The discussion revolves around determining an expression for the period of motion in the context of simple harmonic motion (SHM) and gravitational forces. Participants are exploring the relationship between force, mass, and the period of oscillation.
Several participants have provided insights into the relationship between the force constant and the period of motion. There is ongoing exploration of how to simplify the derived expressions, with some participants expressing uncertainty about rearranging equations and the role of mass in the final expression.
Participants note that they are required to find an algebraic expression without specific numerical values. There is also a discussion about the implications of the mass in the equations and how it factors into the final expression for the period.
Not quite sure what you mean. In any case, when you simplify your expression in post #25, the mass cancels out.borobeauty66 said:Just realized that mass isn't part of the 4Gpi p/3 equation, it comes later.
Doc Al said:
They both have the same form: Force = -(some constant)x, where x is the displacement from some equilibrium point. That's all that matters.borobeauty66 said:
This is the original equation.
I'm now wondering if
F = -k x is infact equal to the above?
Those expressions are identical! (Except for the unneeded unit vector.) For the same reason that (a/b)x is the same as (ax/b).borobeauty66 said:What I meant by saying the equation was wrong was in your #3 post you put the equation wrong. In actual fact the mass should come after the division. Thus
and not
Doc Al said: