Simple Harmonic Motion on a moving platform

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SUMMARY

The discussion focuses on solving problems related to Simple Harmonic Motion (SHM) involving a mass on a moving platform with two springs. The correct expression for angular frequency when the platform is at rest is confirmed as ω=√((k1+k2)/m), where k1 and k2 are the spring constants. Additionally, to find the amplitude of the mass when the platform moves according to the equation d(t)=D*cos(10πt), participants suggest analyzing the positions of the endpoints as functions of time to derive the necessary distances for calculations.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of spring constants and their application in physics
  • Familiarity with angular frequency calculations
  • Ability to analyze motion equations in physics
NEXT STEPS
  • Study the derivation of angular frequency in systems with multiple springs
  • Learn how to analyze motion equations in SHM
  • Explore the concept of amplitude in oscillatory systems
  • Investigate the effects of moving platforms on SHM
USEFUL FOR

Students studying physics, particularly those preparing for exams in mechanics and oscillatory motion, as well as educators looking for examples of SHM applications in real-world scenarios.

chrisy2012
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I had my physics midterm today and I totally blanked out. I want to know how to solve it for next time.

So In the picture, there are two springs connected to the mass on a platform.
a) if the platform is at rest, find the angular frequency

the expression for angular frequency is :ω=√(k/m), so I just added the two k's and plugged it into k and got :ω=√((k1+k2)/m). Is this correct?

b)The platform then started to move in SHM with the equation d(t)=D*cos10∏t. We had to find the amplitude of mass M. This is where I tripped up and don't know how to solve it. Any ideas?
 

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hi chrisy2012! :smile:
chrisy2012 said:
the expression for angular frequency is :ω=√(k/m), so I just added the two k's and plugged it into k and got :ω=√((k1+k2)/m). Is this correct?

maybe!

how would you prove it? :wink:​
b)The platform then started to move in SHM with the equation d(t)=D*cos10∏t.

find the positions of the two endpoints as functions of t, and that will help you find the distances to multiply by the spring constants :smile:
 

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