lecture35[1]

# lecture35[1] - 1 Physics 1D03 1- The Physical Pendulum- SHM...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Physics 1D03 1- The Physical Pendulum- SHM and Circular Motion- other oscillators Serway 15.4, 15.5 Practice: chapter 15, problems 26, 29, 31, 32, 35, 55, 57 Physics 1D03 2 Simple pendulum: a particle on a massless string. θ θ P CM mg “Physical” pendulum: any rigid body, pivoted at P, and free to swing back and forth. To find the period: 1) Consider the torque due to gravity 2) Write τ ( θ ) = I α = I (d 2 θ / dt 2 ) 3) SHM if τ is proportional to -θ 2 Physics 1D03 3 Calculate torque about the end: α θ α τ ⋅ = ⋅- = 2 3 1 2 sin ML L Mg I Example: a metre stick, pivoted at one end. What is its period of oscillation? “Uniform thin rod, pivot at end”: I = 1 / 3 ML 2 θ θ α sin 2 3 2 2 L g dt d- = = and so Note, this does not describe SHM! θ Mg L Physics 1D03 4 But for small oscillations, sin θ ≅ θ This is like a simple pendulum of length 2 / 3 L . L g 2 3 = ω g L T 3 2 2 2 π ω π = = θ ω θ θ 2 2 2 2 3- =- ≅ L g dt d so The angular frequency is and the period is θ Mg L 3...
View Full Document

## This note was uploaded on 12/14/2010 for the course ENGINEERIN 1D03 taught by Professor N.l.mckay during the Spring '10 term at McMaster University.

### Page1 / 7

lecture35[1] - 1 Physics 1D03 1- The Physical Pendulum- SHM...

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

View Full Document
Ask a homework question - tutors are online