Calculating SHM Parameters: Speed and Acceleration at Different Points

AI Thread Summary
To calculate the speed and acceleration of a 2kg body in simple harmonic motion (SHM) with a force constant of 3.16 N/m and an amplitude of 30mm, the acceleration at the midpoint is 0, while the velocity at maximum displacement is also 0. The user initially struggled to determine the angular frequency (omega) needed for calculations but was reminded that omega can be derived from the mass and force constant. After realizing that the force constant is indeed k, the user expressed embarrassment over the oversight. The discussion highlights the importance of understanding fundamental SHM equations for accurate calculations.
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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