{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "%%html\n", "\n", "\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Jupyter Notebook Instructions\n", "-
To begin, click 'Cell' on the toolbar then select 'Run All'. __Only do this once__.
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__All work must be done in Markdown cells.__ To __type a response__ in a Markdown cell, __double click the Markdown cell then begin writing__. When __finished, press _shift_ and _enter___ and your text will render.
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To insert a Markdown cell, click the small '+' icon located just below the 'file' button on the toolbar. Then change the cell type from Code to Markdown by clicking on the pull down menu located just below the 'Widgets button on the toolbar.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Refer to the links at the bottom of the page for ways to create symbols, tables, and lists in Markdown." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Title Block\n", "\n", "Date: \n", "
\n", "Group Number:\n", "\n", "Author:\n", "
\n", "Partner 1:\n", "
\n", "Partner 2:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Abstract" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Type abstract here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Procedure\n", "\n", "## Overview\n", "\n", "We will be using the one-dimensional kinematic formula you have seen in lecture for the final position $y_f$ of an object falling under the influence of gravity \n", "\n", "$$y_f = y_0 + v_{0y}t + \\frac{1}{2}a_yt^2, $$\n", "\n", "where the symbols have their conventional meaning.\n", "\n", "Each team will make a single successful drop inside the lab and a\n", "single succesful drop outside the lab, from the top floor of the\n", "airline parking garage just east of the lab. The data files in each\n", "case will be automatically transferred to ipl.physics.smu.edu, and the\n", "appropriate plots, described below, will be automatically transferred\n", "to this jupyter notebook. You will determine the time-of-flight of the\n", "projectile from examining these plots.\n", "\n", "Each team will have its own \"apple\" to drop, a transparent plastic sphere with\n", "electronics inside it. See the figure. \n", "![](http://www.physics.smu.edu/devel/coan/images/apple.jpg) The TA or lab manager will\n", "give each team their own apple. The apple is named with a letter labeled on\n", "the side of it and that label is used in the name of the data file that stores\n", "their flight data. Remember your apple's name!\n", "\n", "\n", "\n", "The apple has a power switch on its top and a blue LED and an\n", "\"accelerometer\" inside. When the apple is turned on, the LED will\n", "blink several times and then glow steadily. Data is collected and\n", "transmitted ONLY when the LED us shining steadily. Hence, ONLY when\n", "the LED is shining steadily should the apple be dropped. Similarly,\n", "after the drop do NOT disturb the apple until the LED goes off. Once the\n", "LED is off, you are free to retrieve the apple. Your data is now on\n", "ipl.physics.smu.edu.\n", "\n", "The accelerometer is the device inside the apple that determines the\n", "time-of-flight of the apple. It is similar to the device inside\n", "your smartphone or tablet that determines the orientation of\n", "either. This is explained more in a PHYS 1106 lab \"Capacitance.\"\n", "\n", "Only one apple can be\n", "dropped at a time. Otherwise, data from two different apples will get\n", "jumbled together. Hence, each team will need to take turns.\n", "\n", "# Short drop procedure\n", "\n", "A TA or the lab manager will set up the stand with a solenoid magnet and its power supply\n", "(PS) on one of the tables. See the figure. ![](http://www.physics.smu.edu/devel/coan/images/sol1.jpg) \n", "\n", "A cushion landing zone will be on the floor beneath the stand. See the figure. \n", "![](http://www.physics.smu.edu/devel/coan/images/land.jpg)\n", "\n", "\n", "Turn on\n", "the power switch on the PS and attach the apple's handle to the\n", "solenoid. Turn on the power switch to the apple. Wait for the LED to\n", "stop blinkinmg and to shine steadily. Turn off the power on the\n", "PS. The apple will fall very soon after this and load on the\n", "cushion. __WAIT FOR THE LED TO GO OFF__. You can now perform the data\n", "analysis for this data. The next team should now perform their own\n", "drop until all teams have nade their individual drops." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Short Drop Plots - Samples\n" ] }, { "attachments": { "short_drop.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![short_drop.png](attachment:short_drop.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zoomed Data Plot: Short Drop - Sample" ] }, { "attachments": { "short_drop_zoomed.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![short_drop_zoomed.png](attachment:short_drop_zoomed.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Long Drop Procedure\n", "\n", "The long drop takes place from the North side of airline garage. The details\n", "are similar to the short drop procedures. The blue bean bag needs to\n", "be carried over to the NORTH side of the airline garage and\n", "as shown in the figure.\n", "![](http://www.physics.smu.edu/devel/coan/images/bb_small.jpg)\n", "Level the top of the bean bag as best you can and make sure it is pressed up against the wall. Compare its position\n", "to the nearby electrical conduit that exits the garage. The bag should be adjacent to\n", "the wall with no gaps. See the figure. ![](http://www.physics.smu.edu/devel/coan/images/bb_side.jpg) At least one team member should stay by the bean bag as the others go to the top floor of the garage.\n", "\n", "Team members should take their apple to the top most floor of the\n", "garage and walk to the north wall. Above the bean bag you will see a white\n", "expansion joint at the top of the wall. This is your marker for where\n", "to drop the apple. See the fig. ![](http://www.physics.smu.edu/devel/coan/images/seam-10p.jpg) To verify\n", "alignment of the mark with the bean bag, you will need to drop a\n", "tennis ball to verify it hits te center of the bean bag. That\n", "procedure to described in the next paragraph.\n", "\n", "To drop properly a tennis ball, find the expansion joint mentioned\n", "above and position your hand holding the tennis ball so that the\n", "nearest edge of the ball is ball is 6 inches from the outer wall\n", "edge. Measure it !! See the fig. ![](http://www.physics.smu.edu/devel/coan/images/ball6-30p.jpg) A TA or the lab manager will provide you with a\n", "measuring tool. You arm should also be level. Release the ball and\n", "see where it lands. The bottom team member should adjust the bean bag\n", "appropriately. The tennis ball drop should be repeated to verify the\n", "alignment.\n", "\n", "To drop the apple, you position it as you did for the tennis ball,\n", "TURN ON the apple, wait for the LED to shine steadily, and then\n", "release. __THE BOTTOM TEAM MEMBER SHOULD NOT TOUCH THE BALL UNTIL THE\n", "LED GOES OUT__. Do __NOT__ disturb the apple __until the blue LED is\n", "extinguished__, signaling the data has been transferred to the computer\n", "inside the lab. Once the the LED is extinguished, the apple can be\n", "retrieved and the next team can drop its apple. Once your data is\n", "transmitted, return to the lab to complete the analysis.\n", "\n", "If you are the last team to drop an apple, you need to retrieve the bean bag\n", "and the tape measure. The TA and/or the lab manager will collect the raspberry pi and the extension cords." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Long Drop Plots - Samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zoomed Data Plot: Long Drop" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis\n", "\n", "You need to determine the flight time of each type of drop. This is dtermined from the plots above, where each figure shows a plot of a \"count\", a number proportional to the acceleration, versus time. Since we are interested in the fall time, we look at the duration of the first\n", "flat step-down portion of the plots. The leading falling edge us slightly rounded before it becomes flat and then has a sharp upturn at the end of flught as the ball begins to bounce. The time on the horizontal axis is measured in milliseconds but we will need the time in **seconds**. Make sure you know how to convert one to the other. We presume to know the time of flight to 1 part in 1000, use this to determine uncertainty in time of flight." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the free fall acceleration and its propagated error $g \\pm \\Delta g$ for **each** type of drop." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Are your free fall accelerations in agreement with the standard value $9.8\\,{\\mathrm{m/s^2}} \\pm\n", "0.01\\,{\\mathrm {m/s^2}}$ (that is, do the error ranges overlap)? See *Taylor* page 5 if you are confused." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Sources of Error \n", "Two random and two systematic with explainations for each type of drop. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }