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. ...
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...
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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