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Physics I Lab Manual 2011 46 - this time draw all of the...

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EXPERIMENT 5. VECTOR ADDITION 1. Choose an appropriate scale for your diagram which will allow your diagram to be large yet fit on a single page. Then add your two original vectors using the tip-to- tail method as illustrated below. Since the balancing force ~ F b has an uncertainty in magnitude δF b and angle δθ you should draw an ellipse around the tip of vector ~ F b indicating the region of uncertainty. Within your experimental uncertainty, is the length of the vector sum of the forces ~ F 1 + ~ F 2 equal to the length of the balancing force vector, ~ F b , and oppositely directed to it? What is the percent error in the magnitude of the ~ F b compared to the magnitude of ~ F 1 + ~ F 2 2. Draw a new scale diagram of the vectors with the same scale factor as in step 1, but
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Unformatted text preview: this time draw all of the vectors separately (i.e. don’t draw them tip-to-tail) and draw the x- and y-components of each vector. Measure the length of the vector compo-nents. Since vector ~ F b has uncertainty the components must have a corresponding uncertainty as well. Record the component values in your data table and add up the vector components numerically. Is F 1 x + F 2 x =-F bx within the uncertainty δF bx ? Is F 1 y + F 2 y =-F by within the uncertainty δF by ? Figure 5.2: Force table setup and corresponding vector diagrams 36...
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