Lab 4
kaleah
2 years ago
10
files (5)Phyexp4forcetablePowerPoint.pdf
Report4.docx
Phyexp4dataandinstructions.pdf
- Phymeasurementgraph.pdf
- Exp4_questions.pdf
Phyexp4forcetablePowerPoint.pdf
Scalars and Vectors
Scalars: Have only magnitude. Are added algebraically. Examples: temperature, mass
Vectors: Have magnitude and direction. Are added through the triangle law. Examples: velocity, force
NOTE: Vectors can be moved around in space as long as their magnitude (length) and direction remain unchanged. This property is utilized when adding vectors.
Methods for adding vectors
Graphical method: Parallelogram method Triangle method Polygon method
Analytic method: Through breaking the vectors into → components
Experimental method: By using the → force table
Parallelogram method (graphical)
Place the two vectors,⃗A andB⃗ to be added with their tails touching to form a vertex of a parallelogram, with the vectors as two of its adjacent sides.
Complete the other two sides of the parallelogram.
The diagonal drawn joining the initial vertex to its opposite vertex gives the resultant vector ⃗R= A⃗ + B⃗ , as shown in the diagram.
Analytic method
Experimental method: force table
Hang specific masses with strings from a ring , at specific angles from a force table. The tensions in the strings due to hanging masses act as our vectors.
Add masses with another string on the ring. Adjust mass and angle of this one in such that it centers ring at the peg at the center of force table. The force balances the resultant of the other forces, and is the exact opposite of the resultant force in direction, and exactly equal to resultant force in magnitude.
End of Theory
Report4.docx
Experiment 4:
Student name:
Pre-lab section:
1) Introduction: Explain the theory behind this experiment in a paragraph between 150 and 250 words. (2 Points)
Suppose you are using external resources; include the reference. It would be best if you had any relevant formulas and explanations of each term. You may use the rich formula tools embedded here.
2) Hypothesis: In an If /Then statement, highlight the purpose of the experiment.
For instance: If two same shape objects with different masses are dropped from the same height, they will hit the ground simultaneously. (1 points)
Post-lab section:
3) Attach an image of your signed data sheet here. (2 Points)
4) Attach your analysis here, including any table, chart, or plot image. (7.5 points)
Table 1 (1 point) and its associated plot (1.5 points)
Table 2 (1 point) and its associated plot (1.5 points)
Table 3 (1 point) and its associated plot (1.5 points)
The following picture shows how we expect the plots to look.
5) Attach the image of samples of your calculation here. (1 points)
6) In a paragraph between 100 and 150 words, explain what you Learn. What conclusion can you draw from the results of this lab assignment? (2 points)
7) In one sentence, compare the results of the experiment with your Hypothesis. Why? (1 point)
8) Attach your response to the questions in the lab manual here. (3.5 points)
Question 1: 1 point for each part, 0.5 points
Question 2: 0.5 points
Question 3: 0.5 points
Question 4: 0.5 points
Question 5: 1 point
image1.png
Phyexp4dataandinstructions.pdf
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Instructions for data analysis and lab report
1. Notation used in all the three measurements in Exp 4
(a) In all the three measurements, each force is produced by a hanging mass on which the
value of the mass is labeled in units of g (gram) rather than kg.
(b) The meaning of the notations used in the three measurements, for example,
1 :F 200 g at 30.00 means that 1F is produced by a hanging mass of 200 g at 30.00,
the magnitude of 1F is: 2
1 1 0.200( ) 10.0( / ) 2.00F F m g kg m s N= = = =
Attention: Here we take the value of gravitational acceleration 210.0 /g m s rather
than 29.80 /m s in order to make a scale easier on the graphic sheet. As shown in the Exp
4 video we use a scale of 2 cm for 1 N on the graphic sheet when we use the graphic
method to do vector sum.
The angle of 1
0 30.0
F = is read directly from the circular scale on the force table (Fig. 4 in
the lab manual) at which the string is directly above it.
2. Instruction on data analysis
(a) Calculate 1 2&F F for measurement #1, calculate 1 2 3, ,F F F for measurements #2 & #3.
Record all the calculated force values under the caption of each corresponding Table.
(b) Note: the relation between the resultant force R and equilibrant force E is:
.R E and R R E E= − = = =
(c) Use graphical (parallelogram) method to determine the resultant force R
• Draw a vector sum diagram (with ruler, protractor, compass) to scale on a graph sheet.
(Note: graphic sheets are provided at the end of Exp 4 lab manual).
• Measure the magnitude R and the orientation angle R
of the resultant force R .
• An example is given in Exp 4 video in which we use a scale of 2 cm for 1N on the
graphic sheet.
• Record the magnitudes ( & )R E and orientation angles ( & ) R E in the row
“Graphic result” of each Table.
(d) Use analytical method to determine the resultant force R .
• Using component method (Fig. 3) compute the magnitude R and the orientation
angle R
of the resultant force R .
• Record the magnitudes ( & )R E and orientation angles ( & ) R E in the row
“Analytical result” of each Table.
3. Instructions for lab report
(a) Tables 1 to 3 with all the analyzed data must be included in your Exp 4 lab report.
(b) The drawing of the vector sum diagram must be included in your Exp 4 lab report.
(c) The drawing of the component diagram must be included in your Exp 4 lab report.
(Take a photo of the diagram, copy the JPG file & paste it on a word page and edit it,
then save the word file to a pdf file which will be a part of your Exp 4 lab report).
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(d) Answers to the 5 questions at the end of Exp 4 lab manual must be included in your Exp 4 report.
(e) Other required contents and format for your lab report can be found in the syllabus.
Table 1 Results of Measurement #1: 1 :F 200 g at 30.00; 2 :F 200 g at 120.00.
Calculate: 1 1 2 2,F F N F F N= = = =
RR = (N)
Resultant force
R EE = (N)
Balance force
E
Graphical result
Analytical result
Table 2 Results of Measurement #2: 1 :F 150 g at 30.00; 2 :F 150 g at 150.00; 3 :F 150 g at 180
Calculate: 1 1 2 2 3 3, , .F F N F F N F F N= = = = = =
RR = (N)
Resultant force
R EE = (N)
Balance force
E
Graphical result
Analytical result
Table 3 Results of Measurement #3: 1 :F 250 g at 30.00; 2F : 200 g at 120.00; 3 :F 150 g at 180.0
Calculate: 1 1 2 2 3 3, , .F F N F F N F F N= = = = = =
RR = (N)
Resultant force
R EE = (N)
Balance force
E
Graphical result
Analytical result
