PEGAS KECILpenambahan

M (kg) W (N) X (m) K (N/m)0.105 1.05 0.18

0.1669 1.669 0.231 0.619 0.051 12.140.2269 2.269 0.28 1.219 0.1 12.190.2908 2.908 0.333 1.858 0.153 12.140.3504 3.504 0.383 2.454 0.203 12.09

pengurangan0.105 1.05 0.181

0.1669 1.669 0.232 0.619 0.051 12.140.2269 2.269 0.282 1.219 0.101 12.070.2908 2.908 0.334 1.858 0.153 12.140.3504 3.504 0.383 2.454 0.202 12.15

RATA2 12.13

DW (N) DX (m)

PEGAS BESARpenambahan

M (kg) W (n) X (m) K (N/m)0.105 1.05 0.245

0.1669 1.669 0.327 0.619 0.082 7.550.2269 2.269 0.411 1.219 0.166 7.340.2908 2.908 0.498 1.858 0.253 7.340.3504 3.504 0.578 2.454 0.333 7.37

pengurangan0.105 1.05 0.247

0.1669 1.669 0.33 0.619 0.083 7.460.2269 2.269 0.41 1.219 0.163 7.480.2908 2.908 0.495 1.858 0.248 7.490.3504 3.504 0.578 2.454 0.331 7.41

7.43

DW (N) DX (m)

SIMPANGAN = 5 CM SIMPANGAN = 7 CMPEGAS KECIL PEGAS KECIL

M (gr) M (kg) t (s) T (s) K (N/m) M (gr) M (kg)105 0.105 8.78 0.585333 12.09 105 0.105105 0.105 8.8 0.586667 12.03 105 0.105105 0.105 8.84 0.589333 11.92 105 0.105105 0.105 8.8 0.586667 12.03 105 0.105105 0.105 8.87 0.591333 11.84 11.98 105 0.105

166.9 0.1669 11.31 0.754 11.58 166.9 0.1669166.9 0.1669 11.29 0.752667 11.62 166.9 0.1669166.9 0.1669 11.24 0.749333 11.72 166.9 0.1669166.9 0.1669 11.28 0.752 11.64 166.9 0.1669166.9 0.1669 11.29 0.752667 11.62 11.64 166.9 0.1669168.9 0.1689 11.43 0.762 11.47 168.9 0.1689168.9 0.1689 11.46 0.764 11.41 168.9 0.1689168.9 0.1689 11.39 0.759333 11.55 168.9 0.1689168.9 0.1689 11.42 0.761333 11.49 168.9 0.1689168.9 0.1689 11.48 0.765333 11.37 11.46 168.9 0.1689226.9 0.2269 13.17 0.878 11.61 226.9 0.2269226.9 0.2269 13.23 0.882 11.50 226.9 0.2269226.9 0.2269 13.24 0.882667 11.49 226.9 0.2269226.9 0.2269 13.26 0.884 11.45 226.9 0.2269226.9 0.2269 13.27 0.884667 11.43 11.50 226.9 0.2269224.6 0.2246 13.17 0.878 11.49 224.6 0.2246224.6 0.2246 13.23 0.882 11.39 224.6 0.2246224.6 0.2246 13.24 0.882667 11.37 224.6 0.2246224.6 0.2246 13.31 0.887333 11.25 224.6 0.2246224.6 0.2246 13.23 0.882 11.39 11.38 224.6 0.2246

RATA2 11.59

SIMPANGAN = 5 CMPEGAS KECIL PEGAS BESAR

t (s) T (s) K (N/m) M (gr) M (kg) t (s) T (s)8.75 0.583333 12.17 105 0.105 12.1 0.8066678.87 0.591333 11.84 105 0.105 12.07 0.8046678.78 0.585333 12.09 105 0.105 12.07 0.8046678.73 0.582 12.23 105 0.105 12.09 0.8068.86 0.590667 11.87 12.04 105 0.105 12.04 0.802667

11.34 0.756 11.52 166.9 0.1669 14.72 0.98133311.4 0.76 11.40 166.9 0.1669 14.73 0.98211.4 0.76 11.40 166.9 0.1669 14.81 0.987333

11.37 0.758 11.46 166.9 0.1669 14.78 0.98533311.32 0.754667 11.56 11.46 166.9 0.1669 14.68 0.97866711.43 0.762 11.47 168.9 0.1689 15.16 1.01066711.51 0.767333 11.31 168.9 0.1689 15.07 1.00466711.54 0.769333 11.25 168.9 0.1689 15.09 1.00611.56 0.770667 11.22 168.9 0.1689 15.15 1.0111.54 0.769333 11.25 11.30 168.9 0.1689 14.97 0.99813.17 0.878 11.61 226.9 0.2269 17.1 1.1413.17 0.878 11.61 226.9 0.2269 17 1.13333313.31 0.887333 11.37 226.9 0.2269 16.98 1.13213.26 0.884 11.45 226.9 0.2269 16.98 1.13213.18 0.878667 11.59 11.52 226.9 0.2269 16.89 1.12613.21 0.880667 11.42 224.6 0.2246 16.87 1.12466713.17 0.878 11.49 224.6 0.2246 16.85 1.12333313.32 0.888 11.23 224.6 0.2246 16.84 1.12266713.18 0.878667 11.47 224.6 0.2246 16.9 1.12666713.26 0.884 11.34 11.39 224.6 0.2246 16.87 1.124667

11.54 RATA2

SIMPANGAN = 7 CMPEGAS BESAR PEGAS BESAR

K (N/m) M (gr) M (kg) t (s) T (s) K (N/m)6.36 105 0.105 12.01 0.800667 6.466.40 105 0.105 12.1 0.806667 6.366.40 105 0.105 12.14 0.809333 6.326.37 105 0.105 12.14 0.809333 6.326.43 6.39 105 0.105 12.14 0.809333 6.32 6.366.84 166.9 0.1669 14.7 0.98 6.856.83 166.9 0.1669 14.76 0.984 6.806.75 166.9 0.1669 14.7 0.98 6.856.78 166.9 0.1669 14.75 0.983333 6.816.87 6.81 166.9 0.1669 14.68 0.978667 6.87 6.846.52 168.9 0.1689 15.16 1.010667 6.526.60 168.9 0.1689 15.09 1.006 6.586.58 168.9 0.1689 15.16 1.010667 6.526.53 168.9 0.1689 15.06 1.004 6.616.69 6.58 168.9 0.1689 15.19 1.012667 6.50 6.556.89 226.9 0.2269 17 1.133333 6.976.97 226.9 0.2269 16.95 1.13 7.016.98 226.9 0.2269 17 1.133333 6.976.98 226.9 0.2269 17.02 1.134667 6.957.06 6.98 226.9 0.2269 16.95 1.13 7.01 6.987.00 224.6 0.2246 16.98 1.132 6.917.02 224.6 0.2246 17.01 1.134 6.897.03 224.6 0.2246 16.92 1.128 6.966.98 224.6 0.2246 16.98 1.132 6.917.00 7.01 224.6 0.2246 16.93 1.128667 6.95 6.936.75 6.73

GRAFIK PEGAS KECIL - PENAMBAHANsimpangan (m) (x) W (y) xy

0.18 1.05 0.1890.231 1.669 0.386

0.28 2.269 0.6350.333 2.908 0.9680.383 3.504 1.342

TOTAL 1.407 11.4 3.520

A BATAS 1.56 ATASBAWAH 0.13 BAWAHNILAI A 12.10 NILAI B

PERSAMAAN GRAFIK

A B X Y12.10 -1.1212.10 -1.12 0.1 0.0912.10 -1.12 0.2 1.3012.10 -1.12 0.3 2.5112.10 -1.12 0.4 3.7212.10 -1.12 0.5 4.9312.10 -1.12 0.6 6.14

0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

gRAFIK W=f(x)

X (m)

W (

n)

GRAFIK PEGAS KECIL - PENAMBAHAN GRAFIK PEGAS KECIL - PENGURANGANx^2 simpangan (m) (x)

0.032 0.1810.053 0.2320.078 0.2820.111 0.3340.147 0.3830.422 TOTAL 1.412

A-5.62 ATAS 1.565.00 BAWAH 0.13

-1.12 NILAI A 12.15

PERSAMAAN GRAFIK

A B12.15 -1.1512.15 -1.1512.15 -1.1512.15 -1.1512.15 -1.1512.15 -1.1512.15 -1.15

0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

gRAFIK W=f(x)

X (m)

W (

n)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

gRAFIK W=f(x)

X (m)

W (

n)

GRAFIK PEGAS KECIL - PENGURANGANW (y) xy x^2

1.05 0.190 0.0331.669 0.387 0.0542.269 0.640 0.0802.908 0.971 0.1123.504 1.342 0.147

11.4 3.530 0.424

BATAS -5.75BAWAH 5.00NILAI B -1.15

X Y0 -1.15

0.1 0.060.2 1.280.3 2.490.4 3.710.5 4.920.6 6.14

0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

gRAFIK W=f(x)

X (m)

W (

n)

GRAFIK PEGAS BESAR - PENAMBAHANsimpangan (m) (x) W (y) xy

0.245 1.05 0.2570.327 1.669 0.5460.411 2.269 0.9330.498 2.908 1.4480.578 3.504 2.025

TOTAL 2.059 11.4 5.209

A BATAS 2.57 ATASBAWAH 0.35 BAWAHNILAI A 7.34 NILAI B

PERSAMAAN GRAFIK

A B X Y7.34 -0.747.34 -0.74 0.1 0.007.34 -0.74 0.2 0.727.34 -0.74 0.3 1.467.34 -0.74 0.4 2.197.34 -0.74 0.5 2.937.34 -0.74 0.6 3.667.34 -0.74 0.6 4.00

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

gRAFIK W=f(x)

X (m)

W (

n)

GRAFIK PEGAS BESAR - PENAMBAHAN GRAFIK PEGAS BESAR - PENGURANGANx^2 simpangan (m) (x)

0.060 0.2470.107 0.330.169 0.410.248 0.4950.334 0.5780.918 TOTAL 2.06

A-3.72 ATAS 2.545.00 BAWAH 0.34

-0.74 NILAI A 7.43

PERSAMAAN GRAFIK

A B7.43 -0.787.43 -0.787.43 -0.787.43 -0.787.43 -0.787.43 -0.787.43 -0.78

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

gRAFIK W=f(x)

X (m)

W (

n)

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

gRAFIK W=f(x)

X (m)

W (

n)

GRAFIK PEGAS BESAR - PENGURANGANW (y) xy x^2

1.05 0.259 0.0611.669 0.551 0.1092.269 0.930 0.1682.908 1.439 0.2453.504 2.025 0.334

11.4 5.205 0.917

BATAS -3.91BAWAH 5.00NILAI B -0.78

X Y0.1 0.000.6 4.000.2 0.700.3 1.450.4 2.190.5 2.930.6 3.68

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

gRAFIK W=f(x)

X (m)

W (

n)

PEGAS SIMPANGAN m (g) t1 t2 t3 t4 t5

5 cm

105 g 8.78 8.8 8.84 8.8 8.87 8.818166,9 g 11.31 11.29 11.24 11.28 11.29 11.282168,9 g 11.43 11.46 11.39 11.42 11.48 11.436226,9 g 13.17 13.23 13.24 13.26 13.27 13.234224,6 g 13.17 13.23 13.24 13.31 13.23 13.236

7 cm

105 g 8.75 8.87 8.78 8.73 8.86 8.798166,9 g 11.34 11.4 11.4 11.37 11.32 11.366168,9 g 11.43 11.51 11.54 11.56 11.54 11.516226,9 g 13.17 13.17 13.31 13.26 13.18 13.218224,6 g 13.21 13.17 13.32 13.18 13.26 13.228

5 cm

105 g 12.1 12.07 12.07 12.09 12.04 12.074166,9 g 14.72 14.73 14.81 14.78 14.68 14.744168,9 g 15.16 15.07 15.09 15.15 14.97 15.088226,9 g 17.1 17 16.98 16.98 16.89 16.99224,6 g 16.87 16.85 16.84 16.9 16.87 16.866

7 cm

105 g 12.01 12.1 12.14 12.14 12.14 12.106166,9 g 14.7 14.76 14.7 14.75 14.68 14.718168,9 g 15.16 15.09 15.16 15.06 15.19 15.132226,9 g 17 16.95 17 17.02 16.95 16.984224,6 g 16.98 17.01 16.92 16.98 16.93 16.964

:𝑡

PEGAS KECIL

PEGAS BESAR

D I K0.00528 0.0162 0.18% 99.82%0.00268 0.0116 0.10% 99.90%0.00492 0.0157 0.14% 99.86%0.00612 0.0175 0.13% 99.87%0.00992 0.0223 0.17% 99.83%0.01628 0.0285 0.32% 99.68%0.00512 0.0160 0.14% 99.86%0.01052 0.0229 0.20% 99.80%0.01628 0.0285 0.22% 99.78%0.01548 0.0278 0.21% 99.79%0.00212 0.0103 0.09% 99.91%0.01052 0.0229 0.16% 99.84%0.02328 0.0341 0.23% 99.77%

0.0224 0.0335 0.20% 99.80%0.00212 0.0103 0.06% 99.94%0.01272 0.0252 0.21% 99.79%0.00488 0.0156 0.11% 99.89%0.01188 0.0244 0.16% 99.84%0.00412 0.0144 0.08% 99.92%0.00572 0.0169 0.10% 99.90%

S(t- :)𝑡 2