Problem Set 1
)
(
Problem 1. The expression y =0.2t 3 + 1.8t 2 3t + 14 ft describes the position of a
particle moving along the y axis over the time interval ( 0 t 4 s ) . On that time
interval, determine (a) the maximum and minimum values of the particle
Lecture 7
Path of
Radial and Transverse Components
Motion
As we recall from earlier, in radial and transverse
components, we define motion in terms the distance
from the origin of coordinates, r, and the angle a line
from the origin of coordinates makes w
Lecture 5
As a pedagogical question, is there a difference between the meanings of the terms constant
velocity and constant speed?
Dependent Motion
Consider two particles where the motion of one particle depends
upon the motion of the other because someth
Lecture 4
Planar Particle Motion Defined in Normal and Tangential Components
y
Consider a particle moving along a
curved path with velocity v as shown.
The parameter s denotes distance along
the path.
O
Let ut denote a unit vector in the
direction of v (t
Lecture 3
Curvilinear Motion in Rectangular Coordinates (Time for Some Vectors)
Position
z
Consider particle P moving along a
curved path. The position vector r
defines the position of P in space.
P
r x t i y t j z t k
The vector r has its tail on the ori
Lecture 2
Case 2. Acceleration as a Function of Position. We know a f s with initial
conditions v o and s o , usually when t 0 . We wish to find a position as a function of
time. (The integration can get messy, here.) We proceed as follows:
dv
ds
a ( ) v
Lecture 1
Opening Comments:
Instructor
Professor H. Scott Norville, P.E., Ph.D.
Office: CEE 111
Telephone: 834-4534
Office Hours: Monday, Wednesday & Friday, 9:00-12:00 (If I am
out of town, I will announce it.)
Prerequisites for the Course
CE 2301 Static
Problem Set 3
t2 2 t i
4 sin t j
3 e 0 . 0 5 t k m m
describes
the path of motion of a particle in space. We measure t in seconds. Write expressions
for the particles velocityt and s acceleration. Determine the particles position, velocity,
2
t
2 s
and
Problem Set 2
Problem 1. A particle moves along the z axis with acceleration a =
( 40z ) m in which
s
1
we measure z in meters and t in seconds. When t = 4 s the particle moves with velocity
m
at position z = 6 m . Determine the particles position when it
Population and Culture
1. Explain the demographic transition process. Understand the concept of carrying
capacity as it relates to the planets human population.
The demographic transition process refers to high birth rates and death rates are low
dependin