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Chapter7 Magnetic Force Equipmentt Your equipment will include 5 tiny masses. For each mass that is lost, your group will lose 20% of the credit for this weeks report. Learning Objectives In this weeks activity, you will investigate the behavior of a permanent magnet in the presence of an ex- ternal magnetic field, created by a current, model and measure how the magnetic force changes as a function of dis- tance from a single coil, . determine the dipole moment of a permanent magnet by examining the force it experiences in an anti-Helmholtz configuration. 7.1 Pre-lab Last semester, you studied Hookes law, which can be used to model the force exerted by a spring on a hanging mass m. Examine Figure 7.1. Figure 7.1 - The spring is fixed at one end. The other end is free to move. A mass m hangs from the free end of the spring
60 CHAPTER7. MAGNETIC FORCE [7.1] Question: Use your resources to help you answer these questions. Your mechanics text and your mechanics lab manual may be useful. Assume that the spring system is set up near the surface of the Earth. 1. Draw a free-body diagram showing the forces on the hanging mass m 2. From your previous knowledge, write the equation for the force exerted 3. Assuming that the hanging mass is stationary, what is the net force on 4. Set as the position of the hanging mass under these conditions pictured above. on m by the spring m? 5. Now, add another downward force, Fa. to the system. This force could be generated by anything: a hand pulling down on the hanging mass, or a rope palling down on the hanging mass, or even the gravitational force of an additional mass added to the system. For now, ignore the cause of the additional downward force. Draw a free-body diagram showing the forces on the hanging mass, including the new F 6. Assume that the hanging mass, under the influence of all the forces you mentioned in Step 5, is stationary. Write an equation for the net force on m. For this equation, the initial position of the spring should be the xe that you set in Step 4. 7. Solve the equation from Step 6 for Fz. Again, dont worry about what is causing F: at this point (just leave it as Fe in your equation). [7.2] Question: Assume that you have a spring, a hanging mass that will remain fixed on the spring throughout the experiment, and five small masses that can be added to the hanging mass. Using your resources and your experience from last semester, describe an experiment for determining the spring constant of the spring. Your answers to Question 7.1 may be helpful. Include a note on the number of measurements you should take. Include any relevant equations that you will use to find k. laboratory Manual
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71 ) he fure shoe the fre-bodly diagram of the mess 2) The ejuahion of he force on dueto pring magnitode in the Spring 1 r ce 3) The massitatior So the net force on mass Ta it is 3er Net force on m = ON he figure Ahows the free-body diegrem of the Agstem with the for f2 (teppears as f2 in mage) ce 6) The net force on mご using F kr。 on m

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