Solving BoB Vibration Question: Angles, Velocity & Acceleration

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SUMMARY

The discussion focuses on solving a physics problem involving a pendulum, specifically a bob (BoB) released from rest with a length of 102 cm and an initial angle of ±5 degrees under the influence of gravity (g = 9.81 m/s²). The key equations for simple harmonic motion (SHM) are highlighted, particularly theta = A sin(wt + φ), where φ represents the phase angle. Participants emphasize the importance of showing all work and deriving parameters such as angular frequency (w) and amplitude (A) to facilitate peer review of calculations.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of angular frequency and amplitude in pendulum motion
  • Familiarity with basic trigonometric functions
  • Ability to perform calculus derivatives
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  • Learn how to calculate angular frequency (w) for pendulum motion
  • Study the derivation of amplitude (A) in SHM
  • Explore the concept of phase angle (φ) in oscillatory systems
  • Practice solving SHM problems using differential equations
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Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for problem-solving techniques in simple harmonic motion.

FChebli
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1. Homework Statement :

BoB released from rest, L = 102 cm, theta = +-5 degrees, g = 9.81 m/s2
assume a SHM
(I) Determine the angle theta after 1.6 s
(II) Determine the magnitudes of velocity & acceleration of the BoB at 1.6 s

Homework Equations



theta = A sin (w t + phai)

The Attempt at a Solution



Does pahi represent the period? And how do I get it?
Do I derive theta once & twice? And why?
How do I get w & A?

Thank you!
 
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FChebli: You must list relevant equations yourself, and show your work; and then someone might check your math. We are not allowed to provide answers here. We can only check your math, after you do all of the work. What is BoB? Parameter phai is probably phase angle.
 

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