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PHYS 2325 Exam 1 Study Guide

by: Malvi Mehta

PHYS 2325 Exam 1 Study Guide PHYS 2325

Marketplace > University of Texas at Dallas > Physics 2 > PHYS 2325 > PHYS 2325 Exam 1 Study Guide
Malvi Mehta
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About this Document

This study guide covers material from Chapters 1-5 of Mechanics for Exam 1.
Physics Mechanics
Study Guide
Physics, mechanics
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This 4 page Study Guide was uploaded by Malvi Mehta on Thursday February 11, 2016. The Study Guide belongs to PHYS 2325 at University of Texas at Dallas taught by Dr. BING LV in Spring 2016. Since its upload, it has received 231 views. For similar materials see Physics Mechanics in Physics 2 at University of Texas at Dallas.


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Date Created: 02/11/16
PHYS 2325 – Mechanics Exam 1 Study Guide: Chapters 1­5 Chapter 1 Material:  Adding 2 vectors o Use head to tail method in order to find resultant vector o If subtracting 2 vectors, switch direction of one vector and then add  vectors like normal  Components of a vector o X component: Ax=A*cos theta o Y component: Ay=A*sin theta  Length of a vector: square root of (x component ^2 + y component ^2)  Direction of a vector: theta=arctan(y component/x component)  Unit vector: has a magnitude of 1 and no units o Add all x components together, y components together, and z components together to calculate this  Scalar Product (“Dot Product”) o The dot product of vectors A and B = A*B*cos theta o If the 2 vectors form a 90 degree angle, the dot product is 0!  Vector Product (“Cross Product”) o The cross product of vectors A and B = A*B*sin theta o Use the right hand rule! Chapter 2 Material:  Displacement: the difference between final and initial position o Displacement is a vector!  Distance: the absolute value of displacement o Distance is a scalar!  Average Velocity = displacement/time o Remember: velocity is a vector; speed is a scalar o Instantaneous velocity: the velocity at a specific point in time (slope at a  specific point on a x­t graph)  Velocity (m/s) is the SLOPE of a position vs. time graph  Acceleration (m/s^2) is the SLOPE of a velocity vs. time graph o Instantaneous acceleration: the acceleration at a specific point in time  (slope at a specific point on a v­t graph) o Constant acceleration means velocity changes at the same rate  throughout the motion o ***Know how to use the 4 equations of constant acceleration (kinematic  equations)! Chapter 3 Material:  If acceleration is parallel to velocity, the magnitude of velocity changes but  direction does not  If acceleration is perpendicular to velocity, the direction of velocity changes but  magnitude does not  Know the components of projectile motion – remember that acceleration in the y  direction is the SAME throughout: 9.8 m/s^2 which is acceleration due to gravity! o The trajectory of projectile motion is a parabola! It is symmetrical on both  sides. o “Height” refers to vertical distance, while “range” refers to horizontal  distance. o Max height (y direction) = Velocity^2/2g o Max range (x direction) = Velocity^2/g  Circular Motion: motion along the perimeter of a circle  Uniform circular motion o Speed is constant o Acceleration is perpendicular to velocity o Instantaneous acceleration points toward the center of the circle  (centripetal acceration) o A = V^2/R where R is the radius in meters o The  period, T, is the time in seconds for one complete revolution  V = 2piR/T  A = 4(pi^2)R/T^2  Nonuniform circular motion o Speed varies o Acceleration is parallel to instantaneous velocity  Relative Motion: a moving coordinate system o Relative velocity: the velocity of a moving body seen by a specific  observer o Frame of reference: a coordinate system plus a time scale Chapter 4 Material:  Force: a push or a pull o Vector quantity (both magnitude and direction)  Types of Forces o Contact: tension, compression, normal force, friction force o Spring: stretches and compressions o Long Range: gravitational, electromagnetic  Normal force: when an object pushes on a surface and the surface pushes back;  perpendicular  Friction force: a surface resists sliding off an object; parallel  Tension force: a pulling force exerted on an object by a rope or cord  Weight: the pull of gravity on an object (F=ma)  Newton’s 1  Law o A body acted on by zero net force moves with constant velocity (that may  be 0) and zero acceleration o Inertia: the tendency of a body to stay in motion o Constant velocity means NO acceleration – which means NO net force! nd  Newton’s 2  Law o F=ma o Remember that weight is a force! Calculate weight by multiplying mass  (kg) by acceleration due to gravity (m/s^2)  Newton’s 3  Law o “action­reaction” pair o A force and its reaction have the same magnitude, but opposite directions o Free body diagram: a sketch that shows all the forces acting on an object  Only forces acting ON the object matter! Chapter 5 Material:  Practice lots of application problems dealing with Newton’s Laws!  Steps to solve a problem: o Identify which law (1,2, or 3) o Draw a quick sketch o Draw free body diagrams for each object involved o Find x and y components of each force and set the sum of forces for each  coordinate equal to zero o Evaluate! Does it make sense?  Ropes and Pulleys o Assume that ropes and pulleys are massless o The force is transmitted throughout the entire rope (TENSION!)  Friction Force o Kinetic friction: when a body slides over a surface  Represented by u­sub k o Static friction: when there is no relative motion  Represented by u­sub s o Equation for kinetic and static friction: F = uN where F is the friction force, u is the coefficient of static or kinetic  friction, and N is the normal force


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