The discussion focuses on the dynamics of an object in vertical circular motion, specifically at point D where the normal force (R) is assumed to be zero. The equation R + W = mv²/r is used to analyze the forces, where W represents weight and mv²/r denotes centripetal force. It is established that at R=0, gravity alone provides the necessary centripetal force, allowing the object to maintain circular motion without contact. This scenario is likened to a satellite in orbit, emphasizing the critical speed of √(rg) for sustained motion.
PREREQUISITESPhysics students, educators, and anyone interested in understanding the principles of motion in vertical circles and the dynamics of forces acting on objects in such scenarios.
Based on the fact that normal forces are contact forces perpendicular to the tangent of the curve that in this instance must push on the object. If it is less than 0, contact is lost. So it must push with a value greater than 0. Problem is looking for minimums.influx said:
PhanthomJay said:
Yes, gravity only supplies the centripetal force without contact at that point D. The pellet remains at a distance 2 feet from the center of the circle without 'dropping', even though contact is momentarily lost, and with a speed of \sqrt{rg}. It behaves like a satellite in orbit at that specific point, no contact necessary at that point. If the speed was less than that, then continuous circular motion could no be maintained.influx said: