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Exam 1, version 0001 - Physics 1110, Fall 2013
NAME_
Signature_
Student ID #_
TAs Name(Circle one): Anqi Cheng, Travis Frazer, Kevin Gilmore, Andrew Hess, William Jay,
Laura Maguire, K.T.Manantappa, Troy Muholland, Liang Xu
Circle the DAY of your recita
1
Exam 1, version 0001 - Physics 1110, Fall 2013
NAME_Solutions_
Signature_
Student ID #_
TAs Name(Circle one): Anqi Cheng, Travis Frazer, Kevin Gilmore, Andrew Hess, William Jay,
Laura Maguire, K.T.Manantappa, Troy Muholland, Liang Xu
Circle the DAY of y
General Physics 1 (PHYS1110)
Chuck Rogers
Duane F-631, E2B44
http:/www.colorado.edu/phys/phys1110
Lecture 13
Impulse and collisions
Reading:WolfsonCh.10and11.Also,MikeDubsonsnoteson
the Website.
Due Today: Tutorial on Conservation of Momentum in 2D
Due Fr
Physics 1110: CAPA 9
SimpleCAPA.com
1
A 34.3-kg block (m1) is on a horizontal surface, connected to a 6.3-kg
block (m2) by a massless string as shown in the Figure. The pulley is
massless and frictionless. A force of 194.5 N acts on m1 at an angle of
32.3
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Exam 3, Vers.0001 - Physics 1110 - Fall, 2013
NAME_
Signature_
Student ID #_
Circle TAs Name: Anqi Cheng, Travis Frazer, Kevin Gilmore, Andrew Hess, William Jay,
Laura Maguire, K.T.Manantappa, Troy Muholland, Liang Xu
Circle the DAY of your recitation:
PHYS1110H, 2011 Fall.
Shijie Zhong
Rotation, Angular Momentum, Torque, and Conservation of Angular
Momentum.
Rotational Motion about a Fixedaxis (kinematics)
Angular velocity ! :
Consider a rotating disk with a fixed axis. An effective way to describe the
PHYS1110H, 2011 Fall.
Shijie Zhong
Potential Energy and Conservation of Energy
Potential Energy
!
GMm
For a conservative force, such as gravitational force F = "
er , the work
r2
done by the force from to move a particle from position 1 at radius r1 to
po
PHYS1110H, 2011 Fall.
Shijie Zhong
Static Equilibrium
An object is in static equilibrium, if the object is not translating and not
rotating. Both the net force and net torque about any axis on the object
must be zero.
!
!
Fnet = " Fi = 0 ,
!
!
!
" net = $
PHYS1110H, 2011 Fall.
Shijie Zhong
Harmonic Oscillator
1-D Harmonic oscillation
!
!
!
!
For the spring-block system, when the block only has the spring force acting
on it (i.e., the external force is removed, and no friction), the Newtons
second law for t
PHYS1110H, 2011 Fall.
Shijie Zhong
3. Work and Energy
Different types of energy:
a) Kinetic energy KE: energy of motion
b) Potential energy PE: stored energy, for example, gravitational PE,
electrostatic PE, elastic PE.
c) radiant energy: energy of light.
PHYS1110H, 2011 Fall.
Shijie Zhong
Gravity
The Newtons law of gravitation.
For two objects with masses M and m at a distance of r, the gravitational
attraction force is in terms of magnitude
GMm
,
(1)
F=
r2
where G is the universal gravitational constant
PHYS1110H, 2011 Fall.
Shijie Zhong
Kinematics and Vectors
1. Vectors
A vector is defined by two properties: magnitude
and direction.
!
For vector !A , its magnitude is the length of the
vector or | A |, and its direction is what the arrow
points to.
!
!
!
PHYS1110H, 2011 Fall.
Shijie Zhong
1. Newtons Laws
Newtons 1st law: A body in uniform motion remains in uniform motion,
and a body at rest remains at rest, unless acted on by a nonzero net force.
A body with zero net force is also called an isolated body.
PHYS1110H, 2011 Fall.
Shijie Zhong
2. Applications of Newtons Laws - continued.
.
Contact force: Tension of a string, and friction
Example 5. Block and String
A block of a mass M on a friction-free surface is attached to a string with
mass m. A force F is
General Physics 1 (PHYS1110)
Chuck Rogers
Duane F-631, E2B44
http:/www.colorado.edu/phys/phys1110
Lecture 14
Rigid body rotation: Kinematics, torque, and KE of rotation.
Reading:WolfsonCh.11and12.Also,MikeDubsonsnoteson
the Website.
Due Today: Tutorial on
Phys 1110, 8-1
Conservation of energy.
Kinetic friction is a somewhat unusual force. Its always fighting you. It does
negative work, no matter which way you go. If you do work on an object that feels
friction, that work is (practically) lost. You cant eas
Vectors-1
Vectors
A vector is a mathematical object consisting of a magnitude (size) and a direction.
A vector can be represented graphically by an arrow:
direction of arrow =
direction of vector
length of arrow = magnitude of vector
A vector quantity is
wave-1
Wave Motion
A wave is a self-propagating disturbance in a medium. Waves carry energy, momentum, information, but not matter. Examples: Sound waves (pressure waves) in air (or in any gas or solid or liquid) Waves on a stretched string Waves on the s
R-1
Rotational Motion
We are going to consider the motion of a rigid body about a fixed axis of rotation.
(rads)
The angle of rotation is measured in radians:
r
s
s
(dimensionless)
r
Notice that for a given angle , the ratio s/r is
independent of the siz
SHM-1
Simple Harmonic Motion
A pendulum, a mass on a spring, and many other kinds of oscillators exhibit a special kind of oscillatory motion called Simple Harmonic Motion (SHM). SHM occurs whenever : i. there is a restoring force proportional to the disp
Fluids-1
Fluids (= liquids or gases)
Two definitions:
pressure = force , area p F , A
F = force perpendicular to area, [p] = N / m2 = pascal (Pa)
density =
mass , volume
m , V
( = greek letter "rho" )
[] = kg / m3 or gram / cm3 = g / cm3 water 1 gram 1
Page 1 of 6
Conservation of Angular Momentum = "Spin"
We can assign a direction to the angular velocity:
direction of = direction of axis + right hand rule
(with right hand, curl fingers in direction of rotation, thumb points
in direction of .) The direct
Conservation of Energy
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Conservation of Energy
The important conclusions of this chapter are:
If a system is isolated and there is no friction (no non-conservative forces), then
KE + PE = constant
(Our text uses the notation K +U = constant)
If ther
G-1
Gravity
Newton's Universal Law of Gravitation (first stated by Newton): any two masses m1 and m2 exert an attractive gravitational force on each other according to
F
m1 F
G
m1 m2 r2
F r m2
This applies to all masses, not just big ones. G = universal c
EW-1
Work and Energy
Energy is difficult to define because it comes in many different forms. It is hard to find a single
definition which covers all the forms.
Some types of energy:
kinetic energy (KE) = energy of motion
thermal energy = energy of "atomic
2D - 1
Motion in 2D
Velocity and acceleration are vectors. They can have any direction. When we are considering motion in the xy plane, these vectors can point anywhere in the plane. A common example of motion in 2D is.
Projectile motion
Consider a proje