Calculating SHM Parameters: Speed and Acceleration at Different Points

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SUMMARY

The discussion focuses on calculating speed and acceleration of a 2kg body undergoing Simple Harmonic Motion (SHM) with a force constant of 3.16 N/m and an amplitude of 30mm. Key points include that at the midpoint of the vibration (zero displacement), acceleration is 0, and at maximum displacement, velocity is 0. The discussion emphasizes the need to calculate angular frequency (omega) using the relationship omega = sqrt(k/m), where k is the force constant and m is the mass.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of angular frequency (omega) calculation
  • Familiarity with the concepts of force constant (k) and mass (m)
  • Basic equations of motion in SHM
NEXT STEPS
  • Learn how to derive angular frequency (omega) from mass and force constant
  • Study the equations of motion for Simple Harmonic Motion
  • Explore the relationship between displacement, velocity, and acceleration in SHM
  • Investigate the effects of varying amplitude on speed and acceleration in SHM
USEFUL FOR

Students and educators in physics, particularly those studying mechanics and oscillatory motion, as well as anyone interested in understanding the dynamics of Simple Harmonic Motion.

KingBigness
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A 2kg body, moving under the influence of a force constant of 3.16N/m, vibrates in SHM with an amplitude of 30mm. Determine the speed and the acceleration,
a) at the midpoint of the vibration (ie. zero displacement)
b) at the end of the path (ie. Max displacement)
c) at a point 20mm from the midpoint


I know that for a) the acceleration will be 0 and for b) the velocity will be 0...but I am not sure how to work out the rest of it...i have many equations that will give me the answer but i need to know omega..which i can not work out.

any help would be greatly appreciated

Thank you!
 
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KingBigness said:
i have many equations that will give me the answer but i need to know omega..which i can not work out.
One of the most basic equations describing SHM tells you how to find omega in terms of m and k. (Look it up!)
 
Doc Al said:
One of the most basic equations describing SHM tells you how to find omega in terms of m and k. (Look it up!)

omg I'm a complete spastic...i didn't even register that 'constant force' is k (force constant)

wow i feel completely stupid now.

sorry for wasting your time!
 

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