LabTheSimplePendulum

LabTheSimplePendulum - THE SIMPLE PENDULUM (Simple Harmonic...

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1 OBJECTIVE a) Calculate the acceleration of gravity ‘g’ and compare with expected value by analyzing the motion of a pendulum moving with Simple Harmonic Motion(SHM). b) Calculate the length of a pendulum so that it can be used a pendulum clock. EQUIPMENT 1. 2-m length of string 2. 1 large support rod, 1 small support rod, and 1 clamp 3. hanger 4. stopwatch 5. 2-m stick THEORY Consider a pendulum of length ‘L’ and mass ‘m’. Suppose the pendulum is swinging and at an instant in time its angular position is ‘ θ ’ with respect to the vertical. The Free-Body diagram for the pendulum is shown below at this instant in time. 1. Show that by applying N2L in the tangential direction ( Σ F t = ma t ) and by assuming small oscillations (small θ ), the following equation must be satisfied: 2 2 0 dg dt L θ  +=   Simple Harmonic Equation THE SIMPLE PENDULUM (Simple Harmonic Motion)
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2 2. Confirm that the solution to this equation is given by: () cos ( ) m tt θ θω φ =+ Solution to SHM Equation Where, θ
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LabTheSimplePendulum - THE SIMPLE PENDULUM (Simple Harmonic...

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