A hard rubber ball, not affected by air resistance in its motion. is tossed upward from shoulder height, falls to the sidewalk, rebounds to a smaller maximum height, and is caught on its way down again. This motion is represented in Figure OQ2.17, where the successive positions of the ball Ⓐ through Ⓔ are not equally spaced in lime. At point Ⓓ the center of the ball is at its lowest point in the motion. The motion of the ball is along a straight, vertical line, but the diagram shows successive positions offset to the right to avoid overlapping. Choose the positive y direction to be upward. (a) Rank the situations Ⓐ through Ⓔ according to the speed of the ball |ν Y l at each point, with the largest speed first, (b) Rank the same situations according to the acceleration a% of the ball at each point. (In both rankings, remember that zero is greater than a negative value. If two values are equal, show that they are equal in your ranking.)
A hard rubber ball, not affected by air resistance in its motion. is tossed upward from shoulder height, falls to the sidewalk, rebounds to a smaller maximum height, and is caught on its way down again. This motion is represented in Figure OQ2.17, where the successive positions of the ball Ⓐ through Ⓔ are not equally spaced in lime. At point Ⓓ the center of the ball is at its lowest point in the motion. The motion of the ball is along a straight, vertical line, but the diagram shows successive positions offset to the right to avoid overlapping. Choose the positive y direction to be upward. (a) Rank the situations Ⓐ through Ⓔ according to the speed of the ball |ν Y l at each point, with the largest speed first, (b) Rank the same situations according to the acceleration a% of the ball at each point. (In both rankings, remember that zero is greater than a negative value. If two values are equal, show that they are equal in your ranking.)
A hard rubber ball, not affected by air resistance in its motion. is tossed upward from shoulder height, falls to the sidewalk, rebounds to a smaller maximum height, and is caught on its way down again. This motion is represented in Figure OQ2.17, where the successive positions of the ball Ⓐ through Ⓔ are not equally spaced in lime. At point Ⓓ the center of the ball is at its lowest point in the motion. The motion of the ball is along a straight, vertical line, but the diagram shows successive positions offset to the right to avoid overlapping. Choose the positive y direction to be upward. (a) Rank the situations Ⓐ through Ⓔ according to the speed of the ball |νYl at each point, with the largest speed first, (b) Rank the same situations according to the acceleration a% of the ball at each point. (In both rankings, remember that zero is greater than a negative value. If two values are equal, show that they are equal in your ranking.)
a)
What is the minimum tension in N that the cable must be able to support without breaking? Assume the cable is massless.
T =
b)
If the cable can only support a tension of 10,000 N what is the highest mass the ball can have in kg?
mm =
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FIT TYPE
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Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
0.3
0.25
0.2
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Plot Prediction Bounds None
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COA Fourier
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x vs. t
-Harmonic Motion
a0+ a1*cos(x*w) +
b1*sin(x*w)
Number of terms
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1
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Value
Lower
Upper
0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
W
1.0473
0.9880
1.1066
2
8
10
t
12
14
16
18
20
Goodness of Fit
Value
Table of Fits
SSE
0.2671
Fit State Fit name
Data
Harmonic Motion x vs. t
Fit type
fourier1
R-square
0.13345
SSE
DFE
0.26712
296
Adj R-sq
0.12467
RMSE
0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
General, Organic, and Biological Chemistry - 4th edition
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