Find the sum of two ‘forces’: 100 g at 30º and 200 g at 120º, by:

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter4: Dynamics: Force And Newton's Laws Of Motion
Section: Chapter Questions
Problem 30PE: (a) Find the magnitudes of the forces F1 and F2 that add to give the total force Ftot shown in...
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  • VECTOR ADDITION: Find the sum of two ‘forces’: 100 g at 30º and 200 g at 120º, by:
  1. A) Graphical Method: Make the X- and Y-axes. Use a scale of 25 g = 1.0 cm. Draw arrows of appropriate lengths at 30º and 120º, both starting from the origin. Add them using the Parallelogram method. Measure the length and angle of the resultant. Convert length to magnitude of the resultant vector using the scale used to draw the vectors. Record the results in the Data Table.
  2. B) Analytical Method: Compute the sum of the two vectors by using the Component Method (Ax = A cosθ and Ay = A sinθ ) as well as the Triangle Method (A/Sin α = B / Sin β = C / Sin γ and C2 = A2 + B2 – 2AB Cos γ). Record the results in the Data Table.
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