Solving SHM Kinematics: Find the Period!

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SUMMARY

The discussion focuses on solving a problem related to Simple Harmonic Motion (SHM) kinematics, specifically calculating the period of a mass-spring system. A 1 kg block oscillates on a spring with a spring constant (k) of 20 N/m, and the period (T) is calculated using the formula T = 2π√(m/k), resulting in a period of 1.40 seconds. The user initially struggles with the problem but realizes they were not clear on what they were solving for. This highlights the importance of understanding the fundamental concepts of SHM in solving related problems.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of mass-spring systems
  • Familiarity with the formula for the period of oscillation T = 2π√(m/k)
  • Basic trigonometry, specifically inverse cosine functions
NEXT STEPS
  • Study the derivation and applications of the SHM period formula
  • Learn about energy conservation in mass-spring systems
  • Explore the effects of damping on SHM
  • Investigate the relationship between amplitude, frequency, and period in SHM
USEFUL FOR

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

G01
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Hi there I'm having a little trouble doing problems with SHM kinematics. I think its because I have yet to find a good method of solving them. I'll post one and show what I can do. Them I hope someone can help me find a good method to solving it.A 1 kg block oscillates on a spring with k= 20 N/m. At t= 0s the block is 20cm to the right of equilibrium. and moving to the left with v= -100cm/s.
What is the Period?All I can figure out is that [tex]\phi_0 = \cos^{-1} (\frac{x_0}{A})[/tex]

And that [tex]T= 2\pi \sqrt{\frac{m}{k}} = 1.40s[/tex]

Any hints at all? I can't seem to find any expression for the other variables that'll help, but maybe I'm forgetting some. Any help?
 
Last edited:
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WAIIIIIIIIIT A MINUTE I SOLVED THIS I forgot what i was solveing for sry!
 

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