Lesson 19 Rigid Body Kinematics Relative Velocity
Admin
HW due on Monday
No Team HW
Lesson Objectives
Apply the parallel axis theorem to calculate the mass moment of inertia about any given axis Apply the relative velocity equation to solve rigid body

IC13.1 Crate up a Ramp
Find an expression for the velocity of vA of the cart A down the incline in terms of the upward velocity vB of cylinder B.
Given: Geometry Find: vA in terms of vB Problem Type: Constrained Motion Solution: What is your first step?
y

EX22.1 Go Kart
Each of the go-carts front wheels weighs 5 lbs and has a mass moment of inertia of 0.01 slug-ft2. The two rear wheels and axle weigh 40 lbs with an I of 0.1 slug-ft2. The total weight of the go cart and driver is 240 lbs (including the whee

ll8
Ch a pt er 5
FREE -B O D Y I A GR A M E X E R C IS E S D
I/A In each of the flve following examples, the body to be isolated is shown in the left-hand diagram, and an izcomplete free-body diagram (FBD) of the isolated body is shown on the right. Add w

6/8 the uniform 5-kg bar AB is suspended in a vertical position from an accelerating vehicle and restrained by the wire BC. If the acceleration is a = 0.6g, determine the tension T in the wire and the magnitude of the total force supported by the pin at A

Tarzan has a mass of 100 kg. From rest,
he swings from the cliff rigidly holding
onto the tree vine, which is 10m
measured from the supporting limb A to
his center of mass. Determine his speed
just after the vine strikes the lower limb at
B. The vine will

L8 Objectives
1. Understand definitions of work and energy and how to calculate work.
2. Calculate the power generated by individual and sums of forces on a particle.
3. Apply work-energy relationships to solve dynamics problems.
Work Energy Equation
T1 +

Example 8.1 Cyclist
Power
Lance Armstrong Power
EX8.1 Power of Cyclist
The cyclist shown along with his bike weigh
200 lbs. What power P is the man
developing in riding up a 5% grade at a
constant speed of 15 mi/hr.
Given: W=200 lbs, v=15 mph, Grade = 5%

In Class 8.1 Car Bumper
Design
Bumper Test
IC8.1 Car Bumper Design
3/111 You want to bring the 3500 lb car to a stop
from a speed of 5 mph. You want it to stop in a
distance of 6 inches, so find the stiffness of the
two springs behind the bumper. The two

EX8.2 50-lb Slider
The 50 lb slider in the position shown has an initial
velocity v1of 2 ft/sec. Slides under influence of
gravity and friction. k = 0.5. Find the velocity of the
slider as it passes a position for which the spring is
compressed x= 4 inche

Lesson 9
Example 9.1 Sudden
Removal of Support
Bridge Collapse (Tragedy in
Minneapolis)
EX9.1 Sudden Removal of Support
In the structural design of the upper floors of an industrial
building, allowance must be made of the accidental dropping Datum
of hea

Lesson 9
Kinetics: Work-Energy #2
Past ME212 Student Advice: Don't Fall behind. Look over
the PPT slides before and after class. I lost too many
points for in-class quizzes, so make sure to study before
the quizzes. Dynamics can be easier than it sounds,

IC1 Pile Driver
The 450 kg ram of a pile driver falls 1.4 m from
rest and strikes the top of a 240 kg pike
embedded 0.9 m in the ground. Upon impact,
the ram is seen to move with the pile with no
appreciable rebound. Determine the velocity v
of the ram an

A 1000 kg spacecraft is travelling with a
speed of vs= 2000 m/s when a 10 kg
meteor moving with a velocity vm of
magnitude 5000 m/s in the direction
shown strikes and becomes embedded
in the spacecraft. Determine the final
velocity v of the mass center of

S13
Lesson 12
Review and
Combined Approaches
Equation Sheet Rules
(under FAQ on Bboard)
For Midterm you get of a 8 x 11 page
or one side of a note card
VAR Project
Will post two more accidents on Wed
Part of HW that will be due on Friday
You should st

Ex 2. Determine the acceleration of the
8 kg collar relative to the bar if the
coefficient of kinetic friction between
the bar and the collar is 0.1.
Type of problem/approach:
Relates force and
acceleration, so Newtons
second law. Draw the FBD
and MAD.
Sk

The 20 Mg truck starts from rest and pulls
the 2000 kg crate as shown in the figure.
The 20o angle between the rope and the
ground is constant, and the tension in the
rope is measured using an S-type force
transducer. This force was found to follow
the eq

Design of Wheelchair Ramps
EX1 For this example, we will just model the wheelchair as
a simple block going up an inclined plane with an initial
speed of 0.2 m/s. We can then vary different parameters to
get an idea of the acceleration up (or down) the ram

IC4.2 Race Car on Bank
Hit F5 to Begin
Video:
NASCAR on Banked Turn
Click on link. Your computer
will open a browser. After you
watch the video, close the
browser and return to
Powerpoint and left click to
continue to next page.
IC4.2 Race Car on a Bank

For instant shown, A has a speed of 100
km/hr, which increases at 8 km/hr per
second. Car B also has a speed of 100
km/hr which is decreasing at 8 km/hr. Find
the acceleration that Car B appears to have
to an observer in Car A.
Given: vA= 100 km/hr, aA =

C6 Objectives
1. Understand translating frames of reference and relative motion
2. Use translating frames of reference to analyze relative motion
Definitions
vB = v A + vB A
a B = a A + aB A
Airplane A is flying horizontally with a constant speed
of 200 k

L1 Objectives
1. Know the basic Active-Learning strategies for this class.
2. List the three main principles that will be covered in the course.
3. Draw accurate and complete free body diagrams and kinematic diagrams for particle dynamics
problems.
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