a definitive sheet by chad valencia, ucla mathematics major version 2.0.2000, rev 1
A B BC
calculus
y Sample Function f(x)
trig in a nutshell
B c a x C b A
personal notes
AB
k
x->c
sin x =a/c= opposite/hypotenuse cos x = b/c = adjacent/hypotenus
Physics 40A - Midterm Exam Solutions - Fall 2008 - Exam A
Problem 1 [25 points] You throw a ball with a speed of 25 m/s at an angle of 40 above the horizontal directly toward a wall (see Figure). The wall is 22 m from the release point of the ball. (
Physics 40A - Midterm Exam Solutions - Fall 2005 - Exam A
Problem 1 [25 points] A stone is projected at a cliff of height h with an initial speed of 42 m/s at an angle of 60 above the horizontal, as shown below. The stone strikes at point A, 5.5 s af
Physics 40A - Final Exam Solutions - Fall 2005
Problem 1 [25 points] A box of mass m1 = 10 kg rests on a surface inclined at 30 to the horizontal. It is connected by a massless cord, which passes over a massless and frictionless pulley, to a second b
Physics 40A - Final Exam Solutions - Fall 2006
Problem 1 [25 points] A box of mass 1.0 kg on a 30 frictionless incline is connected to a box of mass 3.0 kg on a horizontal frictionless surface as shown in the diagram below. The pulley is frictionless
Notes on Chapter 3
Velocity and Acceleration in Three Dimensions
The position of a particle can be described by a position vector, which is a vector extending from the origin to the particle. We can write it in component form as
r = x^ i y^ j ^ z k
Notes on Chapter 1 (pp.1-13)
Base Units and Derived Units
Standards are associated with base units, and measurement of a physical quantity takes place by comparison with a standard. We will mostly use SI units (the name comes form the French: Systme
Notes on Chapter 2
Velocity and Speed
The position of an object is denoted by its coordinate x(t) along an axis, on which we have defined an origin (the point defined as x = 0). As the body moves, its coordinate changes and hence x is a function of t
Notes on Chapter 2
Velocity and Speed
The position of an object is denoted by its coordinate x(t) along an axis, on which we have defined an origin (the point defined as x = 0). As the body moves, its coordinate changes and hence x is a function of t
Notes on Chapter 1 (pp. 11-26)
Vectors
To describe motion in three dimensions we will use vectors. A vector has magnitude and direction. An example of a vector quantity is displacement. The displacement of a particle which moves from point A to point
Notes on Chapter 4
Overview
Objects may interact with each other and their velocities change as a result. The strength of an interaction depends on properties of the objects and their relative positions. Gravitational mass is responsible for gravitat
CHAPTER 4 Dynamics: Newton's Laws of Motion
http:/www.physicsclassroom.com/Class/newtlaws/newtltoc.html Force Newton's First Law of Motion Mass Newton's Second Law of Motion Newton's Third Law of Motion Weight the Force of Gravity; and the
CHAPTER 5 Work and Energy http:/www.physicsclassroom.com/Class/energy/energtoc.html
Units Work Done by a Constant Force Work Done by a Varying Force Kinetic Energy, and the Work-Energy Principle Potential Energy Conservative and Nonconserva
Notes on Chapter 5
Friction
Consider applying a small horizontal force to a massive block placed on a tabletop (refer to the figure at right). Unless the force is greater than a certain critical force the box will not move. This is because a friction
Physics 40A - Midterm Exam Solutions - Fall 2006 - Exam A
Problem 1 [25 points] A stone is thrown from the top of a building upward at an angle of 30 to the horizontal and with an initial speed of 20 m/s. (a) What are the horizontal and vertical comp
Statics Ch. 11:1-5
Announcements Discussion sections start Wednesday No labs this week Syllabus and homework assignments on iLearn Use Mastering Physics website for submission Two Midterm Examd Individual lectures posted on iLearn before class