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Table 2A Mass of the crate= 50 kg Friction = ON Applied Sum of Force, Fapp (N) Forces, Fnet (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t Trial (s) 1 20.23 20.16 2 3 20.10 Average 20,16 1 13.67 2 13.53 3 13.51 Average 13.57 1 10.19 2 10.23 3 10.25 Average 10.22 1 8.13 2 8.19 3 8.07 Average 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 2 5.24 3 5.16 Average 5.20 1 3.94 2 4.24 3 3.93 Average 4.03 ........ 111 ▬▬▬ ▬▬▬ 11 73² Acceleration, a at 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 m ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 35.90 3 Average 35.95 1 2 3 Average 1 18.90 18.87 18.99 18.92 13.08 13.12 2 13.10 3 Average 13.1 1 9.93 10.10 9.84 3 Average 9.95 1 7.91 2 7.83 3 7.95 Average 7.89 1 6.54 6.77 6.62 3 Average 6.64 4.94 1 2 4.84 3 5.07 Average 4.95 L ELLLE! 2 ▬▬ LIELLL 2 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6.12 6.12 6.12 6,12 8.12 8.12 8.12 8.12 ae 1.1117 1.1120 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6,0222 8.0971 8.2644 7.8895 8.0836 .... % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044

Table 2A Mass of the crate= 50 kg Friction = ON Applied Sum of Force, Fapp (N) Forces, Fnet (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t Trial (s) 1 20.23 20.16 2 3 20.10 Average 20,16 1 13.67 2 13.53 3 13.51 Average 13.57 1 10.19 2 10.23 3 10.25 Average 10.22 1 8.13 2 8.19 3 8.07 Average 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 2 5.24 3 5.16 Average 5.20 1 3.94 2 4.24 3 3.93 Average 4.03 ........ 111 ▬▬▬ ▬▬▬ 11 73² Acceleration, a at 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 m ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 35.90 3 Average 35.95 1 2 3 Average 1 18.90 18.87 18.99 18.92 13.08 13.12 2 13.10 3 Average 13.1 1 9.93 10.10 9.84 3 Average 9.95 1 7.91 2 7.83 3 7.95 Average 7.89 1 6.54 6.77 6.62 3 Average 6.64 4.94 1 2 4.84 3 5.07 Average 4.95 L ELLLE! 2 ▬▬ LIELLL 2 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6.12 6.12 6.12 6,12 8.12 8.12 8.12 8.12 ae 1.1117 1.1120 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6,0222 8.0971 8.2644 7.8895 8.0836 .... % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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1. Based on your obtained results, discuss the effect of the presence of friction on the motion of the crate.
2. What is the slope of EACH graph? What do the SLOPES represent?

Table 2A Mass of the crate= 50 kg Friction = 0 N Sum of Applied Force, Fapp Forces, Fnet (N) (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t (s) 20.23 20.16 20.10 Average 20.16 13.67 13.53 3 13.51 Average 13.57 1 10.19 10.23 10.25 10.22 8.13 8.19 8.07 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 5.24 5.16 5.20 3.94 4.24 3.93 4.03 Trial 1 EL.LEO.L 2 3 1 2 ¶¯¯¯¯¯¯¯¯¯¯ 2 3 Average 1 2 3 Average LALELLLI 2 3 Average 1 2 3 Average Acceleration, a () at 2 2 2 2 3 3 3 3 late 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 3 35.90 Average 35.95 1 18.90 2 18.87 18.99 3 Average 1 18.92 2 13.08 13.12 13.10 13.1 3 Average 1 9.93 10.10 2 3 9.84 Average 9.95 7.91 1 2 3 Average 1 7.83 7.95 7.89 6.54 2 6.77 3 6.62 Average 6.64 1 4.94 2 4.84 5.07 3 Average 4.95 E 17 m ae 1.1117 1.1120. 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6.0222 8.0971 8.2644 7.8895 8.0836 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6,12 6.12 6.12 6.12 8.12 8.12 8.12 8.12 in in T % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044
Transcribed Image Text:Table 2A Mass of the crate= 50 kg Friction = 0 N Sum of Applied Force, Fapp Forces, Fnet (N) (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t (s) 20.23 20.16 20.10 Average 20.16 13.67 13.53 3 13.51 Average 13.57 1 10.19 10.23 10.25 10.22 8.13 8.19 8.07 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 5.24 5.16 5.20 3.94 4.24 3.93 4.03 Trial 1 EL.LEO.L 2 3 1 2 ¶¯¯¯¯¯¯¯¯¯¯ 2 3 Average 1 2 3 Average LALELLLI 2 3 Average 1 2 3 Average Acceleration, a () at 2 2 2 2 3 3 3 3 late 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 3 35.90 Average 35.95 1 18.90 2 18.87 18.99 3 Average 1 18.92 2 13.08 13.12 13.10 13.1 3 Average 1 9.93 10.10 2 3 9.84 Average 9.95 7.91 1 2 3 Average 1 7.83 7.95 7.89 6.54 2 6.77 3 6.62 Average 6.64 1 4.94 2 4.84 5.07 3 Average 4.95 E 17 m ae 1.1117 1.1120. 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6.0222 8.0971 8.2644 7.8895 8.0836 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6,12 6.12 6.12 6.12 8.12 8.12 8.12 8.12 in in T % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044
2. From Tables 2A and 2B, Table 2A (Without friction) 600 >500 400 300 200 100 0 Sum of forces (Fnet) y vs acceleration (a) x 4 6 8 10 acceleration (a) x Sum of forces (Fnet) y vs acceleration (a) x 0 1 2 3 4 5 6 7 8 9 acceleration (a) x Compare the two graphs. Both graphs form a straight line with a force that is directed properly net acceleration and acceleration that is directly proportional to the net force on the object. Or we can simply say that acceleration is non zero if net force is zero Sum of forces (Fneto y 0 2 Table 2B (With friction) 450 400 350 300 250 200 150 100 50 Sum of forces (Fnet) y 0 12
Transcribed Image Text:2. From Tables 2A and 2B, Table 2A (Without friction) 600 >500 400 300 200 100 0 Sum of forces (Fnet) y vs acceleration (a) x 4 6 8 10 acceleration (a) x Sum of forces (Fnet) y vs acceleration (a) x 0 1 2 3 4 5 6 7 8 9 acceleration (a) x Compare the two graphs. Both graphs form a straight line with a force that is directed properly net acceleration and acceleration that is directly proportional to the net force on the object. Or we can simply say that acceleration is non zero if net force is zero Sum of forces (Fneto y 0 2 Table 2B (With friction) 450 400 350 300 250 200 150 100 50 Sum of forces (Fnet) y 0 12
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