Answer Happy

FIRST ASSIGNMENT: PHYSICS 12 Data Analysis: To analyze the forces acting on a single point you need to calculate their horizontal and vertical components. This will involve creating vector triangles as shown in this example. Since the system is in static equilibrium: the sum of the horizontal components should be zero because the ring is not accelerating horizontally; the sum of the vertical components is also zero because the ring is not accelerating vertically. Examine the table to the right, below the diagram. Notice the sums may not quite equal zero (e.g., the sum of the horizontal components in this example is equal to -0.3 N). The magnitude of each sum can be expressed as a % of the average magnitude of the three forces used, shown in the calculations below: horizontal: (6.2+59+0) N/3=4.03 N (0.3 N)/(4.03 N) = 7% (10.6 3.4+14.0) N/3=93 N (0.0 N)/(9.3 N) = 0% vertical: 18 AN F₁ F₂ F₁ sum 63 N MEN (4) 140 N FAN 40 72 (L) horizontal -6.2 N 5.9 N 0.0 N -0.3 N 34N vertical -10.6 N -3.4 N 14.0 N 0.0 N This will give you the percent error for each of the horizontal and vertical components. Procedures: 1. Print off the previous data page and for each trial, label each of the three forces F₁, F2 and Fs. For consistency, label the upward force F₁, the next force in clockwise rotation F2 and the third force F₁. 2. Using your protractor, measure the angles each force makes with the horizontal (x) or vertical (y) axis. Record these angles directly on the data page. 3. Use trigonometry to find the horizontal and vertical components of each force and record in the data tables. If you are unsure how to do this, refer to the Physics 12 FA Reading 1 document Show all work on the data page. NOTE: for the purposes of this lab, 'up' and 'right' are positive, while 'down' and 'left' are negative. 4. Calculate the sum of the horizontal and vertical components and determine % errors.
Trial #1 FIRST ASSIGNMENT: PHYSICS 12 Trial #2 Percentage of average magnitude of components Force F₁ F₂ Trial #3 F₁ Sum Trial #4 Force F₁ F₂ Percentage of average magnitude of components F₁ Sum Force F₁ F₂ F₁ Sum Percentage of average magnitude of components Force F₁ F₂ F₁ Sum Percentage of average magnitude of components Horizontal Horizontal Horizontal Horizontal Vertical Vertical Vertical Vertical 20 marks include data page!
Trial #3 150 N 16.0 N 15.5 N
Trial #4 7.5 N 13.0 N 7.5 N