Calculate the theoretical acceleration of the lightest spherical object using Newton's second law. Then compare this to the averages when the distance relative to the ramp was 10, 20, and 30 cm using percent error calculations. (Include a free body diagram of the set-up in your solution)
Calculate the theoretical acceleration of the lightest spherical object using Newton's second law. Then compare this to the averages when the distance relative to the ramp was 10, 20, and 30 cm using percent error calculations. (Include a free body diagram of the set-up in your solution)
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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Calculate the theoretical acceleration of the lightest spherical object using Newton's second law. Then compare this to the averages when the distance relative to the ramp was 10, 20, and 30 cm using percent error calculations. (Include a free body diagram of the set-up in your solution)
Transcribed Image Text:SPEHRICAL OBECT 1 MASS (kg)
0.0022
SPEHRICAL OBECT 2 MASS (kg)
0.0031
SPEHRICAL OBECT 3 MASS (kg)
0.0053
SET-UP 1 AND 2 (LIGHTEST MASS AT DIFFERENT LENGTHS WITH CATCHERS 1 AND 2)
Time from top to end of ramp and
corresponding accelerations
Trials for 10 cm Catcher 1 Knock-
Trials for 20 cm
Catcher 1 Knock-
Trials for 30 cm
Catcher 1 Knock-
Configurations
Time 1
Time 2
Time 3
Ave.
ramp distance
back Distance
ramp distance
back Distance
ramp distance
back Distance
10 cm ramp distance
0.35
0.48
0.56
0.46
1
2
2
Calculated Acceleration
1.63
0.87
0.64
1.05
1
2
2
2
3
20 cm ramp distance
Calculated Acceleration
30 cm ramp distance
Calculated Acceleration
0.73
0.56
0.64
0.64
3
1
3
1
3
3
0.75
1.28
0.98
1
Ave.
1
Ave.
1.67
Ave.
2.67
0.81
0.56
0.68
0.68
0.91
1.91
1.3
1.4
Catcher 2 Knock-
Catcher 2 Knock-
Catcher 2 Knock-
Trials for 10 cm back Distance
Trials for 20 cm
back Distance
Trials for 30 cm
back Distance
ramp distance
(cm)
ramp distance
(cm)
ramp distance
(cm)
rce calculation 10 cm ramp distar 0.00231
rce calculation 20 cm ramp distar 0.0031
rce calculation 30 cm ramp distar 0.00742
1
1
0.7
1
3.1
2
0.6
2
3.3
3
3
0.4
3
2
Ave.
Ave.
0.57
Ave.
2.8
SET-UP 3 & 4 (2 OTHER SPHERICAL OBJECTS WITH CATCHER 1 AT 10 CM)
SHPERICAL
lOBJECT NO.
SHPERICAL
2
ОBJЕCT NO.
3
Catcher 1 Knock-
Catcher 1 Knock-
Trials for 10 cm back Distance
Trials for 10 cm
back Distance
ramp distance
(cm)
ramp distance
(cm)
1
2
1.3
2.
0.6
2
1.5
3
2
3
1
Ave.
1.53
Ave.
1.27
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