Gen Physics I
Gen Physics I PHYS 2010
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This 7 page Class Notes was uploaded by Iva Cormier on Sunday October 11, 2015. The Class Notes belongs to PHYS 2010 at East Tennessee State University taught by Donald Luttermoser in Fall. Since its upload, it has received 6 views. For similar materials see /class/221408/phys-2010-east-tennessee-state-university in Physics 2 at East Tennessee State University.
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Date Created: 10/11/15
PHYS2010 General Physics I Course Lecture Notes Section II Dr Donald G Luttermoser East Tennessee State University Edition 24 Abstract These Class notes are designed for use of the instructor and students of the course PHYS 2010 General Physics I taught by Dr Donald Lutternioser at East Tennessee State University These notes make reference to the College Physics 8th Edition 2009 textbook by Serway and Vuille II Mathematical Techniques A Dimensional Analysis 1 Always make sure that all terms in an equation have the same dimensions i e units Then try to reduce a parameter in an equation to a combination of the three basic concepts length L mass M and time Tl For example the acceleration of a body in a gravitational eld is proportional to the mass of the primary body and inversely proportional to the square of the distance M a G 7 72 where G is a constant From this formula nd the dimensions of G 1 LT M M V L where L represents length M represents mass and T represents time Then 2 M M2 LTTQ L2 3 1 2 G 7 G L M T M gt l M M or the dimensions of G are mgkgsg When a symbol or variable has square brackets around it this means what are the dimensions ie units of this symbol or variable lll ll 2 PHYS 2010 General Physics B Algebra Review 06 1 Cross multiplication mac ny ltgt 7 y m 2 Factoring y mac mb gt y m06 b 3 Powers amp Roots a axaxaxaxaxaxaa7 OIquot axaxm timesgtltaam a is raised to the mth power b alm amthw root Of a c a0 E 1 note that the E symbol means de ned to be d a m e abm ambm lt9 L amb m b bm am 7 f aman amn7 7 am n an g army amn Va m amn 4 Exponentials and Logarithms I 4 77 y a base a to power an x logay the exponent of a that yields y a Product logaxy loga x loga y b Quotient loga loga x logay y c Power loga yn nlogay Donald G Luttermoser E TSU 1 Two common bases i Base 10 gt common logarithms loga logm E log xlogy gt y101 ii Base 6 271828 gt natural logarithms loga loge E In xlny gt 1169 Basic Trigonometry 1 Right angle triangle relationships sin6 0 9 b a sin6 07 t 07 COS c an b cos6 a2b202 sin26cos261 01quot 6 23 90quot g radians ll 4 PHYS 2010 General Physics 2 Generic triangle relationships a Law of sines sin A sin B sin C a b c b Law of oosines a2 b2 02 2bccosA b2 a2 02 2accosB 02 a2b2 2abcosC 3 Additional useful trigonometric identities a Angle sum and angle difference relations sina cos Cosa sin sina oos oosa sin oosa oos sinoz sin tana tan 1 tana tan tana tan 1 tana tan l oosa cos oz oos sina sin l l Donald G Luttermoser ETSU ll 5 b Double angle relations 2tana s1n20 2s1nozcosoz 2 1tan oz cos2a cosgoz singoz2cos2a ll 2sin201 i 1 tan20z i 1tan20z t 2 2tana an oz 1 tan20z D Scalars and Vectors 1 A scalar has magnitude but Q directional information 69 c is a scalar a 4 kg and 600 K are scalars b 420 krns is a scalar 2396 speed 2 A vector has both magnitude and directional information 69 5is a vector a 420 krns to the NW is a vector 2396 velocity b 420 krns NW is Lot equal to 420 krns SE c Note that in these course notes I will always represent a vector with an arrow over the variable letter 69 fl whereas your textbook indicates a vector with a boldface letter 69 A 1 Vector arthirnetic will be described in lV of the notes
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