# Macroscopic and Microscopic Springs Procedure

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1 Mrosopi nd Mirosopi Springs Proedure OBJECTIVE Purpose In this l you will: investigte the spring-like properties of stright wire, disover the strethiness of mteril, independent of the size nd shpe of n ojet, relte mrosopi strethiness of mteril to mirosopi stiffness of the intertomi onds. Some useful equtions nd onstnts re given here 1. Questions to Explore 1 Is solid metl, stright wire like spring? If so, in wht wys? If you onsider the wire to e spring, how does spring stiffness ompre to the oiled springs used in the previous l? 2 How n one express the spring-like properties of the prtiulr metl in wy tht is independent of the size, shpe, nd physil dimensions of the wire (Young s modulus)? 3 How n one relte the mrosopi spring-like properties of the prtiulr metl to the stiffness of tht metl s intertomi onds (intertomi spring stiffness). EQUIPMENT stright metl wire strethed on frme, with hnger for weights millimeter sle for determining the position of the end of the wire Vernier liper (for how to red see the Mesuring with Vernier Clipers setion elow) PROCEDURE Plese print the worksheet for this l. You will need this sheet to reord your dt. Experimentl Setup Reording Dt 1 Right lik on the Exel R file youngs modulus.xls 2, nd sve it to My Douments. Doulelik the file to open it in Exel R. 1 Useful Equtions nd Constnts.pdf 2 youngs modulus xls 2013 Advned Instrutionl Systems, In. nd North Crolin Stte University 1

2 2 You should see disply tht inludes ples for your group informtion, mesured vlues, nd lulted vlues, s well s spe for your grph. 3 You will reord ll of your dt nd nlysis on the Exel R sheet nd sumit it to WeAssign to e grded y your TA. Mesuring with Vernier Clipers In this lortory exerise, you will e using Vernier liper, whih is omprised of two teeth, one tthed to fixed sle nd the other tthed to sliding (Vernier) sle. In order to mesure n ojet s width, the ojet is simply pled etween the liper s two teeth. The sliding tooth is then moved until the ojet is pressed tightly etween the teeth. Using oth sles, the width n e red to the nerest m (or 0.05 mm). The sles re red s follows (refer to the figure). Figure 1: Vernier Clipers 4 Find where the 0 mrk of the sliding sle lines up on the fixed sle. In this se, it is just pst the 5.3 m mrk. So, the first reding is 5.3 m. 5 Find the mrk on the sliding sle tht most losely lines up with one of the mrks on the fixed sle. Here, 5.0 nd 6.0 re very lose, ut 5.5 lines up est with one of the mrks on the fixed sle. This vlue is the numer of hundredths of entimeters (or tenths of millimeters). So, the seond reding is m. 6 Add the two vlues together to get the totl reding: 5.3 m m = m. To get more prtie reding lipers, visit this wesite 3 whih hs n intertive Jv pplet. At this wesite, the lel on the sliding sle is misleding. The sle is leled mm, whih leds the user to think tht the numers on tht sle represent millimeters. This is NOT orret. As desried ove, the numers on the sliding sle represent tenths of millimeters Advned Instrutionl Systems, In. nd North Crolin Stte University 2

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