lab 5 harmonic motion

# lab 5 harmonic motion - V1 Holder mass(m h 50 gm Spring...

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V1 V2 50 gm L= 37.8 174.5 gm # m (gm) ℓ (cm) S = L - ℓ (cm) 1 20 35.7 2.1 2 40 33.8 4.0 3 60 31.7 6.1 4 80 29.8 8.0 5 100 27.7 10.1 6 150 22.3 15.5 7 200 17.2 20.6 8 250 12.0 25.8 9 300 6.6 31.2 Spring Constant = k k = 9408 (dyne/cm) Holder mass:(m h ) Spring mass:(m s ) 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 0 50 100 150 200 250 300 f(x) = 9.6x + 1.7 Column F Linear Regression for Column F S m (gm)

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V3 m (gm) N T (s) 50.00 100.00 137.00 138.00 140.00 138.33 68.67 0.87 0.76 100.00 150.00 124.00 124.00 124.00 124.00 61.50 0.98 0.95 150.00 200.00 111.00 112.00 111.00 111.33 55.17 1.09 1.18 200.00 250.00 102.00 102.00 102.00 102.00 50.50 1.19 1.41 250.00 300.00 95.00 94.00 94.00 94.33 46.67 1.29 1.65 k= 4PI^2/S k= 8764.09 α= 0.66 k here does not equal the k in V1. m+m h (gm) C 1 C 2 C 3 C avg T 2 (s) α=(Ik)/(4PI 2 m 2 ) 0.00 50.00 100.00 150.00 200.00 250.00 300.00 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 f(x) = 0x + 0.52 m VS. T^2 Column I Linear Regression for Column I m (gm) T^2 (s)
V4 W(cm)= 1.18 m(gm) 100 # t(s) δt(s) V(cm/s) ln(V) 1 60 0.03 44.29 3.79 2 120 0.03 34.21 3.53 3 180 0.04 27.27 3.31 4 240 0.05 22.41 3.11 5 300 0.07 17.81 2.88 6 360 0.08 15.13 2.72 7 420 0.12 9.45 2.25 8 480 0.12 9.45 2.25 S= 0 Q= Piτ/T T= 2PI(l/g)

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lab 5 harmonic motion - V1 Holder mass(m h 50 gm Spring...

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