Lab 2: Polygon of Forces Objective The object of this experiment is to test that when four or more forces are in equilib
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Lab 2: Polygon of Forces Objective The object of this experiment is to test that when four or more forces are in equilib
experimental data is down which arenthe three tables down
please solve it as you wish but correctly because we did not do the experiment because of covid but they upload this data for us as experimental reading
Lab 2: Polygon of Forces Objective The object of this experiment is to test that when four or more forces are in equilibrium at a point, they can be represented by a Polygon of Forces from which unknown forces can be found. Description In the design of pin-jointed plane structures such as girders, bridges and roof trusses (see Fig. 1) it is necessary to find the forces acting in each member so that the frame can be made strong enough to withstand the maximum loads exerted upon it. The Polygon of forces is turn. This experiment could be regarded as one such joint on a structure, and it will be shown that in a system containing four or more forces, two unknowns can be found in magnitude or direction if the remaining information is known. The Polygon of Forces is an extension of the Triangle of Forces. Apparatus The apparatus consist of the following: • Diagram Board • Short Screws • Pulleys. • Knurled Nuts. • Weight Hooks. • Set of Weights. • Ring with Three Cords attached Some sheets of plain paper Paper Sheet Board Weight
Procedure TEST A. 1. Secure the mounting panel in the vertical position 2. Mount the diagram board vertically and secure with screws and nuts through holes. 3. Mount the four pulleys. 4. Clip a sheet of paper to the board and assemble with cords and weight hook. 5. Add weights to give on the hook as shown in fig. 1 6. The fifth cord (required only in Test B) can be allowed to hand freely and will not affect Test A results. 7. Gently cause the system to "bounce" by jogging the free cord and letting it settle freely in its equilibrium position. 8. Then mark the position of the Four Cords with pencil dots on the paper. Remove the paper. 9. Join up the dots representing the cords, and write in the weight supported by each cord. TEST B 1. Keeping the weights and pulleys as in Test (A), attach a weight hanger to the fifth cord, let it hang directly from the ring. 2. Once again, "bounce" the system of jogging the centre weight only, and allow the ring to settle in its new equilibrium position 3. Then mark the positions of the five cords and write in the corresponding weights. Observations and Data S=W4 T=W5 0 0 0 04 os P = W1 = W2 R=W3 in grams in grams in grams in grams in grams
Results/Calculations/Plots RESULTS 'A': On your diagram sheet for Test (A), mark the spaces between the cord lines with the letters P. Q. Rand S to give the space Diagram (Fig. 2). In a convenient space draw a Force Diagram on the same sheet by first drawing scale lengths "ab" and "bc" to represent the forces WI and W2 (Fig. 3). Then though and "a" draw lines parallel to the directions of W3 and W4 to meet at "d". The figure "abcd" is the force diagram, or Polygon of Forces, for the four forces WI, W2, W3 and 14. Measure The lengths "cd and "da". These should be equivalent to the corresponding forces W3 and W4. Check this. This method of lettering and constructing the Force diagram is called Bows Notation. Notice that the arrows in the force diagram agree with direction indicated in space diagram. Notice also that the arrows follow one another round the force diagram, covering the whole circuit. w W2 i P w4 W1 Figure 2: Space Diagram Figure 3: Force Diagram
Mass (g) 160 g 100 g 1908 Angel (") 270" 170" 55° Mass (g) 160 g 1008 150 g 110 Angel (*) 190 270" 75° 0° Mass (8) 180 g 120 g 90 g 150 g 1308 Angel (*) 270" 190" 130" 70" 0°