Page 4 - . 2 m C l a s s i c D y n a m i c s S y s t e m
2 . 2 m C l a s s i c D y n a m i c s S y s t e m M E - 9 4 5 2 A ® 4 2 3 4 5 6 7 8 a c b 1 13 12 11 10 9
Page 5 - I n t ro d u c t i o n; s—both traditional and computer-based—for an; Included Equipment
® 5 I n t ro d u c t i o n The 2.2 m Classic Dynamics System includes everything you need for a variety of experiments and demonstra-tions. You can also combine it with many other PASCO produc t s—both traditional and computer-based—for an even greater range of uses. This manual contains description...
Page 6 - A b o u t t h e E q u i p m e n t; Track; The 2.2 m aluminum track has two groves to guide the; Plunger Cart and Collision Cart; These carts run along the track on low-fric-; Cart Masses; These masses are designed to be placed on the upper tray of a cart.
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m A b o u t t h e E q u i p m e n t 6 A b o u t t h e E q u i p m e n t Track The 2.2 m aluminum track has two groves to guide the wheels of carts, a metric scale for measuring cart positions, and T-slots on both sides for attaching end stops, leveli...
Page 7 - A b o u t t h e E q u i p m e n t; Attach the feet to the track as illustrated.; Adjustable End Stops; Attach the end stops to the track; Harmonic Springs; Ideal for studying harmonic oscillation; Friction Block; The friction block has two different surfaces (wood and felt) and
® M o d e l N o . M E - 9 4 5 2 A b o u t t h e E q u i p m e n t 7 Adjustable Feet Attach the feet to the track as illustrated. Turn the feet screws to level the track then tighten the lock nuts to secure them. For maximum stability, position the feet about 1/4 of the track length from each end Adj...
Page 8 - vate one end of the track on a vertical rod.; Super Pulley with Clamp; Attach the angle indicator to the track as illustrated, or remove; Spring Cart Launcher; This accessory is designed for the
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m A b o u t t h e E q u i p m e n t 8 Pivot Clamp Attach the pivot clamp to the T-slot of the track (as illustrated) to ele- vate one end of the track on a vertical rod. Super Pulley with Clamp This low-friction, low-inertia pulley is designed for cl...
Page 9 - S p a r e P a r t s; S p a r e Pa r t s
® M o d e l N o . M E - 9 4 5 2 S p a r e P a r t s 9 S p a r e Pa r t s You can order any of the major components of the system using the part numbers listed in the table on page 5. For an assortment of smaller parts, the following kits are available. IDS Spares Kit (ME-9823) This kit includes asso...
Page 11 - E x p e r i m e n t 1 : C o n s e r v a t i o n o f M o m e n t u m i n E x p l o s i o n s; Purpose; Thus the ratio of the distances is equal to the ratio of the masses:; Procedure; away
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 1 : C o n s e r v a t i o n o f M o m e n t u m i n E x p l o s i o n s 11 E x p e r i m e n t 1 : C o n s e r va t i o n o f M o m e n t u m i n E x p l o s i o n s Purpose The purpose of this experiment is to demonstrate conservation of momentum ...
Page 12 - Data Analysis; Calculate the ratio of the masses and record in the table.; Questions
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 1 : C o n s e r v a t i o n o f M o m e n t u m i n E x p l o s i o n s 12 Figure 1.1 2. For each of the cases in Table 1.1, place the two carts against each other with the plunger of one cart pushed completely in and latched in...
Page 13 - 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 i n C o l l i s i o n s; Instal the feet on the track and level it.; A. Carts with Equal Mass; velocity toward the cart at rest.
® M o d e l N o . M E - 9 4 5 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 i n C o l l i s i o n s 13 E x p e r i m e n t 2 : C o n s e r va t i o n o f M o m e n t u m i n C o l l i s i o n s Purpose The purpose of this experiment is to qualitatively explore conservation of...
Page 14 - mately the same velocity toward each other.; B. Carts with Unequal Mass; initial velocity toward the cart at rest.; Part II: Completely Inelastic Collisions
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m 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 i n C o l l i s i o n s 14 Case A2: Start the carts with one at each end of the track. Give each cart approxi- mately the same velocity toward each other. Case A3: Start both carts...
Page 15 - E x p e r i m e n t 3 : S i m p l e H a r m o n i c O s c i l l a t o r; Measurements to Find the Spring Constant and Theoretical Period
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 3 : S i m p l e H a r m o n i c O s c i l l a t o r 15 E x p e r i m e n t 3 : S i m p l e H a r m o n i c O s c i l l a t o r Purpose The purpose is to measure the period of oscillation of a spring and mass system and compare it to the theoretical...
Page 16 - Measuring the Experimental Period; Add a 500 g mass to the cart and repeat steps 9 and 10.; Calculations; Spring Constant and Theoretical Period
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 3 : S i m p l e H a r m o n i c O s c i l l a t o r 16 6. Tie a string to the end of the cart farther from the pulley. Wrap the string under the cart; then run it under one end stop and over the pulley as shown in Figure 3.1. At...
Page 17 - Experimental Period; Comparison
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 3 : S i m p l e H a r m o n i c O s c i l l a t o r 17 3. Using the mass of the cart and the spring constant, calculate the theoretical period of the cart alone and with added mass. theoretical period of cart alone ________________ theoretical peri...
Page 18 - E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n cl i n e; where; Instal the end stop on the track near one end.
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n c l i n e 18 E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n cl i n e Purpose In this experiment, you will measure the period of oscillation of a spring and mass system on an i...
Page 19 - E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n c l i n e; Remove all of the added mass from the cart.; m g
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n c l i n e 19 the pivot clamp and support stand to hold the track at this angle. Measure this angle and record it in Table 4.1. 5. Let the cart hang freely and come to rest. Record the equilibrium position in ...
Page 20 - Does the period vary as the angle is changed?
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 4 : O s c i l l a t i o n s o n a n I n c l i n e 20 2. Calculate the period by dividing these average values by 3 and record the periods in Table 4.2. Questions 1. Does the period vary as the angle is changed? 2. How do the exp...
Page 21 - E x p e r i m e n t 5 : S p r i n g s i n S e r i e s a n d P a r a l l e l; E x p e r i m e n t 5 : S p r i n g s i n S e r i e s a n d Pa r a l l e l; Measuring the Spring Constant of a Single Spring; Measure the mass of the cart. Record this value at the top of Table 5.1.
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 5 : S p r i n g s i n S e r i e s a n d P a r a l l e l 21 E x p e r i m e n t 5 : S p r i n g s i n S e r i e s a n d Pa r a l l e l Purpose In this experiment, you will measure and compare the periods of oscillation of a cart attached to various ...
Page 23 - E x p e r i m e n t 6 : L a u n c h S p e e d; E x p e r i m e n t 6 : L a u n ch S p e e d; Install the feet on the track and level it.; Varying Spring Compression:; Repeat step 3 three times. Perform the first trial
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 6 : L a u n c h S p e e d 23 E x p e r i m e n t 6 : L a u n ch S p e e d Purpose In this experiment, you will qualitatively demonstrate how the final speed of the plunger cart depends on its mass and the initial compression of the plunger spring. ...
Page 24 - E x p e r i m e n t 7 : N ew t o n ’s S e c o n d L aw; m a; d t
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 7 : N e w t o n ’ s S e c o n d L a w 24 E x p e r i m e n t 7 : N ew t o n ’s S e c o n d L aw Purpose In this experiment, you will verify Newton’s Second Law, F = m a . Theory According to Newton’s Second Law, F = m a , where ...
Page 25 - E x p e r i m e n t 7 : N e w t o n ’ s S e c o n d L a w
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 7 : N e w t o n ’ s S e c o n d L a w 25 5. Pull the cart back until the mass hanger reaches the pulley. Record this initial release position in Table 7.1. This will be the release position for all the trials. Make a test run to determine how much ...
Page 26 - mg
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 8 : A c c e l e r a t i o n D o w n a n I n c l i n e 26 E x p e r i m e n t 8 : A c c e l e r a t i o n D ow n a n I n cl i n e Purpose In this experiment, you will investigate how the acceleration of a cart rolling down an inc...
Page 27 - E x p e r i m e n t 8 : A c c e l e r a t i o n D o w n a n I n c l i n e; Calculate the average time for each angle and record it in Table 8.1.; sin
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 8 : A c c e l e r a t i o n D o w n a n I n c l i n e 27 stopwatch. Repeat this measurement 10 times (with different people doing the timing). Record all the values in Table 8.1. 5. Lower the end of the track by 1 cm and repeat step 4. Use the same...
Page 28 - How will doubling the mass of the cart affect the results? Try it.
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 8 : A c c e l e r a t i o n D o w n a n I n c l i n e 28 4. Measure the hypotenuse of the triangle formed by the track and use this to calcu-late sin for each angle. Hypotenuse = __________ 5. Plot acceleration versus sin . ...
Page 29 - E x p e r i m e n t 9 : C o n s e r v a t i o n o f E n e r g y; E x p e r i m e n t 9 : C o n s e r va t i o n o f E n e rgy; k x
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 9 : C o n s e r v a t i o n o f E n e r g y 29 E x p e r i m e n t 9 : C o n s e r va t i o n o f E n e rgy Purpose In this experiment, you will determine the spring constant of a compression spring and use the spring to launch a cart up an incline...
Page 30 - Part I: Spring Constant
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m E x p e r i m e n t 9 : C o n s e r v a t i o n o f E n e r g y 30 Part I: Spring Constant Procedure 1. Fit the spring cart launcher onto the top of the cart (as illustrated). Tighten the thumbscrews to secure it. 2. Select one of the included spri...
Page 31 - Part II: Spring Potential Energy and Kinetic Energy
® M o d e l N o . M E - 9 4 5 2 E x p e r i m e n t 9 : C o n s e r v a t i o n o f E n e r g y 31 Part II: Spring Potential Energy and Kinetic Energy Procedure 1. Place a second end stop on the track about 8 cm behind the first end stop. 2. Elevate one end of the track by about 20 cm. 3. Hold the c...
Page 32 - Te ch n i c a l S u p p o r t; For assistance with any PASCO product, contact PASCO at:
® 2 . 2 m C l a s s i c D y n a m i c s S y s t e m T e c h n i c a l S u p p o r t 34 Te ch n i c a l S u p p o r t For assistance with any PASCO product, contact PASCO at: Limited WarrantyFor a description of the product warranty, see the PASCO catalog. CopyrightThe PASCO scientific 012-05024G 2.2...