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3. For each of the following experiments use the method of components to analytically add the two vectors to find the x and y components of the resultant. Draw a sketch of the vectors and use the "head-to-tail" method in order to add the vectors graphically. Vector addition 1 Arrange one force vector with magnitude F1 = 200 g-N at 30o. The equilibrant will be F2 = 200 g-N at 210 o on the force table. Don't forget to include the weight of the hangers. Find the x- and y-components of the equilibrant experimentally. Then determine the x- and y-components of the resultant. Vector addition 2 Arrange two force vectors with magnitudes F1 = 200g-N at 30o and F2 = 200 g-N at 330o. Experimentally determine the magnitude and direction of a third force (F3) that will keep the ring stationary. F3 is the equilibrant of F1+ F2. The resultant is at 180º from the eqilibrarant. The x-component of F1+ F2 is -F3 . The y-component of F1+ F2 is 0. Vector addition 3 Arrange two force vectors F1 = 200 g-N at 0o and F2 = 400 g-N at 90o. Experimentally determine the magnitude and direction of a third vector (F3) that will keep the ring stationary. F3 is the equilibrant of F1and F2. You might also consider F1and F2 to be the components of the equilibrant of F3 or the components of the resulant of F1+ F2. Vector addition 4 Arrange three force vectors F1 = 200 g-N at 0o, F2 = 300 g-N at 45o and F3 = 400 g-N at 225o. Experimentally determine the magnitude and direction of a fourth vector (F4) that will keep the ring stationary. After you determine F4 ( the equilibrant of F1+ F2+ F3), experimenatally determine the components of the resultant by removing F1, F2 and F3 and adding masses along the x- and y-axes. Vector addition 5 Arrange three different force vectors of different magnitudes at random angles so that the ring remains stationary. No two forces should form a right angle between them. (For example, you might hang 300g at 10° and 400g at 300°.) 4. Calculate the average of the absolute values of the ten residuals. (For example, Residual = |experimentally measured value of x-component - calculated value of x-component|)  

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a) Graphical. Use the polygon method.
b) Analytical. Use the component method.
c) Experimental. Use the force table.

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