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M o d e l   N o .   M E - 9 8 9 2

  E x p e r i m e n t   2 :   C o n s e r v a t i o n   o f   M o m e n t u m   a n d   E n e r g y

11

Procedure

1.

Load the launcher and push the ball in to the third (fastest) position.

2.

Move the pendulum into the vertical position. If it does not stay that way by 
itself, hold it very lightly with one finger.

3.

Start data collection.

4.

Launch the ball so that it is caught by pendulum.

5.

After the pendulum has swung out and back, stop data collection.

6.

Note the maximum angular displacement measured by the RMS. Record it in 
Table 2.1

7.

Record the initial angular velocity (just after the collision) in Table 2.1. Because 
this velocity occurs close to the collision, the RMS cannot measure it accurately. 
Instead, note the maximum 

negative

 velocity that occurs when the pendulum 

swings back toward the launcher (record it as a positive value). Though this 
might be slightly smaller than the actual initial velocity (due to friction), it is a 
more reliable measurement.

8.

Repeat steps 1 through 7 several times. 

9.

Calculate the average maximum displacement (

max

) and the average initial 

velocity (

0

). 

10.

Measure the mass of the ball. 

m

ball

= _____________________

11.

Fire the ball into the catcher one more time (without recording data). Catch the 
pendulum near the top of its swing so it does not swing back and hit the launcher 
(this will prevent the ball from falling out or shifting).

12.

Measure the distance,  , from the center of rotation (where the pendulum attaches 
to the RMS) to the center of ball.  = _____________________

Part 3: Determine Rotational Inertia of Pendulum-ball System

Set-up

1.

Remove the RMS from the mounting rod. (Leave the pendulum attached to the 
RMS and leave the ball in the catcher.)

Table 2.1: Angular Displacement and Velocity

Trial

Maximum 

Angle

Initial Angular 

Velocity

Trial 1

Trial 2

Trial 3

Trial 4

Trial 5

Trial 6

Average:

max

=

0

=

Summary of Contents for ME-9892

Page 1: ...Ballistic Pendulum Accessory ME 9892 Instruction Manual with Experiment Guide 012 09842C...

Page 2: ...rvation of Momentum and Energy 10 Background 10 Part 1 Measure Launch Velocity 10 Part 2 Record Ballistic Pendulum Data 10 Part 3 Determine Rotational Inertia of Pendulum ball System 11 Analysis 13 Qu...

Page 3: ...ting rod ME 8738 or similar C clamp SE 7286 or similar Optional Equipment Part Number Photogates qty 2 2 ME 9498A or similar Digital Adapter1 2 PS 2159 Photogate Mounting Bracket2 ME 6821 Super Pulley...

Page 4: ...apparatus can be config ured as a physical pendulum or rotational system with adjustable moment of inertia This manual includes set up instructions and experiment instructions Equipment Set up Assemb...

Page 5: ...Figure 5 Leave a 2 5 cm gap between the launcher and the pendulum Load the Launcher 1 Swing the pendulum out of the way as shown in Figure 6 2 Place the steel ball in the end of the barrel Caution Us...

Page 6: ...unch the software s on line help Test Fire 1 Start data recording 2 Pull the trigger of the launcher 3 Stop data collection Figure 7 shows typical data for an inelastic collision If your data shows ne...

Page 7: ...y after the collision eq 1 1 where V is the speed of the catcher ball system just after the collision and eq 1 2 M mball mpend During the collision some of the ball s initial kinetic energy is convert...

Page 8: ...3 Remove the screw from the pendulum shaft 4 With the ball still in the catcher place the pendulum at the edge of a table with the pendulum shaft perpendicular to the edge and the counterweight hangi...

Page 9: ...V0 _____________________ Question The theory for this experiment ignores the rotational inertia of the pendulum Because the pendulum is not really a simple pendulum a point mass on a massless rod a sy...

Page 10: ...of the pendulum ball system Part 1 Measure Launch Velocity Set up the launcher with two photogates and a photogate bracket see Figure 2 1 Measure the launch velocity Vlaunch of the ball on the fastest...

Page 11: ...lue Though this might be slightly smaller than the actual initial velocity due to friction it is a more reliable measurement 8 Repeat steps 1 through 7 several times 9 Calculate the average maximum di...

Page 12: ...collection 2 Release the hanging mass 3 After the string has unwound from the three step pulley stop data collection 4 Determine the angular acceleration of the pendulum from the slope of the angular...

Page 13: ...all Klaunch before the collision 4 Calculate the kinetic energy of the ball pendulum system K0 immediately after the collision 5 Use the maximum angular displacement of the pendulum max to calculate t...

Page 14: ...e pendulum ball system see Experiment 1 Measure the distance r from the axis of the RMS to the center of mass When you calculate the potential energy gain of the system the height h is the change in h...

Page 15: ...in the catcher 7 For the two cases ball hitting the bumper and ball being caught compare the angular velocity of the pendulum just after the collision Compare the maximum angular displacement for the...

Page 16: ...e disk and optionally the ring to increase the moment of inertial After the collision stop the catcher with your hand before it swings around and hits the back of the launcher In this variation of the...

Page 17: ...sold for profit Reproduction under any other circumstances without the written consent of PASCO scientific is prohibited Trademarks PASCO PASCO scientific PASCO Capstone PASPORT SPARK SLS and Xplorer...

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