LabTheSimplePendulum

# LabTheSimplePendulum - THE SIMPLE PENDULUM(Simple Harmonic...

This preview shows pages 1–3. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 2. Confirm that the solution to this equation is given by: () cos ( ) m tt θ θω φ =+ Solution to SHM Equation Where, θ
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

LabTheSimplePendulum - THE SIMPLE PENDULUM(Simple Harmonic...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online