The problem involves a mass tied to a string and spun in a vertical circle, with the goal of determining the minimum frequency required to keep the mass moving. The context includes considerations of forces acting on the mass, particularly gravitational force.
The discussion is active, with participants exploring the relationship between gravitational force and centripetal force. There is acknowledgment of the need to consider gravity in the context of the problem, and some participants have drawn diagrams to support their reasoning.
Participants are considering the scenario of the mass at different points in the vertical circle, particularly at the top and bottom, to analyze the forces involved. There is an emphasis on the assumptions regarding the effects of gravity on the motion of the mass.
That equation is not quite right. (And it's spelt pi, not pie.)Smartgurl said:Fc=m4(pie)rf^2
Is the equation Fc = m4(pi)^2rf^2haruspex said:That equation is not quite right. (And it's spelt pi, not pie.)
Yes.Smartgurl said:Is the equation Fc = m4(pi)^2rf^2
Would Fg = Fc?haruspex said:Yes.
Now what about BvU's point? You need to consider gravity.
Yes, but is that just a lucky guess or can you mount an argument to say it should be that?Smartgurl said:Would Fg = Fc?
So I could get mg = m4(pi)^2rf^2. Then solve for f?
I drew a diagram and I think that when the mass is at the top it will need the minimum Fc as gravity will help bring it down. Where at the bottom the Fc will have to overcome gravity to bring the mass back up. So gravity will be the only force acting on the mass and bringing it down when it is at the top.haruspex said:Yes, but is that just a lucky guess or can you mount an argument to say it should be that?
Good.Smartgurl said:I drew a diagram and I think that when the mass is at the top it will need the minimum Fc as gravity will help bring it down. Where at the bottom the Fc will have to overcome gravity to bring the mass back up. So gravity will be the only force acting on the mass and bringing it down when it is at the top.
Thank you so much! Now it seems simple since I understand itharuspex said:Good.