Chapter 04C, Problem Solving with Forces - Compatibility Modecommunity.wvu.edu/~miholcomb/Chapter...
Transcript of Chapter 04C, Problem Solving with Forces - Compatibility Modecommunity.wvu.edu/~miholcomb/Chapter...
Today’s Goals
• Introduce idea of Movie Review (due
March 13)
• Practicing With More Complicated Free
Body Diagrams to Solve Problems
• Learning How to Solve Problems on an
Incline
Test 2: Feb 26, 7pm, B51
“Movie” Review Part 1 (Your plan)
due in class March 13 – please print itGrammar and
Typos (2 pts)
Few if any grammatical errors and/or typos. In the real world, everything
you turn in should look professional. Practice now.
Description of Scene
( 5 points)
Based upon your description, it is very clear what is going on in the
scene (however, a youtube link is also helpful).
Appropriateness
(3 points)
You picked a scene related to class material and not obviously possible
or impossible (e.g. people flying), argument must be math based!
Formulas Provided
( 5 points)
Approach (5 pts.)
All of the formulas and only the appropriate formulas needed to calculate
the scene have been provided.
You have picked a reasonable approach with no flaws.
Identify variable(s)
to solve for
(5 points)
At least one variable is identified as what you will solve for to determine
if the scene can occur in real life. (Generally that variable is not time,
though you may need to solve for it to get something else.)
How you will find
out if variable(s)
reasonable
( 5 points)
You discuss how you will determine if your selected variable(s) are
actually achievable. This determination is either based on things that can
be found in papers, or based on more calculations.
Estimations
(5 points)
Any variables that need to be estimated are identified as well as how
estimations will be made.
To keep in mind
• Outlawed Scenes: Speed bus scene, circular bullet on
Wanted, Skyscraper movie poster, October Sky
(because it’s not fictional)
• Physics that is used a lot (sometimes several of
these): projectile motion, forces, friction, energy
(Ch.5) , impulse (section 6.1), pressure (section 9.2),
strain (section 9.3) if discussing bones breaking
• To include all of the necessary information, a good
Movie 1 proposal is typically almost one full page
• I can’t read your mind. The more you explain, the
better I can help you if you have something wrong.
Better to mess up on Movie 1 than Movie 2, which is
worth more points.
Tension
A 1200 kg elevator car
accelerates upward at 1
m/s2. Find the tension in
the cable.
The weight and tension the
cable can support limit the
acceleration that is safe.
Simpler, similar version:
Free Body Diagrams in Medical Treatment
Healing Depends on Supporting and sometimes gentle pulling
A setup similar to the one shown in the figure below is
often used in hospitals to support and apply a traction
(pulling) force to an injured leg.
(a)Determine the force of tension in the rope supporting the
leg (the upward force).
(b) What is the traction
force exerted on the leg?
Assume the traction force
is horizontal.
Medical Application: Support for Recovery
The trick with force
problems like this is to
figure out what to take a
free body diagram of.
The problem seems to suggest the leg, but you don’t know much about the leg.
Another thing FBDs are good for:
Inclined PlanesPhysics is infamous for sliding blocks down inclined planes
How boring! Why do we study it?
Many things we do involve inclines.Blocks are an easy way to simplify many complex objects.
In physics, we approximate
things as blocks or round
objects.
A real example: My Icy Driveway
When my driveway is a sheet of ice (ignore
friction), how fast do I need to be driving to get to
the top of my driveway?
Inclined
Driveway
Garage
3 m
(~10 feet)
Road~15°
Making 2 dimensions only 1!
x
y
A B
Why would I change x and y?
In Case A, need vx, vy, ∆x, ∆y?
Have to break up the vector components
In Case B: ∆y=0, vy=0
Acceleration changes though: ax=±9.8 sinθ
Better, unless if going around an inclined curve (Ch. 7)
Why ag,x=±9.8 Sinθ?
θ
y
x
y component of
acceleration
x component of
acceleration
Does the acceleration in the y
direction mean that it will
change velocity in y
direction? (Tricky question)
θθθθSAME ANGLE!
g
http://zonalandeducation.com/mstm/physics/mech
anics/forces/inclinedPlane/inclinedPlane.html
(Based on similar triangles argument)
Breaking up vector components:
Draw a line
parallel to y axis
from start of the
vector
Draw a line
parallel to x axis
from end of vector
Free fall is faster,
only part of
gravity pulls
downhill
My Icy Driveway
When my driveway is a sheet of ice (ignore friction
on slope), (a) how fast do I need to be driving to get to
the top of my driveway? (b) Is this feasible on an icy
day? (c) Is it feasible if my car was not in a garage?
Inclined
DrivewayGarage
3 m
Road~15°
Acceleration of starting for a typical car is only 0.5g.
So, how could I get out of my driveway?
When released, the cart accelerates up the ramp.
Which of the following is a correct free-body diagram for the cart?
A. B. C. D.
m1a m1a
w1 w1 w1 w1
T T T T
n n n n
A cart (weight w1) is attached
by a lightweight cable to a
bucket (weight w2) as shown.
The ramp is frictionless.
Q44
As long as the rope is free to move (e.g.
on a pulley), the tension in the rope is
the same at all locations on the rope.
Consider without plank
support
Net Force is Zero When an Object is in Equilibrium
If we want this 4 kg block (or leg) not to move when
the black board is removed, what weights should we
add to the ropes?
Draw the free body diagram when the black board is
removed.
25°65°
Atwood’s machineInvented in 1784 to verify constant
acceleration equations. Same principle
used in elevators and funicular railways.
Two masses hang from a pulley as shown in left
figure, with masses 2.0 kg and 4.0 kg. Find the
acceleration of each mass. Neglect the mass of the
pulley itself and the string.
2.0 kg
4.0 kg
Assumptions: massless
(very light) string and pulleym1=
m2=
Forces on Cars
A car accelerates down a
straight highway. Which of
the free-body diagrams
shown best represents the
forces on the car?
Friction prevents the wheels
from just spinning in place.
This is why a car on ice
sometimes can’t move.
(a) (b)
(c) (d)
(e) None of the Above
Q46
Consider the 3 situations below,
labeled A, B and C. Ignore friction.
After each system is released from rest, how do the tensions
in the strings compare?
A. A = B = C
B. A < B < C
C. A < C < B
D. B < A < C
E. B < C < A Q47
More challenging question
If you struggle to think
conceptually about it, it is
easier to determine if you
draw FBD & sum forces
Clicker Answers
Chapter/Section: Clicker #=Answer
44=A, 45=C, 46=D, 47=E