background image

Physical Pendulum Accessory

Model No. ME-9858

10

®

Also, recheck what the car does after the collision.  If the car is moving at all, you don't 
have the mass correct; go back and adjust the mass.

2.Measure the speed of the car.

If using photogates, start measuring the speed for each trial, so that when you do get the 
pendulum to stop at the top, you can use the value as the speed (v

o

) of the car.  Otherwise, 

calculate the theoretical speed using the change in height.

Calculations

1.Using equation (1), calculate the distance 

.  

2.Calculate the rotational inertia of the pendulum (I) using equation #4.

3.Initial angular speed ( ) of the pendulum:

Because there is very little friction, we can assume conservation of energy as the pendulum 

swings up to its stopped position at the top.  Thus, the pendulum's total energy at the bottom 
(only rotational KE) is equal to its total energy at the top (only PE).  

Using equations #8 and #9, 

 and solving for the angular speed, 

.  

Using your values, calculate the initial angular speed,  . 

4. Angular momentum before and after the collision

 Using equation #5, calculate the angular momentum before the collision. 

 Using equation #6, calculate the resulting angular momentum of the pendulum.

How do these two values compare?  Calculate the percent difference between them.  What 
are the sources of error?  Did the momentum of the system really change?

5. Kinetic energy before and after the collision:

 Using equation #7, calculate the initial KE

o

 of the car.

x=

l

-d

2

1

ω

1
2

---

I

ω

2

2M

g

x

=

ω

4Mgx

I

---------------

·

=

ω

L

o

=m

o

v

o

r

L

I

ω

=

KE

o

1
2

---

m

o

v

o

2

=

Содержание ME-9858

Страница 1: ...Instruction Manual Manual No 012 08581A Physical Pendulum Accessory Model No ME 9858...

Страница 2: ......

Страница 3: ...r 6 Part II Record the Pendulum s Mass Length and Radius 6 Part III Collecting Velocity Data 7 Option 1 Measuring the Car s Velocity with Photogates and a Computer Interface 7 Option 2 Measuring the C...

Страница 4: ...with pivot pin 1 003 08577 2 Pivot Rod with Ball Bearings 1 616 101 3 Mass 1 gram 2 648 06505 4 Mass 2 grams 2 648 06506 5 Mass 5 grams 1 648 06507 6 Mass 10 grams 1 648 06508 Additional Equipment Req...

Страница 5: ...tudies of angular momentum linear and rotational kinetic energy and gravitational potential energy The release point of the Mini Car can be adjusted until the pendulum just makes it to the top of its...

Страница 6: ...shown in Figure 3a Use two rubber bands b Release the car backwards with the rubber band part of the bumper in front Note The bumper pin on the end of the pendulum must hit the middle of the rubber b...

Страница 7: ...o that its velocity after the collision is zero The mass needed to do this is independent of the speed of the car but if the car is moving too slowly friction will stop the car any way Start the car a...

Страница 8: ...ust the photogate up and down so that the flag blocks the photogate beam The nuts on the photogate support peg allow the sideways position of the photogate to also be changed For more information see...

Страница 9: ...dulum can experimentally be found by balancing it on a knife s edge but since the pins have negligible mass you can assume its center of mass is at the center l 2 Thus the distance x Figure 7 the dist...

Страница 10: ...mass increases its height by an amount h it increases its gravitational potential energy PE by an amount mgh For a non point mass like the physical pendulum the distance h is the amount the center of...

Страница 11: ...tle friction we can assume conservation of energy as the pendulum swings up to its stopped position at the top Thus the pendulum s total energy at the bottom only rotational KE is equal to its total e...

Страница 12: ...come to DataStudio window double click Create Experiment b In the Sensors list click and drag a Photogate icon to the picture of the interface i e to the same digital channel in which you have the pho...

Страница 13: ...on Copyright Notice The PASCO scientific 012 08581A Physical Pendulum Accessory Manual is copyrighted and all rights reserved However permission is granted to non profit educational institutions for r...

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