Simple harmonic motion , Particle

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SUMMARY

The discussion centers on solving a simple harmonic motion (SHM) problem involving a 150-gram particle oscillating over a distance of 24 cm with an average speed of 60 cm/s. Key calculations include determining the angular frequency, maximum force, and maximum speed of the particle. The angular frequency can be derived from the relationship between speed and displacement, while the maximum force can be calculated using the spring force formula, Fsp = kx, where k is the spring constant and x is the displacement.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM) principles
  • Knowledge of the relationship between force, mass, and acceleration
  • Familiarity with the spring force formula (Fsp = kx)
  • Basic calculus for deriving angular frequency from motion equations
NEXT STEPS
  • Learn how to calculate angular frequency in SHM using the formula ω = 2π/T
  • Study the derivation of maximum speed in SHM, v_max = ωA
  • Explore the concept of spring constant (k) and its role in SHM
  • Investigate the relationship between mass, force, and acceleration in oscillatory motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of SHM problems and solutions.

EvilBunny
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Homework Statement



A 150 grams particle oscillating in SHM travels 24 cm between the two extreme points in its motion with an average speed of 60cm/s

Find
a) angular frequency
b) the maximum force on the particle
C) the maximum speed


The Attempt at a Solution



My first question would be what approach to use ?? This is the first problem I do with a particle. I am having trouble just finding the angular frequency and I don't even know if am suppose to use the weight for the first answer.

My second question is , what do they mean by maximum force on the particle ?
is it somewhat like a spring Fsp = kx ?
 
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EvilBunny said:
A 150 grams particle oscillating in SHM travels 24 cm between the two extreme points in its motion with an average speed of 60cm/s

Find
a) angular frequency
b) the maximum force on the particle
C) the maximum speed

Hi EvilBunny! :smile:

SHM means the acceleration is proportional to (minus) the distance …

x'' = -kx.

You should be able to get everything from that (and no, you only need the weight for part b). :smile:
 

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