Fixed-Axis
Rotation
Lecture 24
ME 231: Dynamics
Question of the Day
The uniform slender bar is released from rest in
the horizontal position shown.
Determine the value of
x for which the
angular acceleration
is maximum, and
determine at this x.
ME 231: D
General
Plane Motion
Lecture 26
ME 231: Dynamics
What Additional Steps Are Required for
Inverse Dynamics?
1. Create free body diagram
Reaction forces & moments
Distance forces & moments
Kinematics: study of motion of a body without
considering forces th
General
Plane Motion
Lecture 25
ME 231: Dynamics
Question of the Day
The door of a moving car is inadvertently left
slightly open. The brakes are applied to give the
car a constant rearward acceleration.
Determine
expressions for the
angular velocity of
t
Rigid Body
Equations
of Motion
Lecture 23
ME 231: Dynamics
Question of the Day
The 3200-lb front-engine car is traveling
forward at a constant velocity when the brakes
lock up all four wheels. The coefficient of kinetic
friction is 0.8 between the tire an
Rigid Body
Equations of
Motion
Lecture 22
ME 231: Dynamics
Question of the Day
The rifle is rotating in the
horizontal plane about the vertical
z-axis at a constant angular rate of 0.5
rad/s when a 60-g bullet is fired and reaches
point A with a velocity
Lecture 21
Question of the Day
A jet flies in a trajectory to allow astronauts
experience a weightless condition. The speed at
the highest point is 600 mi/hr.
What is the radius of curvature
simulate weightlessness?
ME 231: Dynamics
necessary to
2
Outlin
Lecture 20
ME 231: Dynamics
Question of the Day
The 170-lb man in the bosuns chair
pulls on the rope with 60 lb of force.
Determine his acceleration.
ME 231: Dynamics
2
Outline for Today
Question of the day
Rectilinear motion exercises
Exam 1 solution
Ans
Equations of Motion
Lecture 19
ME 231: Dynamics
Question of the Day
Determine the vertical acceleration of the 60lb cylinder for each of the two cases.
ME 231: Dynamics
2
Outline for Today
Question of the day
Free body diagram
Equations of motion
Two type
Newtons 2nd Law
Lecture 18
ME 231: Dynamics
Question of the Day
Which defensive player generates the
largest tackling force?
DB 5-11 203 lb (92 kg) LB 5-10 224 lb (101 kg)
4.94 s 40-yd dash
4.35 s 40-yd dash
a = 29.60 m/s2
a = 33.63 m/s2
ME 231: Dynamics
Kinematics of Rigid Bodies (Ch. 5) Review
Lecture 17
ME 231: Dynamics
Question of the Day
What is the most important concept in
Chapter 5? Transformation of a Time Derivative
ME 231: Dynamics
Outline for Today
Question of the day
Absolute-motion analysis
Kinematics of Particles (Ch. 2) Review
Lecture 16
ME 231: Dynamics
Question of the Day
What is the most important concept in
Chapter
Chapter 2? Time Derivative of a Vector
ME 231: Dynamics
Outline for Today
Question of the day
Where are we in the course?
Kinematics of Particles (Ch. 2) Review
Lecture 16
ME 231: Dynamics
Question of the Day
What is the most important concept in
Chapter
Chapter 2? Time Derivative of a Vector
ME 231: Dynamics
Outline for Today
Question of the day
Where are we in the course?
Motion Relative to Rotating Axes
Lecture 15
ME 231: Dynamics
Question of the Day
A tall pendulum free to
oscillate in any vertical
plane is set in motion at
the north pole.
What direction would the
pendulum swing in space?
What direction on Earth?
ME 231:
Motion Relative to Rotating Axes
Lecture 15
ME 231: Dynamics
Question of the Day
A tall pendulum free to
oscillate in any vertical
plane is set in motion at
the north pole.
What direction would the
pendulum swing in space?
What direction on Earth?
ME 231:
Motion Relative
to Rotating Axes
Lecture 14
ME 231: Dynamics
Question of the Day
A wheel rotates 180 in the time it takes a ball dropped
from the top of the wheel to reach the ground. What is the
motion of the ball observed from a moving reference
frame a
Relative Acceleration
Lecture 13
ME 231: Dynamics
Question of the Day
The acceleration of the cart
is 4 ft/s2 to the right.
Determine the angular
acceleration of the wheel so
that point A on the top of
the rim has a horizontal
component of acceleration
eq
Instantaneous Center of Zero Velocity
Lecture 12
ME 231: Dynamics
Question of the Day
A wheel of radius r rolls
without slipping and has
velocity 0.8 in/s and
angular velocity 1.0 rad/s.
What point(s) on the wheel
has zero velocity?
A wheel of radius r ro
Impulse-Momentum
Problems
Lecture 30
ME 231: Dynamics
Question of the Day
Each of five connected particles has a mass of
0.6 kg, the velocity of G is 3i+4j, and the
angular momentum
of the system about
G is 1.2k kgm2/s.
Determine the
angular momentum
HO o
Impulse-Momentum for Rigid Bodies
Lecture 31
ME 231: Dynamics
Question of the Day
A slender bar of mass 0.8 kg and
length 0.4 m is falling with a
velocity v = 2 m/s and angular
velocity = 10 rad/s.
Determine the
angular momentum
HO of the bar about
point
Curvilinear
(Two-Dimensional)
Motion
Lecture 3
ME 231: Dynamics
Question of the Day
A particle moving
along a curved
path has a
position vector
(r) given by
r = xi + yj
Determine the
velocity and
acceleration of
the particle.
ME 231: Dynamics
Outline for
Rectilinear
(One-Dimensional)
Motion
Lecture 2
ME 231: Dynamics
Question of the Day
A particle moving along a straight line has
a position (s) as a function of time (t)
given by
s(t) = t3 10t + 4
-s(t)
s(t)
-10 -5
0
5
10 15 20 25 30
Determine the velocity
Overview & Introduction
Lecture 1
ME 231: Dynamics
Question of the Day
About 110,000 results on
from the past two years alone
What is dynamics
& why is it
important?
ME 231: Dynamics
Outline for Today
Question of the day
Who am I?
Who are you?
What is in
HOMEWORK INSTRUCTIONS
ME 231 ~ Dynamics
Attach a cover sheet to each homework assignment indicating the following:
Your name
Homework set number
Problems completed
Example:
John Smith
Homework Set 4
Problems completed: 4/1 through 4/6, 4/8, and 4/9
In gen