Today's Lecture
Motion in More Than One-D Circular Motion 2 Newton's Laws of Motion
Circular Motion - Spin Up The CD
A 12.7cm diameter CD is spinning up with the rim undergoing a uniform tangential acceleration of a t 91. 4cm/s 2. Find the magnitud
Chapter 2
Problems: 14, 18, 22, 23, 30, 36, 51, 52, 59, 61, 78
14. (a) The average speed is v = 4800km=11h = 436:4km=h: (b) The plane travels at an average speed of vair = 960km=hr; the total distance covered is s = 6700km: The total time in the air
J Charles Hicks
DEPARTMENT OF PHYSICS
Physics 2A Mechanics
Fall 07
WEB: INSTRUCTOR:
http:/physics.ucsd.edu/students/courses/fall2007/manages/physics2aa/ Charles Hicks Office: TBA Email: [email protected] Office Hours: TBA Patti Hey 1138 U
Chapter 9
Gravitation II
Kepler's Laws of Planetary Motion
Kepler's three laws make no effort to explain the planetary motion. Instead, they are mathematical descriptions of the planet's motion. 1. The planets orbit the Sun in ellipses with the Sun
Chapter 15
Oscillatory Motion III
Chapter 9
Gravitation
S H O - Velocity and Acceleration
It is useful to consider the velocity and acceleration as it relates to the displacement. For this we will xt Acost use the solution that includes the ph
Today's Lecture
Motion in a Line, Vectors and Vector Properties Vector Description of Motion
Example: Velocity Needed to Throw a Stone a Height h and the Time to Reach h.
Last time we found that the minimum initial velocity required to reach a heigh
Today's Lecture
Vector Description of Motion Motion in More Than One-D
Example: Velocity/Acceleration in 2D
An object undergoes acceleration of a 2. 3 i 3. 6 j m/s 2 over a period of 10s. After these 10s its velocity is v f 33 i 15 j m/s. a) W
Today's Lecture
Motion in More Than One-D Circular Motion 1
y tan x -
g x2 2V 2 cos 2 0
Example: Daredevil Motorcyclist
(a) What is the minimum speed for the cyclist to make the jump? This problem can be easily solved by making use of the parabo
Circular Motion and Acceleration
Consider the two unit vectors that are convenient for angular motion:
cos sin r i j - sin i cos j
The position vector can now be written
r cos sin r rr i j
xi yj
The velocity vector is simply t
Physics 2A Mechanics
J Charles Hicks [email protected] Fall 2007
Introduction, Motion in a Line, Vector Description of Motion Motion in More than 1-D
Lectures 1, 2, 3, 4
Quizzes
Before or at the first quiz you will be assigned a code number.
Solutions to Final Exam,
Math 20C,
Dec 9, 2008
(1) The formula for the volume of a cone is not needed for this problem. Piece A has the same shape as the big cone, but all three of its dimensions are reduced by a factor of 4/5, as we can see using
Physics 2A Lecture 10: Jan 30
Vivek Sharma UCSD Physics
More on Force
F = ma is NOT the DEFINITION of Force! Equation shows the reaction of the object to a force
SI Unit of force is the NEWTON 1 Newton is the amount of net force that gives an accele
Chapter 14
Static Equilibrium III
Chapter 15
Oscillatory Motion II
Example: Slipping Sphere
A uniform sphere is supported by a rope. The point where the rope is attached to the sphere is located so a continuation of the rope would intersect a horiz
Chapter 14
Static Equilibrium II
Chapter 15
Oscillatory Motion
Conditions for Equilibrium
A body is in static equilibrium when it is stationary and when both "the net external force and the net external torque are zero!"
Fi 0
i
and
i 0
i
If
Chapter 13
Rotational Motion
Chapter 14
Static Equilibrium
3D Angular Momentum: Precession
What is the rate of precession for the gyro? First we determine the torques and the angular momentum, then apply t = dL/dt. Consider the figure below: Assume
Forces and Motion
Newton's Laws Review and Examples
Lecture 7
p mv
dm v dp F ma definition of F dt dt
F net
Fi 0
p const.
Example: Airport Runway
A fully loaded 747 jumbo jet has a mass of 3.6x105kg. Its four engines can exert a total
Forces and Motion
Newton's Laws Review Newton's Third Law Hook's Law Springs
Lecture 8
Example: Predicting Motion Using Newton's 2nd
A force F 2. 4 i 1. 7 j acts on a 1.2 kg object which is initially at rest at the origin. (a) What is the object'
Today's Lecture
Review of Newton's 3rd Law & Hook's Law Application of Newton's Laws: Friction
Lecture 9
Example: Using Newton's Third Law
A 12N force is applied to left most of a 1kg, 2kg, and a 3kg block as shown. (a) What force does the middle bl
Today's Lecture
Lecture 10:Chapter 6, Using Newton's Laws Lots of Examples
First Example: Skier
A skier with mass m = 65kg slides down A slope with an incline angle of q = 32o. Find (a) skier's acceleration and (b) the magnitude of the force that th
Today's Lecture
Lecture 11: Chapter 6, Using Newton's Laws Rotational Examples Drag
First Example: Two Football Players and the Female Gymnast
There is a standard demonstration in a mechanics class where two large football players pull on a rope put
Today's Lecture
Lecture 12: Chapter 7 Work, Energy, Power
What is Work?
For an object moving in one dimension, the work W done on the object by a constant force is:
W F x x,
Where Fx is the component of the force in the direction of the object's m
Today's Lecture
Lecture 13: Chapter 7 Work, Energy, Power Energy Diagrams Chapter 8 Conservation of Energy
Power and Velocity
When deriving the work-kinetic energy theorem we showed that
dW F d r F v dt dt
The rate of work output is the instant
Today's Lecture
Lecture 14: Chapter 8, Energy Diagrams Conservation of Energy Chapter 10, System of Particles
Example: Force and Potential Energy
(a) Derive an expression for the potential energy of an object subject to a force, F = axbx3, where a =
Today's Lecture
Lecture 15: Chapter 8, Review of Energy Diagrams Review of Work-Energy Thm Chapter 10, System of Particles
Energy Diagram - Typical Diatomic Molecule
If E > 0, then the atoms cannot approach closer than r = a. The atoms can approach
Today's Lecture
Lecture 16: Course Review; Kinematics, Newton's Laws of Motion, Conservation of Energy Chapter 11, Rockets
Review Kinematics
Circular Motion and Acceleration
Consider the two unit vectors that are convenient for angular motion:
c