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sliding block - Run μ Inertia kg*m 2 Radius r(m distance...

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F N F u mg W Date: 3/1/08 Lab Section: 012 TA: Anthony Mozynski Lauren Best Partners: Brian Stephens Zachariah Swope Sagar Patel Experimental Problem: Sliding Block 2. Abstract Find the velocity of the block after the mass has pulled the block a certain distance across a table. 3. Introduction and Theory After a mass is hung from a pulley, the block will slide across the table. This experiment uses both linear and angular kinematics and frictional force (applied to the block as it slides across the table). A) Coefficient of Friction = = - = - FM Ma T Fk T μkMg = = - Fm ma mg T B) = + mg∆x Mv22 + + mv22 Iv22 Mgμk∆x 4. Procedure The students will slide the block across a table several times. The masses of the block and the weigh will be varied with each run. ScienceWorkshop will be used to calculate the velocity and acceration of the block. 5. Data and Graphs .See attached Appendix 6. Calculations and Results Run # Mass of sliding block (g) Mass of falling weight (g) Acceleratio n m/s 2 1 346.1 260.4 1.4986 2 613 240.6 1.3786 3 150 346.1 1.57306
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Unformatted text preview: Run # μ Inertia, kg*m 2 Radius, r (m) distance, x (m) Velocity, m/s 1 0.484412049 2.03E-03 0.025 87.2 2.556144388 2 0.196608689 2.451669167 3 1.776452336 2.618876388 Average coefficient of friction 0.819157 7 Average Velocity (m/s) 2.54223 Standard Deviation of Velocity 0.084467 6 Solved Equations: =- -μk mg a MaMg = (-)( + + ) v 2r∆x mg Mgμk M m I 7. Conclusion After many calculations, I have found the average velocity of the sliding block is 2.54 m/s. Also, the average coefficient of friction is 0.819. This is off from the suggested value of 0.4. This could be due to the large variance in weights of the blocks. However, the first run was on track, while a coefficient of 0.48. There are many experiment uncertainties in this experiment. For example, the table is most likely unlevel, so the coefficient of friction will not be constant. Also, the block was not pulled at a constant rate, making the calculations somewhat off....
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