PHYS202 Lecture 1: Math Review and Waves Intro

32 views2 pages

ceruleanrhinoceros381

6 Sep 2016

School

University of Delaware

Department

Physics and Astronomy

Course

PHYS202

Professor

David Seckel

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

Direction is denoted by an angle in 2d or 2 angles in. They can also be broken down into their x and y components separately. The x direction is denoted as an x with a carat (^) over it and is call x-hat , the y direction is denoted the same way and is call y-hat . Vector 1 x vector 2 = v1x v2x + v1y v2y = v1 v2 cos . For 3d vectors we need a way to denote the shape in a. A circle with a dot in the middle means the vector is going out of the page. A circle with an x in the middle means the vector is going into the page. Rate of change = x/ t, this gives you an average. The derivative of this would be dx/dt and gives you the instantaneous velocity at a specific point.

Related Questions

(A) Show that the position of a particle on a circle of radius Rwith center at the origin (x=0,y=0) is given in unit vectors byr=cosÎ¸i+sinÎ¸j, where Î¸ is the angle of the position vector with thex axis.

B) If the particle moves with constant speed v and period T,starting on the x axis at t=0, find an expression for Î¸ in terms ofthe time and T.

C) Differentiate the position vector twice with respect to timeto find the acceleration and show that it is the centripetalacceleration, whose magnitude is given by equation (a=(v^2)/r) andwhose direction is toward the center of the circle. (Not that theunit vectors i and j are constants, independent of time.)

DUE DATE: 12 00 noon Monday. Dec 6. 2010. The problems on this assignment are quite word because strong direction is being given to Students in how to proceed. Two problems will be selected at random for marking. Percentage polarization. It is useful to characterize partially polarized light in terms of its "percentage polarization". A light beam of constant intensity Io. is allowed to fall at normal incidence on an "ideal linear polarizer" (a linear polarizer is "ideal" if it panes all light polarized parallel to the polarizer's axis, and stops all light polarized perpendicular to that axis.) As the ideal polarizer is rotated continuously (see Figure 8.1; about an axis perpendicular to its plane, the transmitted intensity I passes through successive maximum and minimum values (denoted by I max and I min). The percentage polarization of the incident light is denned to be Find the percentage polarization measured in this way for the following light beams: "Unpolarized natural light" tor which I max = I min = Io/2. A beam of light. Initially unpolarixed. that has been passed through an ideal linear polarizer before being measured for percentage polarization. A beam of light, initially unpolarizcd, that has been passed through a non-ideal polarizer that (in terms of light intensity) transmits 70% of light polarized parallel to its polarizing axis and 20% of light polarized perpendicular to its polarizing axis. Circularly polarized light. (Circular polarization means that at any given fixed observation point In the beam, the E-vector has constant magnitude but rotates at the frequency of the electric field oscillations so that the tip of the vector describes a circle in the zy plane (perpendicular to the light ray at the point in question). Elliptically polarized light for which the tip of the E-vector moves on an ellipse in the x y plane, defined by where Ax and Ay are the amplitudes of the oscillating Ex and E y components of the electric field vector, and is the phase difference between those oscillations. NOTE: Do your calculation for the special case Ax = 2Ay and e =pi / 2. [(8.2) taxes a particularly simple form when e = pi / 2.]

PHYS202 Lecture 1: Math Review and Waves Intro

Document Summary

Get access

Related textbook solutions

Physics: Principles with Applications

Related Documents

PHYS 101 Study Guide - Midterm Guide: Inertial Frame Of Reference, Equations For A Falling Body, Contact Force

BSNS102 Study Guide - Final Guide: Linear Algebra, Hypotenuse, Australian Council Of Trade Unions

MATH 32A Lecture Notes - Lecture 5: Parametric Equation, Unit Vector, Farad

Related Questions