with right triangles 14 sin H AIC cos 9 BC an F1 AB SOHCAH gtTDAquot But there s more to it than that Trigonometry Example A mass is suspended from a string attached to the ceiling as shown The lengths in the figure are Ag 1m the distance between the two ends of the string AZ 04 m the lengths of the two segments of the string between the ends and the suspension pointt Calculate the angle 6 A1 07m and 101 lecture 1 3 Analytic geometry Use algebra and calculus to analyze geometry problems Key technique coordinates Rene DesCa rtes Th e ellipse rebrim r k xyy l v Al l l AZ v x l l g 1 a ae ae y x 7 b Ellipse geometry for an ellispe ceneterd at the origin Equation xa2 yID2 1 a semimajor axis b semiminor axis 1 we The eccentricity is e Theorem A1 112 2a 101 lecture 11 4 Computer simulation Learn to use the computer program quotMathematicaquot which is available in the microcomputer labs in Farrell Hall You can t afford to buy it for your own computer but MSU has a site license For simple computer problems you could use and EXCEL spreadsheet program or Wolfram Alpha But the easiest way is to use Mathematica Calculate the area and circumference of an ellipse Preliminary A circle is a special case of an ellipse the eccentricity is O Semimajor axis Semiminor axis a b radius r Everyone knows the formulas for the area and circumference Area 7 r2 Circumference 2 TC r As a numerical example suppose the radius is 1 m Then the area is 314 m2 and the circumference is 628 m 101 lecture 1 LJ39I Area of an ellipse l xa2yb21 Yx 55x 5A 5x 2y Calculate the area of an ellipse Chop up the ellipse into many small strips with width x The area of a single strip is 5x 2y Add up all the strips That39s the area of the ellipse Computer calculation NS 100 or 1000 or 10000 5x aNS Strip n x x5x anNS an1NS W b5qrt 1Xa2 101 lecture l

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