Page 2 - S to r a g e a n d S a fe t y; Always store the Magnetic Damping Accessory with the keeper in; to avoid being pinched or chipping the; Q u a l i t a ti v e D e m o n s tr a t io n s
® D y n a m i c s C a r t M a g n e t i c D a m p i n g S t o r a g e a n d S a f e t y 2 2. Place the Magnetic Damping Accessory on the magnet-equipped end of the cart as illustrated. 3. Place the cart on an aluminum track. 4. Slide the Magnetic Damping Accessory up or down to adjust the amount of ...
Page 3 - E x p e r im e n t 1 : D a m p e d O s c i l l a t i o n; Pull the cart up the track and hold it 20.0 cm from equilibrium.; Equipment
® M E - 6 8 2 8 E x p e r i m e n t 1 : D a m p e d O s c i l l a t i o n 3 E x p e r im e n t 1 : D a m p e d O s c i l l a t i o n Set-up 1. Set up the equipment as illustrated. Use two or three weak springs combined end-to-end. Experiment set-up for Damped Oscillation 2. Adjust the angle of the t...
Page 4 - Data Collection; Question
® D y n a m i c s C a r t M a g n e t i c D a m p i n g E x p e r i m e n t 1 : D a m p e d O s c i l l a t i o n 4 4. Release the cart. 5. Allow the cart to oscillate. Count (and write down) the number of down-up cycles that the cart completes before stopping. 6. Repeat steps 3 through 5 with the g...
Page 5 - E x p e r im e n t 2 : C r i t i c a l D a m p i n g
® M E - 6 8 2 8 E x p e r i m e n t 2 : C r i t i c a l D a m p i n g 5 E x p e r im e n t 2 : C r i t i c a l D a m p i n g Set-up 1. Set up the equipment as illustrated. Use two or three weak springs combined end-to-end. 2. Adjust the angle of the track (or the position of the end stop) so that th...
Page 6 - exactly
® D y n a m i c s C a r t M a g n e t i c D a m p i n g E x p e r i m e n t 2 : C r i t i c a l D a m p i n g 6 3. Use tape or a pencil to mark the track about 50 cm above equilibrium. 4. Pull the cart up the track to the mark. 5. Let the cart go and carefully observe it’s movement as it comes to a ...
Page 7 - E x p e r i m e n t 2 : C r i t i c a l D a m p i n g; k x
® M E - 6 8 2 8 E x p e r i m e n t 2 : C r i t i c a l D a m p i n g 7 Data Collection 1. Pull the cart up the track exactly to the mark. 2. Release the cart and start data recording at the same time. 3. Wait until the cart stops. 4. Stop data recording. 5. Move the magnets up by about 1 mm to make...
Page 8 - Under damping
® D y n a m i c s C a r t M a g n e t i c D a m p i n g E x p e r i m e n t 2 : C r i t i c a l D a m p i n g 8 b , the damping constant ( ) determined by the height of the magnets , the natural frequency of the system in the absence of damping , a quantity with units of frequency If m and k are hel...
Page 9 - E x p e r im e n t 3 : Pr e d i c t i n g Te r m i n a l Ve l o c i ty; Introduction; Theory; b v
® M E - 6 8 2 8 E x p e r i m e n t 3 : P r e d i c t i n g T e r m i n a l V e l o c i t y 9 E x p e r im e n t 3 : Pr e d i c t i n g Te r m i n a l Ve l o c i ty Introduction In this experiment, you will study the motion of a magnetically damped cart. First, you will discover the relationship bet...
Page 10 - m a
® D y n a m i c s C a r t M a g n e t i c D a m p i n g E x p e r i m e n t 3 : P r e d i c t i n g T e r m i n a l V e l o c i t y 10 Equation 3 assumes that magnetic drag is the only source of friction. A real cart is also affected by friction that is not proportional velocity, but is constant as ...
Page 11 - E x p e r i m e n t 3 : P r e d i c t i n g T e r m i n a l V e l o c i t y; after; Analysis; Part II: Predicting Terminal Velocity; m b; m g
® M E - 6 8 2 8 E x p e r i m e n t 3 : P r e d i c t i n g T e r m i n a l V e l o c i t y 11 Data Collection You may need to try several times to complete the following steps successfully. If you do not get it right, delete your data and try again. The recorded data should show the motion of the c...
Page 12 - Part III: Measuring Terminal Velocity; Questions
® D y n a m i c s C a r t M a g n e t i c D a m p i n g E x p e r i m e n t 3 : P r e d i c t i n g T e r m i n a l V e l o c i t y 12 Part III: Measuring Terminal Velocity Set-up 1. Take the cart off the track and set it aside. (Be careful not to let the Magnetic Damping Accessory shift on the cart...
Page 13 - S a m p l e D a t a; S a m p le D a t a; Experiment 1: Damped Oscillation
® M E - 6 8 2 8 S a m p l e D a t a 13 S a m p le D a t a Experiment 1: Damped Oscillation Damping increases as the magnets are moved closer to the track. Experiment 2: Critical Damping Critical damp-ing makes the cart stop in the shortest time. Note that, due to static fric-tion, the under-damped c...
Page 14 - Experiment 3: Predicting Terminal Velocity; From the slope and intercept of the best-fit line:
® D y n a m i c s C a r t M a g n e t i c D a m p i n g S a m p l e D a t a 14 Experiment 3: Predicting Terminal Velocity The graph below shows position versus time as the cart is coming to a stop on a level track. The graph below shows velocity versus acceleration for the cart on the level track. F...
Page 15 - T e c h n i c a l S u p p o r t; Te c h n i c a l S u p p o r t; For assistance with any PASCO product, contact PASCO at:; Address: PASCO scientific
® M E - 6 8 2 8 T e c h n i c a l S u p p o r t 15 Te c h n i c a l S u p p o r t For assistance with any PASCO product, contact PASCO at: Limited Warranty For a description of the product warranty, see the PASCO catalog. Copyright The PASCO scientific 012-10242A Dynamics Car t Magnetic Damping Inst...