The minimum frequency required to keep a mass of 200 grams tied to a 1.6-meter string moving in a vertical circle is determined using the equation Fc = m4(pi)^2rf^2, where Fc represents the centripetal force. The gravitational force (Fg) acting on the mass must be considered, particularly at the top of the circle where it aids in maintaining motion. At the bottom of the circle, the centripetal force must overcome gravity. This understanding clarifies the relationship between gravitational force and centripetal force in circular motion.
PREREQUISITESStudents studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to forces in motion.
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.