The problem involves determining the minimum height of a frictionless ramp required for a ball to successfully navigate a loop without falling off. The loop has a radius of 0.3 meters, and the discussion centers around the principles of energy conservation and the dynamics of motion in a loop-the-loop scenario.
Some participants have offered insights into the need for a free body diagram to analyze the forces acting on the ball at the top of the loop. There is a recognition of the importance of determining the minimum speed required for the ball to stay on the track, although no consensus has been reached on the exact calculations or interpretations.
There is a noted absence of a visual representation of the problem, which some participants suggest could aid in understanding the dynamics involved. The discussion also reflects on the assumptions made regarding the initial height and the energy considerations necessary for the ball's motion.
No :(kuruman said:Is there a picture that goes with the question? If there is, please post it.
kuruman said:If this is a "loop-the-loop" problem (as I suspect) then your solution is incorrect. If the ball starts at a height equal to the radius, then it can only rise to the same height of 0.3 meters on the other side and slide back. Energy conservation is part of the solution. The other part is that the ball must have enough speed at the top of the loop. How much speed is "enough" must be determined with a free body diagram, which is the remaining part of the solution. Even if you don't have a picture, you need to draw one in order to see what's going on.
Yes.mailmas said:Would speed be determined by: FN = mv^2/r - mg = 0