Simple Harmonic Motion on a moving platform

AI Thread Summary
The discussion focuses on solving a physics problem related to simple harmonic motion (SHM) on a moving platform. The user correctly identifies the formula for angular frequency as ω=√(k/m) and combines the spring constants for the total spring constant. They seek assistance in determining the amplitude of a mass on a platform moving in SHM described by the equation d(t)=D*cos(10πt). A suggestion is made to find the positions of the endpoints as functions of time to aid in calculating the necessary distances. The conversation emphasizes understanding the relationship between the motion of the platform and the mass's response.
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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