95 through 100 GO 95, 96, 99 Three-lens systems . In Fig. 34-49, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O , which is at object distance p 1 . Lens 2 is mounted within the middle boxed region, at distance d 12 from lens 1. Lens 3 is mounted in the farthest boxed region, at distance d 23 from lens 2. Each problem in Table 34-10 refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance i 3 for the (final) image produced by lens 3 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of lens 3 as object O or on the opposite side. p 1 Lens 1 d 12 Lens 2 d 23 Lens 3 (a) i 3 (b) M (c) R/V (d) I/NI (e) Side 95 +12 C, 8.0 28 C, 6.0 8.0 C, 6.0 Figure 34-49 Problems 95 through 100.
95 through 100 GO 95, 96, 99 Three-lens systems . In Fig. 34-49, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O , which is at object distance p 1 . Lens 2 is mounted within the middle boxed region, at distance d 12 from lens 1. Lens 3 is mounted in the farthest boxed region, at distance d 23 from lens 2. Each problem in Table 34-10 refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance i 3 for the (final) image produced by lens 3 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of lens 3 as object O or on the opposite side. p 1 Lens 1 d 12 Lens 2 d 23 Lens 3 (a) i 3 (b) M (c) R/V (d) I/NI (e) Side 95 +12 C, 8.0 28 C, 6.0 8.0 C, 6.0 Figure 34-49 Problems 95 through 100.
95 through 100 GO 95, 96, 99 Three-lens systems. In Fig. 34-49, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farthest boxed region, at distance d23 from lens 2. Each problem in Table 34-10 refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of the focal points (the proper sign of the focal distance is not indicated).
Find (a) the image distance i3 for the (final) image produced by lens 3 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of lens 3 as object O or on the opposite side.
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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Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
0.3
0.25
0.2
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a0+ a1*cos(x*w) +
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Value
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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
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1.0473
0.9880
1.1066
2
8
10
t
12
14
16
18
20
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0.2671
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Harmonic Motion x vs. t
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fourier1
R-square
0.13345
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0.26712
296
Adj R-sq
0.12467
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0.030041
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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?
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