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Rotation Lab

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1. Use the velocity components to determine the direction of the velocity vector. Is it in the expected direction?  linear velocity: v = rw 4cm: v = 0.051 m/s 8cm: v = 0.102 m/s 12cm: v = 0.152 m/s The direction of the linear velocity is tangent to the circular path the beam takes which is expected. 2. Analyze enough different points in the same video to make a graph of the speed of a point as a function of distance from the axis of rotation. What quantity does the slope of this graph represent? For the fit, we utilized a cosine graph, and the average slope of the three radii was 1.27 rad/s, which reflects the angular velocity. We used the same video and allowed the beam to make two rotations to ensure that the angular velocity values were the same for all three radii. 3. Calculate the acceleration of each point and graph the acceleration as a function of the distance from the axis of rotation. What quantity does the slope of this graph represent?  The acceleration increa...
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Mouse Trap Car Contributions

Contributions: - used onshape to cad the frame used for the car - cadded multiple iterations of the frame to ensure success of the mouse trap car - took measurements of all pieces to be used for code and slides - assembled cart and tested multiples different lengths of string in order to make mouse trap car work - added all data from the physical model onto slides - help organize and put together slides for presentation 
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Incline Track

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You will have a meter stick, a stopwatch, cart masses and wooden blocks to create the incline. You may also use the video analysis equipment to estimate the effect of friction for measuring the efficiency.  Predictions Make a drawing of the cart on the level track before and after the impact with the bumper.  Define your system. Label the velocity and kinetic energy of all objects in your system before and after the impact. Write an expression for the efficiency of the bumper in terms of the final and initial kinetic energy of the cart. Write an expression for the energy dissipated during the impact with the bumper in terms of the kinetic energy before the impact and the kinetic energy after the impact. Whiteboard Question:  How will friction effect your result?  Even Table Hints:  Find a useful range of heights and inclined angles that will not cause damage to the carts or bumpers. Make sure that the cart will never contact bumper (end stop) during the impact. ...
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Angular Velocity Lab

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Analysis Determine the final linear velocity of the ring/disk/shaft/spool system for each case after the weight hits the ground. How is this linear velocity related to the final velocity of the hanging weight?  Be sure to use an analysis technique that makes the most efficient use of your data and your time.  If your calculation incorporates any assumptions, make sure you justify these assumptions based on data that you have analyzed.     Conclusion In each case, how do your measured and predicted values for the final angular velocity of the system compare? The small pulley (r = 0.15 cm) had the highest measured linear velocity (0.218 m/s), but its predicted value (0.101 m/s) deviated by 53.7% due to sliding friction dominating over rolling motion. The medium pulley (r = 1.3 cm) had a measured velocity of 0.299 m/s, while the large pulley (r = 2.5 cm) closely matched its predicted value (0.487 m/s vs. 0.502 m/s, only 3.1% difference). The large pulley’s accuracy conf...
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4/8 Frictional Force

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Analysis: For each new block mass, calculate the magnitude of the kinetic frictional force from the measured t.  Also determine the normal force on the block. constant angle for 29.5degree Graph the magnitude of the kinetic frictional force against the magnitude of the normal force, for a constant angle of incline.  On the same graph, show your predicted relationship. For each angle (h), calculate the magnitude of the kinetic frictional force from the measured t.  Also determine the normal force on the block. constant mass for 97.5g  Graph the magnitude of the kinetic frictional force against the magnitude of the normal force for a constant block mass.  On the same graph, show your predicted relationship. Calculate the uncertainty in your experimental technique.   Do your two graphs agree? Although our graphs do not agree entirely, they do end giving the same final value Conclusion: What is the coefficient of kinetic friction for wood on aluminum?...
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Hanging Mass and Cart Lab Write Up

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d = 0.275 +- 0.01 Conclusions: How do the predicted velocity and the measured velocity compare in each case? Did your measurements agree with your initial prediction? If not, why?  Our measurement were very similar to our predicted valued that was calculated. With a roughly 8% difference between the two numbers. The difference became more noticeable as the weight of the hanging mass increased. When the mass of the car changed the measured values had a slightly larger deviations. Does the launch velocity of the car depend on its mass? The mass of the block? The distance the block falls? Is there a choice of distance and block mass for which the mass of the car does not make much difference to its launch velocity? Yes, the launch velocity is proportional to the car's mass. A heavier car accelerates more slowly due to its increased inertia, resulting in a lower velocity. The mass of the hanging object is also important: heavier masses produce a stronger p...
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Hanging Bridge Lab Work

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  Data: We used weights varying from 0 g up to 300 g with a 50 g interval between each measurement  Graph: Our graph using the data we collected is shown above. The curve fit was a sin graph.  Our predicted curve fit was a tangent graph. Problem Write up for Blog: Where do the two curves match?   The two curves match when little mass was added to the middle (M) Where do the two curves start to diverge from one another?   Once the mass in the middle was around 150g we started to see the slope of our best fit line decrease and not align with our predicted behavior What does this tell you about the system?  The equation we derived is in a situation that we have a perfect pulley. But in the real world, the pulley has rotational inertia and friction that we need to consider. What are the limitations on the accuracy of your measurements and analysis? Some limitations can include measurement error, as we cannot get an accurate measurement with just our e...
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