Understanding Simple Harmonic Motion: Explained in Simple Terms

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SUMMARY

This discussion focuses on the principles of Simple Harmonic Motion (SHM), specifically the relationship between tension and acceleration. It establishes that tension is proportional to acceleration, represented by the equation T = -w²(x), where T is tension, w is the angular frequency, and x is the displacement. Participants debate the correctness of options A and D, which indicate that tension equals zero when displacement is zero, confirming the fundamental characteristics of SHM.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with the equation T = -w²(x)
  • Knowledge of angular frequency (w)
  • Basic graph interpretation skills
NEXT STEPS
  • Research the mathematical derivation of Simple Harmonic Motion equations
  • Study the graphical representation of tension and acceleration in SHM
  • Explore the implications of zero displacement on tension in SHM
  • Learn about the applications of SHM in real-world systems
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the mathematical foundations of oscillatory motion.

Arun Raja
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How will you go about working out the answer?
 
Tension should be proportional to acceleration given by -w^2(x).
Thus tension and acceleration graph should be the same.
i think it is either A or D.
Please help me clarify.
 
Arun Raja said:
Tension should be proportional to acceleration given by -w^2(x).
Thus tension and acceleration graph should be the same.
i think it is either A or D.
Please help me clarify.
A and D show T=0 when x=0. Is this correct?
 

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