Chapter 8: Oscillations
Simple Harmonic Motion: The Spring-Block Oscillator:
Hookes Law:
o
o
o
o
F s=kx
stiffer spring, greater value of k
Fs always points in opposite direction
restoring force: tries to pull back to equilibrium position (net force = 0)
i
Chapter 6: Rotational Motion
rotational kinematics:
rigid body: all points along a radial line always have the same angular displacement
e.g. disk
average angular velocity: =
t
d
instantaneous angular velocity: = dt
average angular acceleration: = t
Chapter 4: Work, Energy, & Power
force: agent of change
energy: ability to do work
work: one way of transferring energy from one system to another
Law of Conservation of Energy (First Law of Thermodynamics): total amount of energy in a
given process will
Chapter 1: Vectors
vector: has magnitude & direction
B+
A
obeys commutative law of addition: A + B=
scalar: no direction
e.g. 55 mph to the north v. 55 mph
denotation: A, A, A
e.g. displacement
equal vectors: same magnitude & direction
vector + :
Chapter 3: Newtons Laws
dynamics: study of why things move as they do
force: interaction b/n 2 objects, push/pull
unit: 1 N =1 kg m/ s 2
normal force ( F N : to surface
First Law (Law of Inertia):
an object will continue in its state of motion unless c
Chapter 7: Laws of Gravitation
Keplers Laws
Keplers First Law: Every planet moves in an elliptical orbit, with the Sun at one focus.
Keplers Second Law: As a planet moves in its orbit, a line drawn from the sun to the planet
sweeps out equal areas in equa
Chapter 5: Linear Momentum
linear momentum:
dp
F= dt
impulse: J = F t
p=m v
J = F dt = p
law of conservation of linear momentum: in an isolated system, the total linear momentum
will remain constant
collisions:
elastic: kinetic energy is conserved
'
'
v
Chapter 2: Kinematics
kinematics: study of objects motion
displacement, velocity, acceleration
position: relation to coordinate axis system
distance: scalar, total amount traveled
displacement: change in position, s
total distance
time
total displacement
Notes 11.5
Damped Harmonic Motion
In reality, amplitude of any oscillator will slowly decrease over time
Occurs because some energy is dissipated as thermal energy
Called damped harmonic motion
If damping is too large motion will no longer resemble simple
Notes 5.8
A satellites high speed is what keeps it up
Satellite is falling (accelerating towards Earth) because gravity pulls it in, but the
tangential speed keeps it from ever hitting the earth
F = MA
G*(Msat*Mearth/r^2) = Msat*(v^2/r)
[Satellite equatio
Notes 8.5: Rotational Dynamics; torque and rotational inertia
Angular acceleration of a rotating object is proportional to the net torque applied to it
In linear case, acceleration is proportional to both net force and inversely proportional to inertia
(m
Paige Caine
Notes on Chapters 8.1 - 8.4
Motion of rigid objects can be analyzed as the translational motion of the object's center of
mass, plus rotational motion about its center of mass
Purely rotational motion - all points in the object move in circles
Notes 6.1 - 6.4
Work - the product of the magnitude of the displacement times the component of the
force parallel to the displacement
W = Fd
Or
W = Fdcos
(where F is the force parallel to the displacement)
Work is a scalar quantity
Work is measured in jou
Simple Harmonic motion
Periodic motion- when an object vibrates or oscillates back and forth
Equilibrium position- position of mass at center of its oscillation
Is stretched or compressed from here
Restoring force brings object back to equilibrium positio
Electromagnetic Induction
Faraday: convert magnetism into electricity
What we know
Current in a wire generates magnetic field
Field of a solenoid is similar to that of a bar
magnet
Strength of magnetic field depends on
permeability ( magnetic propertie
45
Chapter 26
(# 1, 8, 9, 17, 28, 35, 40, 43, 53, 64)
1. During the 4.0 min a 5.0 A current is set up in a wire, how many (a) coulombs and
(b) electrons pass through any cross section across the wires width?
1. (a) The charge that passes through any cross
Near-Infrared imaging spectroscopy of the surface of Mars at meter-scales to
constrain the geological origin of hydrous alteration products, identify candidate
sites and samples for future in-situ and sample return missions, and guide rover
operations.
Au