Spring and Pendulum Goal:

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Presentation transcript:

Spring and Pendulum Goal: Examine simple harmonic motion in an oscillating spring and a simple pendulum

Software From Desktop: Click Spring – Mass Oscillator Observe: Position, velocity and acceleration vs time

Period of Oscillation Spring – Mass (SHM) Frequency: f = 1/2π (√k/m) K – spring constant m – hanging mass Period: Tcal = 1/f = 2π (√m/k) (calculated value of period)

Period for a Pendulum Calculated value: Tcal = 2π (√L/g) L is the length of the pendulum

How to get k of the spring Measure Lo ( length of upstretched spring) L holder (length of spring with holder (m1)) L holder + 25g ----- m2 L holder + 50 g ------- m3 F = mg = - kX k1 = m1 g / (L holder - Lo) k2 = m2 g / (L holder+25g - Lo) k3 = m3 g / (L holder +50g- Lo)

Get Average of k K = (k1 + k2 + k3) / 3

Experimental value of period T (spring – mass) Observe: ti: time initial tf: time final n: number of oscillation ( peak to peak) Texp = (tf – ti)/n Calculate the error%

Experimental value of period T (Pendulum) Let the pendulum oscillate 20 times, record the time t: Period: Texp = t / 20 Error%